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Paper Citation Record · LEDGER

A complete theory of the Clifford commutant

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 19 inbound Pith citation observations for arXiv:2504.12263.

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

pith.paper-citation-record.v1
2504.12263 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 19 of 19 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:43:13.316511Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T23:37:44.970341Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 6a88e167-b35b-4f88-ad4c-c4b07cd07917 · inbound

Non-Clifford Cost of Random Unitaries cites this paper.

Non-Clifford Cost of Random Unitaries A complete theory of the Clifford commutant

Reference 75

Resolution
verified exact
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-22T15:14:40.589614Z digest=sha256:93dc0c279f2568c16da4356c0e3ccefb684532807617dcc22e31a22b8a42c56e

Observation ae23dcd2-967e-458d-a83a-27a5c476416d · inbound

Nonstabilizerness and Error Resilience in Noisy Quantum Circuits cites this paper.

Nonstabilizerness and Error Resilience in Noisy Quantum Circuits A complete theory of the Clifford commutant

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T07:39:11.233409Z digest=sha256:2abc8a6033c718fb1487196fa70f0f7fcb2ba483889e5d369b7c9177a9ac9f75

Observation 815d4a2d-e5d4-4843-8364-58800a4efbb4 · inbound

Operational interpretation of the Stabilizer Entropy cites this paper.

Operational interpretation of the Stabilizer Entropy A complete theory of the Clifford commutant

Reference 53

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-19T02:16:57.292791Z digest=sha256:b22557a2b7a44780659963c33df9cac5970ff34b2d276e87a424eb7e5c9eca3b

Observation 6b1dab39-9fe3-4839-8776-e3a366c43df3 · inbound

Demonstrating an unconditional separation between quantum and classical information resources cites this paper.

Demonstrating an unconditional separation between quantum and classical information resources A complete theory of the Clifford commutant

Reference 70

Resolution
verified exact
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-18T17:30:33.204003Z digest=sha256:f930a012b087134d398e3642b3bdeedd420b9e9da6e1efc898c4c8daecbd626d

Observation 08b6a62e-88e8-4a7c-aecd-21d454b15b4c · inbound

Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks cites this paper.

Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks A complete theory of the Clifford commutant

Reference 119

Resolution
unresolved
no resolver link, observed 2026-08-03T15:59:45.416869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T15:59:45.416869Z digest=sha256:15f6dfa122e066f7145b553c6b8ef9d472758f32da7939b52ec154887ff243b8

Observation 7b6a3e65-2df1-4fc1-8543-23238237f7ec · inbound

Geometry of Free Fermion Commutants cites this paper.

Geometry of Free Fermion Commutants A complete theory of the Clifford commutant

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T20:03:07.484346Z digest=sha256:1bc0695d04146ce9b852af268ab86d010a7fb694628db31f8d930c5653060856

Observation ba9afc9d-0c3e-42f1-a8f6-2762845097d3 · inbound

Taming Trotter Errors with Quantum Resources cites this paper.

Taming Trotter Errors with Quantum Resources A complete theory of the Clifford commutant

Reference 73

Resolution
verified exact
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T13:21:47.755945Z digest=sha256:f24b40aecb3e87ae8c157497c189bbdb4364123f343c1b04f295fbf04f140924

Observation 35c62276-5916-4d28-a12e-cc61b1bc1ffe · inbound

Taming Trotter Errors with Quantum Resources cites this paper.

Taming Trotter Errors with Quantum Resources A complete theory of the Clifford commutant

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-04T05:43:13.316511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:43:13.316511Z digest=sha256:6a6a58e4ebc3b6908f151ba1f1658556737ee32ffcead50a1806edf9ddee292e

Observation cd471175-f267-4043-86a9-bd159e1dbc38 · inbound

Cloning is as Hard as Learning for Stabilizer States cites this paper.

Cloning is as Hard as Learning for Stabilizer States A complete theory of the Clifford commutant

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T11:25:59.093028Z digest=sha256:942d5925b31ed6ef4c646f1cf87cf3804205234d2da06df9a1122fc417eda89b

Observation b1570065-20a6-4b3f-8999-cb23c339ec1d · inbound

Coherent-State Propagation: A Computational Framework for Simulating Bosonic Quantum Systems cites this paper.

