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Paper Citation Record · LEDGER

Structure of ind-pro completions of Noetherian rings

As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2601.12016.

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

pith.paper-citation-record.v1
2601.12016 v3

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:19:54.398664Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4357e411-7a6c-49bd-a65c-1f778e240f20 · outbound

This paper cites Embeddings and intersections of adelic groups.

Structure of ind-pro completions of Noetherian rings Embeddings and intersections of adelic groups

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.244875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.244875Z digest=sha256:ec8b2e3d48125aa2967a690d223e6448f349880c106c2fa547b85a2b6bde02c4

Observation a671b85d-8913-48b7-8773-947048cf723f · outbound

This paper cites Beilinson, Residues and adeles, Functional Analysis and Its Applications, 14 (1980), 34--35.

Structure of ind-pro completions of Noetherian rings Beilinson, Residues and adeles, Functional Analysis and Its Applications, 14 (1980), 34--35

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.284120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.284120Z digest=sha256:38d6c57ed1f1b7d0eb428a281712b840ef96300c8c723c27170c029308fbc1ef

Observation eb69119b-7cba-48eb-a8d0-3f3c9eb25357 · outbound

This paper cites Bourbaki, Commutative Algebra , Hermann, Paris, 1972.

Structure of ind-pro completions of Noetherian rings Bourbaki, Commutative Algebra , Hermann, Paris, 1972

Reference 3

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unresolved
no resolver link, observed 2026-08-03T10:19:53.341112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.341112Z digest=sha256:eecc48463a8cf97d1e879e960e9e531cfdd3898e5289f67494dddc8ac93c9e24

Observation 96a9db70-0d3c-4672-902e-be5bf75cc1dc · outbound

This paper cites an unresolved cited work.

Structure of ind-pro completions of Noetherian rings Unresolved cited work

Reference 4

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no resolver link, observed 2026-08-03T10:19:53.480663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.480663Z digest=sha256:d8564c3b2f6748f9bd820734fe43e02eb5e6bf30abf935a2c63d3c9784eb1964

Observation e58b3e85-1842-4711-9b7b-0d064e660d24 · outbound

This paper cites Greco, P.

Structure of ind-pro completions of Noetherian rings Greco, P

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.597499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.597499Z digest=sha256:344073123a5ac59c49761ee6162cce2d0fd39695098a250fc8ce4896f5d4c747

Observation 41cbb92c-9d91-4d37-9bfe-cafa6916f0c9 · outbound

This paper cites Huber, On the Parshin--Beilinson adeles for schemes, Abh.

Structure of ind-pro completions of Noetherian rings Huber, On the Parshin--Beilinson adeles for schemes, Abh

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.673999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.673999Z digest=sha256:97b2b5b1c2aa02775b3d8f9ba573a82bf83d4ccee24d1c8211706285d0f70dde

Observation f77bc290-d0fb-4cf4-b8d0-2669114b2d90 · outbound

This paper cites Kurano, K.

Structure of ind-pro completions of Noetherian rings Kurano, K

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.755810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.755810Z digest=sha256:3b72cecbf151feaf95c9f0db2abc4c3a2f754a80048c45ee901d8ac0a34dd23e

Observation cd970dd9-b42f-4325-adff-9e850a1fc163 · outbound

This paper cites Matsumura, Commutative algebra, W.A.

Structure of ind-pro completions of Noetherian rings Matsumura, Commutative algebra, W.A

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.818965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.818965Z digest=sha256:c900d9bc6e5726088596ce2594a673a2771a022e8b7d4938ebdd8c05754429b0

Observation e55d9d59-6b39-4291-86da-f32c20795a9a · outbound

This paper cites Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, Cambridge Univ.

Structure of ind-pro completions of Noetherian rings Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics, Cambridge Univ

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.860892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.860892Z digest=sha256:3f5535b5074f2c7d87456aff581c9835db214dcb6c0de2c4213b36bfe829c84e

Observation 56c18cc9-1bca-4fc0-8011-d877acb79547 · outbound

This paper cites Matsumura, On the Dimension of Formal Fibres of a Local Ring, Algebraic Geometry and Commutative Algebra, In Honor of Masayoshi Nagata, 1 (1988), 261--266.

Structure of ind-pro completions of Noetherian rings Matsumura, On the Dimension of Formal Fibres of a Local Ring, Algebraic Geometry and Commutative Algebra, In Honor of Masayoshi Nagata, 1 (1988), 261--266

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:53.919711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:53.919711Z digest=sha256:212faafbcea2e14106bcff94ba1f26afb8887f76a83e505f5f71caca112108e8

Observation 3ce9f77e-4ade-4ab8-ab38-29301be8390c · outbound

This paper cites An introduction to higher dimensional local fields and adeles.

Structure of ind-pro completions of Noetherian rings An introduction to higher dimensional local fields and adeles

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:54.079851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:54.079851Z digest=sha256:6116c28bae4b8d76862c95e7dedfd7df587bd398ee9187e21d281dfeb9153aa4

Observation e2fecc3a-7325-4c8e-9967-d93f1a9d84f4 · outbound

This paper cites Osipov, n-dimensional local fields and adeles on n-dimensional schemes, Surveys in contemporary mathematics, London Math.

Structure of ind-pro completions of Noetherian rings Osipov, n-dimensional local fields and adeles on n-dimensional schemes, Surveys in contemporary mathematics, London Math

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:54.145387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:54.145387Z digest=sha256:e0d310d4215d18203c9a674ba3a07022be2a2d46e520d69d60ff42ebde0c35c6

Observation fbe55ea4-728e-4171-a174-d08d1a40edaa · outbound

This paper cites Parshin, On the arithmetic of two-dimensional schemes I.

Structure of ind-pro completions of Noetherian rings Parshin, On the arithmetic of two-dimensional schemes I

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:54.211087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:54.211087Z digest=sha256:b1dca0dd0fbdec769ca31fd5177c599fa777ee4b94c3facc0b3c596ae233aa87

Observation 0b90f7ed-4e03-445d-9789-3ab4d8fad834 · outbound

This paper cites an unresolved cited work.

Structure of ind-pro completions of Noetherian rings Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:54.252982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:54.252982Z digest=sha256:937a763bed94309885513c82a77614d55caf6873ada77f4c5f21db4e1abf2444

Observation 579b8db8-0b73-465d-bbc7-268bf362fc30 · outbound

This paper cites an unresolved cited work.

Structure of ind-pro completions of Noetherian rings Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:54.314867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:54.314867Z digest=sha256:b79b0a74ef36a5bcb5d3f4d7012b983ff538823c159c91a0e43eb42b1c8faef2

Observation 404aac3c-66ed-4a84-a2ec-8d741b3d1580 · outbound

This paper cites Yekutieli, An Explicit Construction of the Grothendieck Residue Complex, Ast\'erisque, 208 (1992).

Structure of ind-pro completions of Noetherian rings Yekutieli, An Explicit Construction of the Grothendieck Residue Complex, Ast\'erisque, 208 (1992)

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T10:19:54.398664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T10:19:54.398664Z digest=sha256:894b00134e73f7e81e381f573c11432e2dcb5ea6dcbd9dae91b0c4fc3e1066ec

Pith citing papers

No inbound Pith citation observations are available.