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Paper Citation Record · LEDGER

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations

As of 15 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2507.22541.

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

pith.paper-citation-record.v1
2507.22541 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:41:41.798133Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

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

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  • verified fuzzy19
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a95bd6f2-bf52-4ad0-afae-cb07bf7f5274 · outbound

This paper cites Examples of weak hopf algebras arising from vacant double groupoids.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Examples of weak hopf algebras arising from vacant double groupoids

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.668618Z digest=sha256:8d7fb3000e29a85d5693470e44e733c27c22be9099715f6c64592943dcf68788

Observation 7d70040d-6073-4f53-aeb9-8871bb818c66 · outbound

This paper cites Bultinck, M.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Bultinck, M

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.674272Z digest=sha256:2e76a07cf1e75f940cdb85b73e23ec6c493b8f5bde68343eb3e618b1acc5e8ed

Observation 79b1e5c3-baa9-420d-99eb-8c0018bcfadb · outbound

This paper cites Gapped phases in (2+1)d with non-invertible symmetries: Part i, 2024.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Gapped phases in (2+1)d with non-invertible symmetries: Part i, 2024

Reference 3

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raw_fallback, observed 2026-08-06T11:41:42.249409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.679822Z digest=sha256:9bc2116da780564695676e7cbd10fb7eb10b0448006b7a97f123b1d968593f15

Observation ad5a219a-fc19-4fe0-97b1-1787485bc794 · outbound

This paper cites Weak Hopf Algebras II: Representation theory, dimensions and the Markov trace.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Weak Hopf Algebras II: Representation theory, dimensions and the Markov trace

Reference 4

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verified exact
local_arxiv, observed 2026-08-06T11:41:41.930121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.686207Z digest=sha256:a58748d8ba9dd8f228728f755e45dd96f8d69b0730235ba96735e20a205018a4

Observation 13b86b14-e72d-4760-ab82-a5b193f9c8eb · outbound

This paper cites Gapped phases in (2+1)d with non-invertible symmetries: Part ii, 2025.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Gapped phases in (2+1)d with non-invertible symmetries: Part ii, 2025

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-06T11:41:42.233695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.693174Z digest=sha256:ca6f2133d78e0ddaa775f90673d33d98206d9cdd9d17318cf1b7e19c93baa31f

Observation 325ff63a-a61b-45ad-872b-6b850faf6729 · outbound

This paper cites Drinfeld.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Drinfeld

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.698956Z digest=sha256:c55c146b5786e403a5521ffaa2f1c2a53a3a777035f3ca4bca2f689c8c7e3dd3

Observation 0fd2afbc-2931-4a18-a6a9-10de29e78bdd · outbound

This paper cites Higher categorical symmetries and gauging in two-dimensional spin systems.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Higher categorical symmetries and gauging in two-dimensional spin systems

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.705549Z digest=sha256:48bb01e6dcc00d9df87ea974007fad056a0d94e06d035b34e7daefac1cc171d1

Observation 78b5ffe2-d18c-4909-9d66-b7e2e2ca9330 · outbound

This paper cites A brief introduction to quantum groups, 2024.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations A brief introduction to quantum groups, 2024

Reference 8

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raw_fallback, observed 2026-08-06T11:41:42.183850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.712036Z digest=sha256:af9a3adfeaf03f8784fe1729028014d128149a6792fd116423b01dda320e6174

Observation 84b11287-5c80-4340-8e56-8b950995e140 · outbound

This paper cites Generalized global symmetries.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Generalized global symmetries

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.719380Z digest=sha256:07e82f6d65d325bfed9e3f559ecb2ac51a8ec5889e7e789d2478396b271190a1

Observation 2577b69e-d0e0-47ef-928a-72fabb40dd54 · outbound

This paper cites Quantum Groups in Two-Dimensional Physics.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Quantum Groups in Two-Dimensional Physics

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.724198Z digest=sha256:be636fde7b2ba061500a4a535af8fa9730dca447386c1c31f5972ae70efa5ce9

Observation 70a1ff07-8f00-40d3-96ce-62370acfe7c7 · outbound

This paper cites Classifying phases protected by matrix product operator symmetries using matrix product states.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Classifying phases protected by matrix product operator symmetries using matrix product states

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.730136Z digest=sha256:21fec47e950d8c3d978cc6c424e0f5728605cd5514064d9f55d3d1bb4fc09560

Observation cd121f39-45f7-47d3-9d9c-4583c821a747 · outbound

This paper cites On two-dimensional tensor network group symmetries, 2025.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations On two-dimensional tensor network group symmetries, 2025

