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Paper Citation Record · LEDGER

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass

As of 17 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2412.00793.

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

pith.paper-citation-record.v1
2412.00793 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:10:10.890522Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T20:30:27.681708Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T20:35:02.663817Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98d7b1f5-b811-4ff2-8ff2-5e6f58d2b250 · outbound

This paper cites an unresolved cited work.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:10:11.208898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.805152Z digest=sha256:e430d6118a24eb811995309bf74780910b6da3f8514e65d4cf62b560234d1ffc

Observation c056c4ab-a075-4d9a-8ffd-ef7e4fce5531 · outbound

This paper cites an unresolved cited work.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:10:11.192436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.810933Z digest=sha256:2ddddfcf26830de1360b3342e344307c7e73fe235fdc12162b9b656709dba183

Observation ca2b044a-5c18-4026-a1ad-7a397de5d63b · outbound

This paper cites an unresolved cited work.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:10:11.173596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.816050Z digest=sha256:cc47cc3993c4e7cf18c0e07de3d568b9889d265d0a9ff0af8634a700396e89cc

Observation d310cc1e-2279-44fd-81ff-3d7cc9609cfa · outbound

This paper cites Jadach and Z.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Jadach and Z

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.155955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.821432Z digest=sha256:90f075de84552ac7f270cd2eb48058b8feacea118300040a023f34970070f47f

Observation 92fa5642-c10c-43d4-b478-46fa6b2ae7b7 · outbound

This paper cites Mastrolia, M.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Mastrolia, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.138855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.826599Z digest=sha256:364f4c952ee7423548fbe63707134de3d5672aeb0d697ec60a2fc4747f3c9b2a

Observation bda095f1-7fb9-4458-b47b-ff2d90f59111 · outbound

This paper cites Di Vita, S.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Di Vita, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.120681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.831633Z digest=sha256:76982639d053f5fe30dbc68cbb83c5b6082d2aca05b3dc0ea070d4e02eba1ef2

Observation 1c0f491a-e96b-4c14-84d6-bdbb0ff40bfa · outbound

This paper cites Master integrals for two-loop $C$-odd contribution to $e^+e^-\to \ell^+\ell^-$ process.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Master integrals for two-loop $C$-odd contribution to $e^+e^-\to \ell^+\ell^-$ process

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T05:10:11.027406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.837253Z digest=sha256:fb820396c1e7a5600ebcd0cf4c882e5f9b4648fe07cb1ee93dbf5d2898376e5b

Observation 5a65f6d9-6b20-4bc6-8d5d-1b1189afd3c8 · outbound

This paper cites Bonciani, A.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Bonciani, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.101104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.844128Z digest=sha256:8bd96e52449e22e7b7818e0c96aa08dcf8a909e729f73be4264cb48f2c778487

Observation 3086892c-5f20-4016-81ec-2e4b2b9afc50 · outbound

This paper cites Master integrals for $e^{+}e^{-}\rightarrow2\gamma$ process at large energies and angles.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Master integrals for $e^{+}e^{-}\rightarrow2\gamma$ process at large energies and angles

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.850467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.850467Z digest=sha256:88321f1b1c8655a9cffe510536226902de7341158b8fa3aa1606900c5bbf5232

Observation fcfa462c-130e-4703-a698-4163a0bc9452 · outbound

This paper cites LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.855957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.855957Z digest=sha256:dad587ba5986dd0410d58f49b3b17ad41c66bf2e25dcdd64271cc724dc55f52c

Observation 3393a824-261c-450d-9ea6-e33469750eac · outbound

This paper cites LiteRed2, essential update ofLiteRed package.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass LiteRed2, essential update ofLiteRed package

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.082959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.861214Z digest=sha256:4bf8d906f37dfe6f18da536697dd554b09d345bc91e68c6e81e5c5b4e2a9bdab

Observation d7c1f8d0-b015-420c-938e-8ff00ef76518 · outbound

This paper cites Libra: a package for transformation of differential systems for multiloop integrals.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Libra: a package for transformation of differential systems for multiloop integrals

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.867246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.867246Z digest=sha256:50577cc540868171464902c54dd4de7171038770efa48023838a96ea9736b4ec

Observation e4ee15c4-913b-421e-9e0b-b11b1df27c90 · outbound

This paper cites Libra, package for transforming first-order linear differential systems.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Libra, package for transforming first-order linear differential systems

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.063425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.872976Z digest=sha256:2b7a9bd811917cfdd7f731f727d897c1b7654d1317adc59891e403e89ffc13cf

Observation 39949ffa-3def-4fbc-ae29-f7c5b7434525 · outbound

This paper cites Solving differential equations for Feynman integrals by expansions near singular points.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Solving differential equations for Feynman integrals by expansions near singular points

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.878675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.878675Z digest=sha256:63efabb9b06e53ee6adeb497f5d7475b04403caeb4db0482b43e27d275c8d64e

Observation b6f38c31-f8c0-4cf5-87cc-b9f90ffadf09 · outbound

This paper cites Computer Algebra System Fermat.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Computer Algebra System Fermat

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.045316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T05:10:10.884602Z digest=sha256:56792d798b7d1c3b0627e53affbb489e4d09056283728acb7fba56cfa201e713

Observation d2901e67-e227-40cb-b5be-164b29a666aa · outbound

This paper cites FIESTA5: numerical high-performance Feynman integral evaluation.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass FIESTA5: numerical high-performance Feynman integral evaluation

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.890522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.890522Z digest=sha256:f5f91340ae2e9c2e7d7e93c71977d641504134fa4d5d99f1ba55bdf6e4a6980b

Pith citing papers

Observation 1bb2ed1c-f7d6-41fa-8e33-fde27faadc73 · inbound

Radiative correction to the charge asymmetry in $e^{+}e^{-}\to\mu^{+}\mu^{-}$ process cites this paper.

Radiative correction to the charge asymmetry in $e^{+}e^{-}\to\mu^{+}\mu^{-}$ process Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-30T20:35:02.665395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T20:30:27.681708Z digest=sha256:0ebee830a86c1acbe1a78835c16ff1dc3be2055927d7d922d676c25c2a4baac6

Observation c1718659-6e0f-4e91-b2c1-4ee11442d28e · inbound

Analytic two-loop electroweak corrections at high energies cites this paper.

Analytic two-loop electroweak corrections at high energies Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-06-30T09:44:37.807111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T09:37:29.571085Z digest=sha256:745cdd8367e8bb93250fe5072e8797207762ad6fd1d8a5151d15f750e273d08e