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Paper Citation Record · LEDGER

Geometric phase and holonomy in the space of 2-by-2 symmetric operators

As of 12 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 2 inbound Pith citation observations for arXiv:2411.15038.

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

pith.paper-citation-record.v1
2411.15038 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:44:55.984167Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T03:24:17.708814Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

5
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 8121af0c-0b17-4537-9da1-8b258ac7b2bd · outbound

This paper cites Barreiro, Dmitry Abanin, Takuya Kitagawa, Eugene Demler, and Immanuel Bloch.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Barreiro, Dmitry Abanin, Takuya Kitagawa, Eugene Demler, and Immanuel Bloch

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.174139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.936642Z digest=sha256:245baf98711be0f488abf74d3723f001b927cead62d00a1faf653ffbf46f954d

Observation 7ab5055d-8829-4134-8b2f-5700ce8e42e7 · outbound

This paper cites Zirnbauer.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Zirnbauer

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T14:44:55.941740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T14:44:55.941740Z digest=sha256:c33d39de0d2ea0a65ac42fd19c5567ae84eb2f8012871b4b4f75bc2765157284

Observation 5fa46c5e-e8bc-475a-99a7-b4975e60755c · outbound

This paper cites an unresolved cited work.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:44:56.148188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.946476Z digest=sha256:290d355fc8dae1c4eefd6701be293f4a842d30a52401872444a760170cce771c

Observation ec939172-2c1e-4a51-a4d3-f59cd8ae3373 · outbound

This paper cites an unresolved cited work.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:44:56.132156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.951281Z digest=sha256:6e636c83c7139ef3d275671316cb0b1c96fbdba026323bd1788a6df9baa44345

Observation de1a624e-8c26-430e-b878-fceda594282f · outbound

This paper cites Perturbation Theory for Linear Operators.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Perturbation Theory for Linear Operators

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.116205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.956055Z digest=sha256:9aafa4c895f137d19e4bdccab2cd929cd6861902177b785994fe2a62dd018838

Observation 02b91348-f0d3-4cb7-9c78-4f260dbf66b3 · outbound

This paper cites Periodic table for topological insulators and superconductors.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Periodic table for topological insulators and superconductors

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.099753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.961050Z digest=sha256:919d42a195e957d0b098b772843eeaad51be6b569427d1f4a54b15dd85a29745

Observation 8f9b6011-0dc2-488e-829f-63c58b99e992 · outbound

This paper cites General relativity without coordinates.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators General relativity without coordinates

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.082535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.966416Z digest=sha256:d711e54c7d8e7ad2c0671d9834062705c33811337b9a74fc74fe55ca61bfd991

Observation a13f0af3-e5d2-49aa-9048-e8be563367f7 · outbound

This paper cites Topological insulators and superconductors: tenfold way and dimensional hierarchy.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Topological insulators and superconductors: tenfold way and dimensional hierarchy

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.067249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.971094Z digest=sha256:41075feb4f62fec5b29eceb2a951500c5495b6d3d846161aa094546e391a5c1c

Observation 9fbe3347-b64a-4483-8c08-c66bc23d0078 · outbound

This paper cites an unresolved cited work.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:44:56.051187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.975653Z digest=sha256:76ddb06c5f1c230c6ef471d00aa92d5eb62d6a73750dbc3bea6cb0906fe6a6d0

Observation bc06d8a0-3aaa-43c3-a2ee-c17cb50a0da7 · outbound

This paper cites Non-integer valued winding numbers and a generalized residue theorem.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Non-integer valued winding numbers and a generalized residue theorem

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.036130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.979954Z digest=sha256:96343e51b2593864a1c8bbd1856694fb8d188e1d531105b556862014dadf03a8

Observation 64fdd373-e878-4c3a-83e6-c31aa380d7fc · outbound

This paper cites Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-hermitian systems.

Geometric phase and holonomy in the space of 2-by-2 symmetric operators Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-hermitian systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:44:56.020868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T14:44:55.984167Z digest=sha256:53cfc382c03166a51e0a0e542253e956f2d99fab29c428665b5bf58d01e4b7bc

Pith citing papers

Observation 883709a9-2e61-4ae3-9b21-b10f4cf9074c · inbound

Singular geometry and eigenframe topology in local rank-2 tensor observables cites this paper.

Singular geometry and eigenframe topology in local rank-2 tensor observables Geometric phase and holonomy in the space of 2-by-2 symmetric operators

Reference 40

Resolution
metadata mismatch
local_arxiv, observed 2026-08-01T01:01:59.661501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-01T00:56:46.013343Z digest=sha256:f0c53ddcdd24ed2d7de7e0f56da2f7b40ca99de8bf478b4fe85f6be1dba424b0

Observation 41602b6d-f317-4aa5-b292-ecd67d0f808d · inbound

Singular geometry and eigenframe topology in local rank-2 tensor observables cites this paper.

Singular geometry and eigenframe topology in local rank-2 tensor observables Geometric phase and holonomy in the space of 2-by-2 symmetric operators

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-04T03:24:17.708814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T03:24:17.708814Z digest=sha256:79649446d31e68aa3c1e5c6440e19288aa3701bd92a42507d6dae78d9b33185e