Pith. sign in

Paper Citation Record · LEDGER

Discrete quantum systems from topological field theory

As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.05131.

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

pith.paper-citation-record.v1
2506.05131 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:37:41.830260Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:13:22.275045Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6892e22f-1caa-45ac-9b81-1008da43b778 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:42.798346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.159649Z digest=sha256:6891ad4f2b66865dfca9d6adf53d61c8f5974c7148f91a43e3167ad08f9199c4

Observation 15eeecc3-3e52-47d7-bf21-66376bb56ec6 · outbound

This paper cites Topological Defects on the Lattice I: The Ising model.

Discrete quantum systems from topological field theory Topological Defects on the Lattice I: The Ising model

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.229594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.229594Z digest=sha256:a8f59872b8b102868f787a4d9ae2cb7a29e468735a820aca6f30e4c73db86bf0

Observation 4cf5c7b9-7ff1-4ad5-be75-3393b5fc68cc · outbound

This paper cites Blanchet, N.

Discrete quantum systems from topological field theory Blanchet, N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.753429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.374650Z digest=sha256:342e33d7d383dac78ec8c5071297ddf4b28bb2bfb9c98d6b796d855b55fcd6c1

Observation 45d871b0-3b24-48ba-bb18-7b44babf39a8 · outbound

This paper cites 5, Cambridge University Press, Cambridge, 1996.

Discrete quantum systems from topological field theory 5, Cambridge University Press, Cambridge, 1996

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.709360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.446074Z digest=sha256:3321db15682c1f94b02a7fab39adf8442288d85884d91691e2546728b64ce4c5

Observation d393564b-c0e3-4f7c-bfd5-77b44a2cf9b0 · outbound

This paper cites Non-Invertible Duality Defects in 3+1 Dimensions.

Discrete quantum systems from topological field theory Non-Invertible Duality Defects in 3+1 Dimensions

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.516884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.516884Z digest=sha256:d18dca4e5f12999f0cea45848bdacdf449830410fc3b058fd9c27e221d946b5c

Observation 961948b6-56e8-49b1-a617-c56792feaa59 · outbound

This paper cites thesis, University of Texas at Austin, 2011.

Discrete quantum systems from topological field theory thesis, University of Texas at Austin, 2011

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.674085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.639857Z digest=sha256:400ba5f075b01620d2cfba03fe83489247b37136734e8103a666ab476e86633f

Observation 9e3ed305-5d73-4f56-902b-075c235405ea · outbound

This paper cites On fusion categories.

Discrete quantum systems from topological field theory On fusion categories

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.741472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.741472Z digest=sha256:c72e6bd2fde7ada29537569e442af53b19772dbdb1f7d1f134938353e04f2b18

Observation bbbd1f02-f68f-4da3-8d7d-5f4a3789bad5 · outbound

This paper cites Freed, Quantum theory from a geometric viewpoint.

Discrete quantum systems from topological field theory Freed, Quantum theory from a geometric viewpoint

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.638646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:40.834703Z digest=sha256:f7302cf31044f1c361e82b7b336b34377ab80cc6f4a0837558258b991c90f4f7

Observation dbae4055-f58a-41f0-b7aa-f23e9d7f3144 · outbound

This paper cites Kramers-Wannier duality from conformal defects.

Discrete quantum systems from topological field theory Kramers-Wannier duality from conformal defects

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:40.937274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:40.937274Z digest=sha256:c99e402a3bb0dd64617cf14d1e05d133fd33ce66174d1846efec2e2f973076a9

Observation f0d17adf-c167-41a2-a621-d1dcc0f591b0 · outbound

This paper cites Topological symmetry in quantum field theory.

Discrete quantum systems from topological field theory Topological symmetry in quantum field theory

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.164561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.164561Z digest=sha256:13acc314d28f55829f546a3c9f6c05085a0f56211168f14425ce3a3d6eb314bc

Observation 357c9c2c-291b-45a6-aa48-88def6327e9d · outbound

This paper cites Topological dualities in the Ising model.

Discrete quantum systems from topological field theory Topological dualities in the Ising model

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.336377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.336377Z digest=sha256:9fc3f21100ae0675e6a21a20f07877d3d0f7da8610256859f2a700ad2eeb5200

Observation 43aae690-f9ae-4b45-8dd4-b927ae355733 · outbound

This paper cites Gapped boundary theories in three dimensions.

