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Paper Citation Record · LEDGER

Graphical Functions by Examples

As of 5 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2604.25739.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2604.25739 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-07T15:43:38.415325Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:54:14.228734Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

  • verified exact40
  • verified fuzzy14
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 939a2a83-feec-448c-9d27-f95a4c17f0a2 · outbound

This paper cites Graphical functions and single-valued multiple polylogarithms.

Graphical Functions by Examples Graphical functions and single-valued multiple polylogarithms

Reference 1

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arxiv_id, observed 2026-05-12T00:11:15.091806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:bcbbf6919cdf3e9577c2152df665eef3f4679ee9504df9962cb1c904d1688b4a

Observation b5ec9a22-5904-4e89-910c-9cc588defa76 · outbound

This paper cites Graphical functions in even dimensions.

Graphical Functions by Examples Graphical functions in even dimensions

Reference 2

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arxiv_id, observed 2026-06-10T02:10:29.456633Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:2873f22c614eccae3df78ff1fdb2c1be4f883a997aad5614b4d93e96256fbcea

Observation 0ffac0e0-8e5f-465e-bb96-64433749071e · outbound

This paper cites $\phi^3$ theory at six loops.

Graphical Functions by Examples $\phi^3$ theory at six loops

Reference 3

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arxiv_id, observed 2026-05-12T00:11:15.261002Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:146613c927d443cb2d5a620286e93b9321c55fdcd39053a4a4ed7ba0cf376a58

Observation 0ec7551f-8f89-4499-8769-07b0ea4d41a7 · outbound

This paper cites Seven loops $\phi^4$.

Graphical Functions by Examples Seven loops $\phi^4$

Reference 4

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arxiv_id, observed 2026-05-12T00:11:15.365663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:5c0cd0fb98039bea6a3d7658fedd948013c1d2d23484c05cc4ab54ed14e1d995

Observation 0ac62020-0611-48c5-b70d-8c46436d1e05 · outbound

This paper cites Leading singularities and off-shell conformal integrals.

Graphical Functions by Examples Leading singularities and off-shell conformal integrals

Reference 5

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arxiv_id, observed 2026-05-12T00:11:15.324447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:1dbc1cfc9d509ffc8ae4616f08ccd52c8b17b52c342396070c09c94480e45ce6

Observation 3a121292-6598-4d5e-bd4b-1ce0083c8e99 · outbound

This paper cites Schnetz,HyperlogProcedures, https: // github.

Graphical Functions by Examples Schnetz,HyperlogProcedures, https: // github

Reference 6

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raw_fallback, observed 2026-05-27T03:03:27.063253Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:784b8dd614c8a493732c8ffdb524f577efc6165d1ce7861141986799f3b3cd5c

Observation 028842c0-dbc7-4bb0-a9e6-dd2af6831474 · outbound

This paper cites Weinzierl,Feynman Integrals.

Graphical Functions by Examples Weinzierl,Feynman Integrals

Reference 7

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doi, observed 2026-05-09T02:19:38.737305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:ecf5f9eef2b60e9a851f7dafbb52bbd45e575f591b12aa624d88d5e6e63a5a82

Observation 13ddaaf0-a335-4bdb-8ae8-717363ece8b3 · outbound

This paper cites Deligne,Le groupe fondamental de la droite projective moins trois points, inGalois Groups over Q, vol.

Graphical Functions by Examples Deligne,Le groupe fondamental de la droite projective moins trois points, inGalois Groups over Q, vol

Reference 8

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raw_fallback, observed 2026-05-27T03:03:27.052508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:9fd4a65fe91f9c645bf0a65dc049850be5931c95deeffcb237cc9474de8c1c55

Observation de8e68cf-21d7-4f9d-930f-76d067d4a7d8 · outbound

This paper cites Brown,Polylogarithmes multiples uniformes en une variable,Comptes Rendus.

Graphical Functions by Examples Brown,Polylogarithmes multiples uniformes en une variable,Comptes Rendus

Reference 9

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raw_fallback, observed 2026-05-27T03:03:27.066113Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:b51403563ba35018943bded13384cf473519afa0bb99a5b76154edfc0da0da32

Observation 746f86c5-a29e-497d-8274-b612c8fbcbc9 · outbound

This paper cites Single-valued hyperlogarithms and unipotent differential equations.

Graphical Functions by Examples Single-valued hyperlogarithms and unipotent differential equations

Reference 10

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raw_fallback, observed 2026-05-27T03:03:27.042988Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:dca00e43ef4e5bd2f2aa60930fae0c48618e4208f5f099a25dd681e8281b86d1

Observation 8f5d5182-ad6c-49b6-96b8-944ba8b9bef2 · outbound

This paper cites Zagier,The dilogarithm function, inFrontiers in Number Theory, Physics, and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization, P.