Coherent-State Propagation: A Computational Framework for Simulating Bosonic Quantum Systems A complete theory of the Clifford commutant

Reference 37

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-05-10T03:27:13.224597Z digest=sha256:4db405b1695a7d63101b87f68da4de0cf4c4efcc6b7965564b89865936afe8f3

Observation 952cfb6a-f04c-43bb-be15-7f81aeee2979 · inbound

Lecture Notes on Replica Tensor Networks for Random Quantum Circuits cites this paper.

Lecture Notes on Replica Tensor Networks for Random Quantum Circuits A complete theory of the Clifford commutant

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-05-13T02:45:26.132782Z digest=sha256:0c141602822542809e06e686dfb5e0ab90ed18f2ec7418ad9cb7771a4880f6a8

Observation 1491d0e0-3696-49e5-80cc-da02aea58dbd · inbound

From Pauli Strings to Quantum Dynamics: A Unified Characterization cites this paper.

From Pauli Strings to Quantum Dynamics: A Unified Characterization A complete theory of the Clifford commutant

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-07-03T01:37:31.145603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-27T16:24:42.160089Z digest=sha256:a12df05c0a6f0bdf8e50d22df03116714caf37ea886087ae84d914395be232cf

Observation 71a7bdc9-430d-4f3d-817d-cb37682bbd75 · inbound

Stabilizer entropy is trustworthy for mixed states cites this paper.

Stabilizer entropy is trustworthy for mixed states A complete theory of the Clifford commutant

Reference 43

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T02:17:15.712581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-06-30T07:38:07.504183Z digest=sha256:c6b64dbc9f70b22926220fb7dbf88468a703e201e771ed69c8cb9b0c977091e6

Observation 895fe4e6-4feb-4509-9d40-35d1f55a9d27 · inbound

Stabilizer entropy is trustworthy for mixed states cites this paper.

Stabilizer entropy is trustworthy for mixed states A complete theory of the Clifford commutant

Reference 43

Resolution
metadata mismatch
local_arxiv, observed 2026-07-02T20:47:22.402578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-02T20:43:01.661812Z digest=sha256:7f7ba02aa072f3de50dda071679dde90627511ff37dd5693c577718dfef41072

Observation 8656fc2c-cbe1-4b48-9b04-ba64ecda30ee · inbound

Stabilizer entropy is trustworthy for mixed states cites this paper.

Stabilizer entropy is trustworthy for mixed states A complete theory of the Clifford commutant

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-02T09:50:41.042355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T09:50:41.042355Z digest=sha256:8b4ebcce88d54e3dbad0df49423d02c89adea25a8047299914458fcc7b2a1bd6

Observation d917465f-be2e-437a-b60f-458866893d11 · inbound

Optimal Stabilizer Testing and Learning with Limited Quantum Memory cites this paper.

Optimal Stabilizer Testing and Learning with Limited Quantum Memory A complete theory of the Clifford commutant

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T11:48:04.438342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-03T11:41:24.534651Z digest=sha256:50e7e52f2c2a9878c707f3d76cae501ce9f90ce93915b48ce3433e47806ba3f5

Observation 90ef41e5-033b-4b9d-b908-05f11957deba · inbound

Universal purification dynamics of monitored Clifford circuits cites this paper.

Universal purification dynamics of monitored Clifford circuits A complete theory of the Clifford commutant

Reference 70

Resolution
verified exact
local_arxiv, observed 2026-07-10T23:37:44.984664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-10T23:28:34.264952Z digest=sha256:5c0903e3b9f4163ff505e469664b9385bb9345b028db50a05af9823bf89b456b

Observation cc48b480-37ff-4c4f-b9c0-9426f0cb3b92 · inbound

A Nonstabilizerness Resource Law for Universal Quantum State Purification cites this paper.

A Nonstabilizerness Resource Law for Universal Quantum State Purification A complete theory of the Clifford commutant

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:46:46.572779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-10T04:40:01.796681Z digest=sha256:99b06c7dbab7856ed02fae7925390a8d80831acd39c3c8b5154b4ba715493233

Observation 86bbfca6-28eb-4ef2-b6ed-6a9071ffa42a · inbound

State $k$-designs from Hamiltonian evolution cites this paper.

State $k$-designs from Hamiltonian evolution A complete theory of the Clifford commutant

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-01T15:18:49.403030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:18:49.403030Z digest=sha256:340db3d5de74efd3a97f259441fef50d0b1844f0fa82b6c4152eec889e5a749c