Pith. sign in

Paper Citation Record · LEDGER

A solution to Banach's isometric conjecture

As of 15 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.13536.

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

pith.paper-citation-record.v1
2608.13536 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:12:54.763231Z

measured 21 of 21 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

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3dbb3d38-e47c-4f1e-9f48-e7c024974f93 · outbound

This paper cites Auerbach, S.

A solution to Banach's isometric conjecture Auerbach, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.116266Z

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=pdf_text observed=2026-08-14T05:12:54.663324Z digest=sha256:c197d3d1812331b686e4e8c4bf50769f78874c186d5ccf61f4951be85290ece8

Observation 2db45caf-18d9-48f2-9d7f-98d812c75e7b · outbound

This paper cites Atiyah, I.

A solution to Banach's isometric conjecture Atiyah, I

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.101031Z

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=pdf_text observed=2026-08-14T05:12:54.668744Z digest=sha256:bd7947cad47eb5644a1d3095cf7e1cd4ef4c2b558039d2f4da6f263a222f04ce

Observation 8893a65a-7797-4e0b-bba6-3a21b25b5048 · outbound

This paper cites Banach, Théorie des opérations linéaires, Monografie Matematyczne, vol.

A solution to Banach's isometric conjecture Banach, Théorie des opérations linéaires, Monografie Matematyczne, vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.085436Z

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=pdf_text observed=2026-08-14T05:12:54.674497Z digest=sha256:5c867205921e2fc62df5ac1020a2ce2e492507c3f01ef84f32e8980402b2706d

Observation f67f8607-416c-4be5-a251-e127d88f7aa1 · outbound

This paper cites Bhatia, Positive definite matrices, Princeton Series in Applied Mathematics, Princeton University Press, Princeton, NJ, 2007.

A solution to Banach's isometric conjecture Bhatia, Positive definite matrices, Princeton Series in Applied Mathematics, Princeton University Press, Princeton, NJ, 2007

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.070486Z

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=pdf_text observed=2026-08-14T05:12:54.679257Z digest=sha256:602f2a9af53b11d209e7103eba0a1e51a3374662eacc4ea16774dbece46ca28f

Observation ceaacd1a-81e9-4067-91fe-dfa59c69bfe1 · outbound

This paper cites Borel, F.

A solution to Banach's isometric conjecture Borel, F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.055019Z

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=pdf_text observed=2026-08-14T05:12:54.683949Z digest=sha256:bbe8c64a69d0eafcd47674a02fc6de10355b1ed411d01e1d213f8a329eea1225

Observation dbad1c3d-1fa7-41f1-9394-47159f98f5cb · outbound

This paper cites an unresolved cited work.

A solution to Banach's isometric conjecture Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:12:55.039732Z

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=pdf_text observed=2026-08-14T05:12:54.688919Z digest=sha256:d40f7c7dcc47de1c49b7b76b62d533761b3b1695c3f5d1e04decd757b4d28259

Observation d95a289c-9492-4a6a-9442-9b75b50b2437 · outbound

This paper cites Bracho, L.

A solution to Banach's isometric conjecture Bracho, L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.024786Z

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=pdf_text observed=2026-08-14T05:12:54.694793Z digest=sha256:5730c8ecfd2b3ac607963119d44a5bba7c34ff8ac2c7260471a79dfef0109eb6

Observation 15611e8d-d7e4-4bb4-b5ca-a145863c5efd · outbound

This paper cites Dummit, R.

A solution to Banach's isometric conjecture Dummit, R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:55.009047Z

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=pdf_text observed=2026-08-14T05:12:54.699517Z digest=sha256:26ded1745b563810e9b74a45bf7d9c48dc4f682437de50612e0363264c555673

Observation 32bfa876-9fd3-4d10-9396-cfb83f7c4ac2 · outbound

This paper cites Dvoretzky, A theorem on convex bodies and applications to Banach spaces, Proc.

A solution to Banach's isometric conjecture Dvoretzky, A theorem on convex bodies and applications to Banach spaces, Proc

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.993671Z

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=pdf_text observed=2026-08-14T05:12:54.704105Z digest=sha256:8f2ca3c3dbe166db34d8784da9bf9fea3b95d8ee681282526809304a25d4c20b

Observation c38ed811-e47b-4c21-87ae-46aa0567e3d2 · outbound

This paper cites Evans, R.

A solution to Banach's isometric conjecture Evans, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.978231Z

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=pdf_text observed=2026-08-14T05:12:54.709746Z digest=sha256:27ec88bb596093aa52d83b63b8663d11c256ca7f707a1ef7b4fdefbaea522fab

Observation 53c95ae8-7074-4551-b33e-0443cff15137 · outbound

This paper cites Fonseca, W.