Graphical Functions by Examples Zagier,The dilogarithm function, inFrontiers in Number Theory, Physics, and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization, P

Reference 11

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raw_fallback, observed 2026-05-27T03:03:27.049305Z

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:fc51331bd6cea5c2a3d05089ffe8e508481de5374c1c62b26243641512f979dc

Observation 51da7473-6d9e-49bb-a251-f18984bd9b0e · outbound

This paper cites Kontsevich and D.

Graphical Functions by Examples Kontsevich and D

Reference 12

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raw_fallback, observed 2026-05-27T03:03:27.068950Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:cc0ebde81f621110913037835da64590e121d20fe6e2482d3ac11caefc2db54a

Observation feb80f4c-03da-48fa-9523-43c52f5418c9 · outbound

This paper cites Generalized single-valued hyperlogarithms.

Graphical Functions by Examples Generalized single-valued hyperlogarithms

Reference 13

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arxiv_id, observed 2026-05-12T00:11:15.097678Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:9fb157913bda938349cf72d63c41f297710ec065baf6aca8567e432823e18363

Observation 8ca923d1-b9c6-48b4-aa63-ec9e44a574bf · outbound

This paper cites Chetyrkin, A.L.

Graphical Functions by Examples Chetyrkin, A.L

Reference 14

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raw_fallback, observed 2026-05-27T03:03:27.075258Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:bc518edd0093f49ba8ae2c1b792197a37d83166ae99e06e048615ef5e859dc92

Observation d0e8edb3-5712-457b-916a-068e195b30b8 · outbound

This paper cites Calculation of the phi^4 6-loop non-zeta transcendental.

Graphical Functions by Examples Calculation of the phi^4 6-loop non-zeta transcendental

Reference 15

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arxiv_id, observed 2026-07-04T14:33:33.397280Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:5ca5967f616c184e45d9b5dfd3f1cca25080dcdc9206778499f7c23780df4ece

Observation 9be5bd31-7dd3-4a28-bdd0-e14913229b5a · outbound

This paper cites Quantum periods: A census of \phi^4-transcendentals.

Graphical Functions by Examples Quantum periods: A census of \phi^4-transcendentals

Reference 16

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arxiv_id, observed 2026-05-12T00:11:15.104935Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:1b97d9e57c3caf4556f73cc4a227c6d1a24c9dd3103f53377f6333e32a94a5c3

Observation 52693303-44ae-4e36-99b6-9cd9e7c7b506 · outbound

This paper cites ’t Hooft and M.J.G.

Graphical Functions by Examples ’t Hooft and M.J.G

Reference 17

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raw_fallback, observed 2026-05-27T03:03:27.071923Z

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:cdc40d478311e09b5160256c1488609913a378ca654ed4e4690a1f7a3331448f

Observation 6f4cd2e4-fb0e-45e2-8a62-d8fc9b0fdbe8 · outbound

This paper cites Bollini and J.J.

Graphical Functions by Examples Bollini and J.J

Reference 18

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raw_fallback, observed 2026-05-27T03:03:27.055891Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:c79581da7690920a56d2333a4efec9a4b4d16b0c1ee816b15c78d29b198ef3bd

Observation 07350b18-261f-4b29-b3a6-e7491e17a3a6 · outbound

This paper cites Graphical functions in parametric space.

Graphical Functions by Examples Graphical functions in parametric space

Reference 19

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arxiv_id, observed 2026-07-04T21:59:13.149001Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:96e056b611776fb0491aae6147387c1894c344432c0c99d311a84aa04790130d

Observation cffe96ab-9823-45e8-9fff-60715ea32c68 · outbound

This paper cites Expansion by regions: an overview.

Graphical Functions by Examples Expansion by regions: an overview

Reference 20

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arxiv_id, observed 2026-05-12T00:11:15.231348Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:437a479740a7ef2699a74b162380ef25ae608521729ced1321ed3946cad8d78b

Observation fa243a80-ceeb-4959-afbe-f59ab40e0d67 · outbound

This paper cites Chetyrkin and F.V.

Graphical Functions by Examples Chetyrkin and F.V

Reference 21

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raw_fallback, observed 2026-05-27T03:03:27.046258Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:b945d230a10b2f3d404d7b5b10adf6450ceb423e66eab4a54f3e9af22b456c5e

Observation bd4777b6-310f-4680-b95a-ad1f75e6077e · outbound

This paper cites High-precision calculation of multi-loop Feynman integrals by difference equations.