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.735543Z digest=sha256:7f3e20eba2ede79d4182b86248bc4191936d5404d6fe27416a6d8d47f3bf13f9

Observation 7ade7b71-df3c-4b8a-a93b-39bee7aa1511 · outbound

This paper cites (2+1)d lattice models and tensor networks for gapped phases with categorical symmetry, 2025.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations (2+1)d lattice models and tensor networks for gapped phases with categorical symmetry, 2025

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.740073Z digest=sha256:f9a7f288843272a8fcfa7de964b94f727936895de0ecc61dfb906e2b2e54e794

Observation a9f04678-7ff3-4040-8609-afff3326150f · outbound

This paper cites Fusion surface models: 2+1d lattice models from fusion 2-categories.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Fusion surface models: 2+1d lattice models from fusion 2-categories

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.744609Z digest=sha256:a115591c2dbd057eb86c0e88a5eb04c160ade78af061234852be4d44428433f3

Observation b77351c0-c236-40d5-8625-e913a30172fb · outbound

This paper cites Ignacio Cirac, and David Pérez-García.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Ignacio Cirac, and David Pérez-García

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.749574Z digest=sha256:0f9543e0d9513b6b7c16c271c2cb83e1fb335c04ba7d624fead6379d93cbd7ca

Observation c3801142-46a5-4818-9107-de91700403b9 · outbound

This paper cites Yang-baxter equation, bethe ansatz, yangian, lax pairs, toda and calogero-moser systems.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Yang-baxter equation, bethe ansatz, yangian, lax pairs, toda and calogero-moser systems

Reference 16

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raw_fallback, observed 2026-08-06T11:41:42.039516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.755125Z digest=sha256:ee7d32dbf166c3bdb2879e36fda192930b996d69b288fb1614e2f098d21354b2

Observation c2643a31-cba4-4862-b132-8c008b1864ce · outbound

This paper cites A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

Reference 17

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no resolver link, observed 2026-08-06T11:41:41.762434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:41:41.762434Z digest=sha256:48b7f2464cb58e8673a7ed60b3dac0b66b9db56f30d920867eb1797949bd2599

Observation 707066ed-f74e-40e8-ad91-9834983f381f · outbound

This paper cites Solving the yang-baxter, tetrahedron and higher simplex equations using clifford algebras.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Solving the yang-baxter, tetrahedron and higher simplex equations using clifford algebras

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.768906Z digest=sha256:6298e4e8dd688530d4b5258d161cf5250e4ab4addefc4985687d6448df4b608c

Observation d4a92d71-806a-4839-b503-15b6520da2f7 · outbound

This paper cites Pasquier and H.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Pasquier and H

Reference 19

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.773406Z digest=sha256:fd44624adac5697f11a746906b9854c7349ef1b9e2570e4725717ba89d9b3188

Observation 5cb4b3fa-8a14-4bb0-9d63-eff0f53af450 · outbound

This paper cites Symmetry-protected topological phases beyond groups: The q -deformed affleck-kennedy-lieb-tasaki model.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Symmetry-protected topological phases beyond groups: The q -deformed affleck-kennedy-lieb-tasaki model

Reference 20

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.778793Z digest=sha256:b7de1584f8a2db4acabdecb3d223360bd0d45517eee6a90859270ab6f2de78b2

Observation 58dcefe7-e86b-4373-90fe-cd675f32286d · outbound

This paper cites Td1: Exact diagonalization of the s = 1/2 xxz spin chain.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Td1: Exact diagonalization of the s = 1/2 xxz spin chain

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.783741Z digest=sha256:bb15fb2f4a42f565de58845b11628581cfb478c8c521ee8c19a0047620399cc7

Observation bbcc5dea-8d4a-4e90-9fd7-b5002dd40eba · outbound

This paper cites Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Reference 22

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unresolved
no resolver link, observed 2026-08-06T11:41:41.788675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:41:41.788675Z digest=sha256:8d589d199f2b9a81530048f065e15d40a0dd67febe2105a3b1331d1bff7f9661

Observation 51c61d82-104b-4ab1-be3c-23d332df662f · outbound

This paper cites an unresolved cited work.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-06T11:41:41.793316Z digest=sha256:4bbbc4597cb034c4ae7b2da796063baa593dec4a2db4b114ccebb0fb0c26703f

Observation 3b9e6588-63cb-44b6-a8c9-daa6ea573a67 · outbound

This paper cites Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.

Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

Reference 24

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unresolved
no resolver link, observed 2026-08-06T11:41:41.798133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T11:41:41.798133Z digest=sha256:149c591a73d2d1631a8877821f769fc67e38def788f845733aba8ca4d07a6e1e

Pith citing papers

No inbound Pith citation observations are available.