A solution to Banach's isometric conjecture Fonseca, W

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.963312Z

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=pdf_text observed=2026-08-14T05:12:54.714478Z digest=sha256:b956f6f75427ae691cb7a474ccafcc7e5e9f8973d034dc3b9c8314c729e426c3

Observation f6a0d02e-66a8-4bfa-89fe-f29ec75a4e72 · outbound

This paper cites Gromov, A geometrical conjecture of Banach, Math.

A solution to Banach's isometric conjecture Gromov, A geometrical conjecture of Banach, Math

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.947444Z

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=pdf_text observed=2026-08-14T05:12:54.719753Z digest=sha256:706292cf893e74ef1a5c910c1ec20f37ae417beafee1cc49d2816c7f2f032ec9

Observation 2261658a-5041-418c-858a-956c84904fbb · outbound

This paper cites Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002.

A solution to Banach's isometric conjecture Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.931510Z

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=pdf_text observed=2026-08-14T05:12:54.724325Z digest=sha256:e613a16d64d77edf19ec088c2453360827d40dd65add71719ee15fcd5310be7b

Observation 876b459b-0643-475d-a213-1feb106375cc · outbound

This paper cites Husemoller, Fibre bundles, 3rd ed., Graduate Texts in Mathematics, vol.

A solution to Banach's isometric conjecture Husemoller, Fibre bundles, 3rd ed., Graduate Texts in Mathematics, vol

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.916021Z

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=pdf_text observed=2026-08-14T05:12:54.729139Z digest=sha256:741a15dd20c28482ea492be29bcafad0388f94856fd0c0ec3f1b9c5c82dba8d5

Observation c1eafc93-c04e-4d3b-b55a-3fd89567e5dc · outbound

This paper cites Ivanov, D.

A solution to Banach's isometric conjecture Ivanov, D

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.900412Z

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=pdf_text observed=2026-08-14T05:12:54.733881Z digest=sha256:eea35e7e62f662ad5bf5a5305f8398e51317e2ec5fd092db34d381f38303f2c1

Observation cc8d9f7f-8a29-41c7-a6a4-664d42e779e0 · outbound

This paper cites Jordan, J.

A solution to Banach's isometric conjecture Jordan, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.883266Z

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=pdf_text observed=2026-08-14T05:12:54.739355Z digest=sha256:16044d4a1bd82de6aaf66fec8e1cdb1fd1a9d0a1f0944e8a74986d16f27ba5aa

Observation 0f310931-b1bf-4043-a3ab-9fe75a530be7 · outbound

This paper cites Lee, Introduction to smooth manifolds, 2nd ed., Graduate Texts in Mathematics, vol.

A solution to Banach's isometric conjecture Lee, Introduction to smooth manifolds, 2nd ed., Graduate Texts in Mathematics, vol

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.866384Z

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=pdf_text observed=2026-08-14T05:12:54.744657Z digest=sha256:6f3802643cc091f7192d00c00bdd74627f2ff09fb21e2a6621da4827d660b359

Observation 36baed3d-dbbb-4599-a553-1b6789069111 · outbound

This paper cites Milman, A new proof of A.

A solution to Banach's isometric conjecture Milman, A new proof of A

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.850933Z

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=pdf_text observed=2026-08-14T05:12:54.749123Z digest=sha256:14dce2d0cf54a6db75d6fb9818dafa5fec4c6868de93485d83d7a13e51b37a40

Observation a03a2f37-244d-4e15-b0cc-0ec58c98e32f · outbound

This paper cites McShane, Extension of range of functions, Bull.

A solution to Banach's isometric conjecture McShane, Extension of range of functions, Bull

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.835267Z

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=pdf_text observed=2026-08-14T05:12:54.753696Z digest=sha256:acae6bdd6e9c11d837cf4c1629135ee47f3aa26e60390929c7d045a1a9a04449

Observation b7864a3b-278f-4001-a84c-674dd0bb2cef · outbound

This paper cites Rudin, Principles of mathematical analysis, 3rd ed., McGraw–Hill, New York, 1976.

A solution to Banach's isometric conjecture Rudin, Principles of mathematical analysis, 3rd ed., McGraw–Hill, New York, 1976

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.818592Z

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=pdf_text observed=2026-08-14T05:12:54.758466Z digest=sha256:aac4302e2dd03b938baddf5a61111efc889e07685f97a9aeb8b6fafd36ce0d68

Observation b6b00445-bf83-49d5-8eec-f7e0dcfbd68c · outbound

This paper cites Serre, Groupes d’homotopie et classes de groupes abéliens, Ann.

A solution to Banach's isometric conjecture Serre, Groupes d’homotopie et classes de groupes abéliens, Ann

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:12:54.800963Z

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=pdf_text observed=2026-08-14T05:12:54.763231Z digest=sha256:edccb3c6be282843a0de7086fade3c266c0308cf97b03e2978445b931a29ba60

Pith citing papers

No inbound Pith citation observations are available.