Graphical Functions by Examples High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 22

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arxiv_id, observed 2026-05-12T00:11:15.027553Z

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:e4d9f2c0f4fbea4da5e666e4256069493ef57408ce83ba44ed5b43ce0e343741

Observation 7f0dd820-596e-4594-8eda-9b6a2969493b · outbound

This paper cites The massless higher-loop two-point function.

Graphical Functions by Examples The massless higher-loop two-point function

Reference 23

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arxiv_id, observed 2026-05-12T00:11:15.293469Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:4c3addcf5a75addbe2369ec583898f771bd57870e5958f453c8fc6dd01e219f5

Observation e6aa39a1-f0bd-4dad-ac05-efcdf78981e7 · outbound

This paper cites Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals.

Graphical Functions by Examples Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

Reference 24

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arxiv_id, observed 2026-05-12T00:11:15.079325Z

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:57506f797fedc514a4a9b943db7c8df893ade6644ba4a53165c3e68a27c160d7

Observation 1fbbe515-6d82-4120-a418-3b96d94002ea · outbound

This paper cites Kardos, S.

Graphical Functions by Examples Kardos, S

Reference 25

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arxiv_id, observed 2026-05-12T00:11:15.160878Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:fdc769b4a262fe5a3ad237f9417736b3f78e66f69def75ec09d9fb704ded3c5a

Observation f034e9f8-73bc-4bf4-8aed-e2537c74ded2 · outbound

This paper cites Davies, T.

Graphical Functions by Examples Davies, T

Reference 26

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arxiv_id, observed 2026-05-12T00:11:15.371539Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:df6472d1ee2f647566fb93a9379898f13b3191d739d0fd4e359a8489df56ab4d

Observation 442d03a1-171a-4e22-8a9b-3f6e63b36112 · outbound

This paper cites The Galois coaction on $\phi^4$ periods.

Graphical Functions by Examples The Galois coaction on $\phi^4$ periods

Reference 27

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arxiv_id, observed 2026-05-12T00:11:15.135374Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:d93be3a422423e8fe0819d3967ee477b16716add2a43dae1c6cc31509f1cdd2a

Observation cdb6fc2e-e21f-487e-92dc-818f1ffce071 · outbound

This paper cites Feynman Amplitudes and Cosmic Galois group.

Graphical Functions by Examples Feynman Amplitudes and Cosmic Galois group

Reference 28

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arxiv_id, observed 2026-05-12T00:11:15.144130Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:79fc2e97eeee04b162bbe9065c3a7820b30d157116a3420ee4855ebc43d4075a

Observation e1c4bf57-e8ce-4cca-937b-dd0a58727a12 · outbound

This paper cites Notes on Motivic Periods.

Graphical Functions by Examples Notes on Motivic Periods

Reference 29

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arxiv_id, observed 2026-05-12T00:11:15.073723Z

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:b534138301a1b1aeac33aa80b4f64adc27ae18ec6add0ee55b91a715aa3bb61a

Observation d383fc84-b5b1-410a-8e3a-4a5460733e73 · outbound

This paper cites Gross and A.

Graphical Functions by Examples Gross and A

Reference 30

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:606ba371abf21f4390b16543bd82c5a87b738333ed5e23091dfefeb2b20d96e6

Observation f7f14d50-a241-4f20-8ea0-bac07afe8759 · outbound

This paper cites Graphical functions with spin.

Graphical Functions by Examples Graphical functions with spin

Reference 31

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arxiv_id, observed 2026-05-12T00:11:15.377354Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:42eda2fe1273624b4987de1caf4b205ddf50e38381fb3ae616ba10d5c586c3df

Observation 70547359-550e-43b5-bf29-19642c2450ff · outbound

This paper cites Numbers and Functions in Quantum Field Theory.

Graphical Functions by Examples Numbers and Functions in Quantum Field Theory

Reference 32

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arxiv_id, observed 2026-05-12T00:11:15.056898Z

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:54a3233ecd1a55bf3f9a3cd4777eb5317504ec63dd9847be4475a8210f64d97b

Observation 9ccc3ec3-8595-4d90-98ea-28dc6e2bbf8a · outbound

This paper cites Kazakov,The method of uniqueness, a new powerful technique for multiloop calculations, Physics Letters B133(1983) 406.