Discrete quantum systems from topological field theory Gapped boundary theories in three dimensions

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.447063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.447063Z digest=sha256:54b0ab4727022af46c19413cf6f2e14d9354526be24d6526eacd0680952acd10

Observation ad463acf-6baf-4388-9739-455e2d1b33bb · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:42.604650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.543957Z digest=sha256:c1afdb67fb8e04b4e8f0c53b19cd1249dd4b14bd86bf901738e933f2080c1f95

Observation f85656c5-1f67-46d6-b161-fe10c3072079 · outbound

This paper cites Fault-tolerant quantum computation by anyons.

Discrete quantum systems from topological field theory Fault-tolerant quantum computation by anyons

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.688900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.688900Z digest=sha256:17981126a5e0d36028d4e721961d13a27792c2e551d96a0043f6bc5daf2458eb

Observation a02918e1-2b44-446b-ae6e-2fca89bb9f1f · outbound

This paper cites Models for gapped boundaries and domain walls.

Discrete quantum systems from topological field theory Models for gapped boundaries and domain walls

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.746230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.746230Z digest=sha256:444bdf43bb418b803df0d235760415a7c1eff7c48ca28262cc599f7c82a5d15e

Observation 42b3c5df-0bd1-4cc9-930a-c53da6989ec8 · outbound

This paper cites Kramers-Wannier-like duality defects in (3+1)d gauge theories.

Discrete quantum systems from topological field theory Kramers-Wannier-like duality defects in (3+1)d gauge theories

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.757326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.757326Z digest=sha256:8d318a02260bb9a4398dc31f0b1c03e5b9723cdf3bc956f496e333408ba68bf9

Observation 9bd90c4b-04da-459e-9f20-f61fdbf69d22 · outbound

This paper cites Wick rotation and the positivity of energy in quantum field theory.

Discrete quantum systems from topological field theory Wick rotation and the positivity of energy in quantum field theory

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.775639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.775639Z digest=sha256:0117704b0b2b7ab43e2fe2262874f1b4b667c5b56cb17c0c16d5a2b057fe5894

Observation 2f892909-1701-4f31-bcdd-878ba870b13c · outbound

This paper cites String-net condensation: A physical mechanism for topological phases.

Discrete quantum systems from topological field theory String-net condensation: A physical mechanism for topological phases

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.785171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.785171Z digest=sha256:8a584929f1c8a01697a4480c531b2aa743612ca8fe8cbf5779518fc0547cd373

Observation 7f09e81a-6357-44f8-9b4e-419826dc5af5 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:37:42.570530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.796339Z digest=sha256:fa5310bb053074c4e48eff1faa2297a0d86d2f534bc90fae7025408814ea492e

Observation 7cb162ee-f6b4-42bc-8ee6-40c9dd9d4cce · outbound

This paper cites Reshetikhin and V.

Discrete quantum systems from topological field theory Reshetikhin and V

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.537547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.803573Z digest=sha256:664e69487de2fb05acc39cc572a09f29f333d9be7ef60a8787ec5f1b261b7c88

Observation 1894d92f-8e9e-4863-8fa8-e0e83eacb2c0 · outbound

This paper cites https://online.kitp.ucsb.edu/online/strings05/segal/rm/jwvideo.html.

Discrete quantum systems from topological field theory https://online.kitp.ucsb.edu/online/strings05/segal/rm/jwvideo.html

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:37:42.488465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.809192Z digest=sha256:72a79c000272c6725dab2b49f336d4dcc7abda316ac718e8a66acd3ced82e089

Observation 17523d8b-9468-42f5-8302-7d149eed36e8 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.816042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.816042Z digest=sha256:9da4ad755401e85e564f25b8bec126ead79f0fc3508d12467faf4bd26057731a

Observation 6735dda3-089d-4570-aac5-f7d616add5b2 · outbound

This paper cites an unresolved cited work.

Discrete quantum systems from topological field theory Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T10:37:41.824745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:37:41.824745Z digest=sha256:139accb51cac903642eac9575aa0c16de7b42f7e91da9594273ec7a1b6240f54

Observation 35eac7ad-5823-43e2-96ab-e1c275b94bf6 · outbound

This paper cites Volume-Dependent Field Theories.

Discrete quantum systems from topological field theory Volume-Dependent Field Theories

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:37:41.960152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-07T10:37:41.830260Z digest=sha256:26062915523bec2bb961f520dc7eb27d0202df807341c2d6f754fec217f6b44a

Pith citing papers

Observation bcff32ab-a7e4-4d15-b59f-b1f3aa6c538b · inbound

Cobordism of nested manifolds cites this paper.

Cobordism of nested manifolds Discrete quantum systems from topological field theory

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T15:13:22.275045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T15:13:22.275045Z digest=sha256:21f6c9bd48b70d13ae302b07fe6168fad0384c5c4b78a6ca0de75b301a6729fc