Graphical Functions by Examples Kazakov,The method of uniqueness, a new powerful technique for multiloop calculations, Physics Letters B133(1983) 406

Reference 33

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raw_fallback, observed 2026-05-27T03:03:27.033561Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:a8b55c62c01c0a9842581cbd8048519f924bb87d71f9c873335adbd056c77253

Observation 0c2c0a45-eb34-4cee-ba22-6e03540ce480 · outbound

This paper cites Knots and Numbers in $\phi^4$ Theory to 7 Loops and Beyond.

Graphical Functions by Examples Knots and Numbers in $\phi^4$ Theory to 7 Loops and Beyond

Reference 34

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arxiv_id, observed 2026-05-12T00:11:15.046990Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:b143e970580b15006b4f949403ffc0845340d6eed01897752bf73d0a158018af

Observation a213157f-fdba-42c8-859a-8fe71feb06b1 · outbound

This paper cites Magic identities for conformal four-point integrals.

Graphical Functions by Examples Magic identities for conformal four-point integrals

Reference 35

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arxiv_id, observed 2026-05-12T00:11:15.037734Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:92207d5e92ccd91e531d2ad0a4d4d201d4402d074680ce17c3eaebc0af828a7d

Observation d45b5c88-1af5-4188-b18a-97847118f5e3 · outbound

This paper cites an unresolved cited work.

Graphical Functions by Examples Unresolved cited work

Reference 36

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raw_fallback, observed 2026-05-27T03:03:27.037752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:67ef7cc08ef39f260db4df756982d8798db189aee9a57070d40262de93152683

Observation f60c5be4-379b-4614-89b6-6227394fd8ff · outbound

This paper cites Schnetz,The five-twist identity for Feynman periods,2505.02578.

Graphical Functions by Examples Schnetz,The five-twist identity for Feynman periods,2505.02578

Reference 37

Resolution
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arxiv_id, observed 2026-05-12T00:11:15.242904Z

Source-reported events for the cited work

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:a9d4b904f168e1ba60e837ad6128d3270ce397ebbddab7d0ff1f0aa9858264d4

Observation 91bf2a2e-0af2-4aaa-a873-e3b2c343f03b · outbound

This paper cites Self-duality of massless scalar three-point amplitudes.

Graphical Functions by Examples Self-duality of massless scalar three-point amplitudes

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-05-12T00:11:15.308083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:2e0c5ca4bf03cccc5b63a16aa7dde9bcd66e87ea94dd2cac960e74198c1f2ef8

Observation 3ce9bfe5-0a3a-4c38-8847-ff96a2c710c2 · outbound

This paper cites Hepp's bound for Feynman graphs and matroids.

Graphical Functions by Examples Hepp's bound for Feynman graphs and matroids

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.302417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:ce5921e086f322a65a12fa2ecbe36e1efd1d8979344ee94dbef56fdffbcb06bc

Observation 976e2fb4-87e1-4e9e-84a4-14e3c7bdacab · outbound

This paper cites Panzer,HyperInt,https: // bitbucket.

Graphical Functions by Examples Panzer,HyperInt,https: // bitbucket

Reference 40

Resolution
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raw_fallback, observed 2026-05-27T03:03:27.040298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:db532f388c2e8905a64b96191e0004e702bc50f2150af1f6473f7ccfe9aa61cb

Observation 92148efe-0dcb-4356-a274-72db137c96fc · outbound

This paper cites Kardos, S.

Graphical Functions by Examples Kardos, S

Reference 41

Resolution
verified exact
doi, observed 2026-05-09T02:19:38.741835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:40fcc50185b50ca3364457b0f5f60f594f1d933ed5c50df90f98f5e90891f94f

Observation 6b84444e-fe92-4be6-b0df-c640e61a6402 · outbound

This paper cites On the periods of some Feynman integrals.

Graphical Functions by Examples On the periods of some Feynman integrals

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.252171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:511df75d018fdf75e26f65a044862ba6c79945712b3c4f5f0dac686ce2186c62

Observation 10cba5fd-54a8-416a-80b7-8e27909b03ce · outbound

This paper cites Angles, scales and parametric renormalization.

Graphical Functions by Examples Angles, scales and parametric renormalization

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.066089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:c22d42fcbc487639347c348589c2146d51c51947bc9d345a5152b8a771062d62

Observation 122bde27-4cae-4ee6-88e3-a8297658bf07 · outbound

This paper cites On the Hopf algebra structure of perturbative quantum field theories.

Graphical Functions by Examples On the Hopf algebra structure of perturbative quantum field theories

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.385957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:d434da4a1b8bbfc88e95958986d0891a9f843ba67d25120f318488c65baf7d4e

Observation 721d8ac7-93b0-43e3-a642-dfeb723e71cd · outbound

This paper cites Renormalization in quantum field theory and the Riemann-Hilbert problem.

Graphical Functions by Examples Renormalization in quantum field theory and the Riemann-Hilbert problem

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:14:57.892616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:447e4bc5b284c12ff8d4df97bb6335d2927d35f730f1f364c0b36ceb6cf436bf

Observation d341f47d-6e24-4b2b-a92d-c92729c0acdb · outbound

This paper cites Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem.

Graphical Functions by Examples Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.219137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:2c632c76981dfeaabd2f9113c3545281c60ac96b961fa62e45b6301e6ad0e23f

Observation f91c10c3-47fc-4fd9-aa36-54a6c1f73058 · outbound

This paper cites Hopf algebraic Renormalization of Kreimer's toy model.

Graphical Functions by Examples Hopf algebraic Renormalization of Kreimer's toy model

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.279340Z

Source-reported events for the cited work

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:5f9cf4c3690aedf94a87274d39372b3e4ee030c9e08bac023a70ee97def9b827

Observation 40d0924a-46cc-4fe1-9ace-c47d99e01fb3 · outbound

This paper cites Combinatorics of (perturbative) quantum field theory.

Graphical Functions by Examples Combinatorics of (perturbative) quantum field theory

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:21:03.867501Z

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:4ed06ee7bab1c68b3e747ab4738b6fc8e254bd6115b938ef59b15462b138ce4d

Observation dffa58ff-f2f8-44d7-8f5c-67b8f89bb85c · outbound

This paper cites Jiang,Notes on Fourier transform and its application to three-point momentum-space integrals,Phys.

Graphical Functions by Examples Jiang,Notes on Fourier transform and its application to three-point momentum-space integrals,Phys

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.333793Z

Source-reported events for the cited work

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source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:5cbdf325b8bd09092d1351ef413299edcb85012671e2340189687eda1e7df111

Observation aadc54e9-4893-4946-927e-f201dcd589e8 · outbound

This paper cites Lectures on differential equations for Feynman integrals.

Graphical Functions by Examples Lectures on differential equations for Feynman integrals

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.207007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:449e5e8de5f920a6514541966ef11beb3ff6c2bd95d535460d5a41e840058267

Observation 97b6e0db-7ae4-41b6-b4cd-ded86b1baa59 · outbound

This paper cites Scattering Amplitudes in Quantum Field Theory.

Graphical Functions by Examples Scattering Amplitudes in Quantum Field Theory

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.352019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:c01994095060ed8f99a15e0e4b69cbb098833b4bb4a568c867a8ac95a20e4549

Observation 7ee9e353-5a8c-4305-aa02-3fff119d9057 · outbound

This paper cites Smirnov,Evaluating Feynman integrals,Springer Tracts Mod.

Graphical Functions by Examples Smirnov,Evaluating Feynman integrals,Springer Tracts Mod

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T03:03:27.030671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:696b792e4ea9bcc212b349b340d7692cfdcf85168b76b48af813ef01dd386a08

Observation 353c8669-129f-4a9a-b89b-7d949692d827 · outbound

This paper cites Mellin-Barnes Integrals: A Primer on Particle Physics Applications.

Graphical Functions by Examples Mellin-Barnes Integrals: A Primer on Particle Physics Applications

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.112135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:36df01507da47ebc7dbdeff2b2121ba5b2f502cc2f795039bc3dea6b84dcf9df

Observation 1fdc313a-5c8a-4e38-bdaf-ad5c83e046eb · outbound

This paper cites Mathematical aspects of scattering amplitudes.

Graphical Functions by Examples Mathematical aspects of scattering amplitudes

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.341526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:847016b9fef28d4fda21e6ac933fe63333b874d60ad5bc952d2d6431781a31db

Observation f068adb7-aba2-4b3b-964b-5c95a572c418 · outbound

This paper cites Hopf algebras, from basics to applications to renormalization.

Graphical Functions by Examples Hopf algebras, from basics to applications to renormalization

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.188237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:fbcb66e9cdff95f220830e3a8ca737b395c5592fa74f354d87bbe70216ffb4c1

Pith citing papers

Observation 431751ca-5ba7-45c8-990d-22fbab20d6ad · inbound

Notes on the bootstrap of four-point conformal integrals cites this paper.

Notes on the bootstrap of four-point conformal integrals Graphical Functions by Examples

Reference 7

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unresolved
no resolver link, observed 2026-08-02T06:54:14.228734Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:54:14.228734Z digest=sha256:c536da3b605581a96cf1ee0fe3e0c56070a672311f1de074b6a210e63497f077