Pith. sign in

Paper Citation Record · LEDGER

A short proof of the existence of the injective envelope of an operator space

As of 15 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2507.10931.

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

pith.paper-citation-record.v1
2507.10931 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:33:51.964747Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

28 of 28 outbound references displayed

  • verified exact11
  • verified fuzzy11
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3d6e7315-3a7a-4070-8099-abce424f432c · outbound

This paper cites Argyros and Stevo Todorcevic,Ramsey methods in analysis, Advanced Courses in Math- ematics.

A short proof of the existence of the injective envelope of an operator space Argyros and Stevo Todorcevic,Ramsey methods in analysis, Advanced Courses in Math- ematics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.715781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:47.673272Z digest=sha256:1b1dc3bf137a79d720025e5d98ebcb91f37d99945a3d94bae4885b8b6ec15396

Observation a66a4eb6-b8bc-4657-84b2-7165d1bed051 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-06T17:33:54.882613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:47.853952Z digest=sha256:ba8cf0726fa9d09993d148d904fb26493ef0adfa0c61528121e0e215f77b7c27

Observation 965469a3-582e-488b-a971-75a5b6b9ea6c · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 3

Resolution
verified exact
doi, observed 2026-08-06T17:33:54.680128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:48.082051Z digest=sha256:ab5cc79e2a88b14abdee282b2c534ef25267869025167f77941d686f6e6536b6

Observation 8d9e586a-0ece-4714-9a20-d220188f4906 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T17:33:55.709102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:48.214903Z digest=sha256:85fda8c9972c6b32a24c9481560e1b6dc62bf09e158163e614e1f899e95af96d

Observation def2f747-9e7d-45f8-8d90-8d95638f23d2 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-06T17:33:54.470004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:48.407150Z digest=sha256:f6a606cc5b52d3cec5884c91c28ca02064525f5e4df282a32c0584ddc293aff7

Observation e5ca0b6f-0e57-4e2c-9084-9c82db505ca0 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-06T17:33:54.206714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:48.566565Z digest=sha256:9055afa87e27059ca36580b15ef1009e94c85690ea319e6984a80fdda2c3ecfc

Observation 39fa4e7e-19a7-40c1-acd6-8fd2f68a7e1f · outbound

This paper cites Conway,A course in functional analysis, 2nd ed., Graduate Texts in Mathematics, vol.

A short proof of the existence of the injective envelope of an operator space Conway,A course in functional analysis, 2nd ed., Graduate Texts in Mathematics, vol

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.702528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:48.784782Z digest=sha256:6ddf97c11e436550da8cab9aaa9e0551d9d14249c16b93308a007dde68c714da

Observation f7fa850d-ea88-4a8b-84a3-be9869620123 · outbound

This paper cites Math.158 (2022), no.

A short proof of the existence of the injective envelope of an operator space Math.158 (2022), no

Reference 8

Resolution
verified exact
doi, observed 2026-08-06T17:33:53.978816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:48.953000Z digest=sha256:2681ffebac111f3e83501dd57fde47a00ce0ccaa0d33c2b605f11b6cd5d41c3b

Observation 4e53facb-66fe-4d1b-85ab-77a4c0211d60 · outbound

This paper cites 2239, Springer, Cham, 2019.

A short proof of the existence of the injective envelope of an operator space 2239, Springer, Cham, 2019

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.695821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:49.081787Z digest=sha256:54fb75c7e934c72ce67f88b8f6b3ce91ad4f436760ee7cc5724dc89a4fbbf3df

Observation 86763abc-dbd0-4638-b6bc-6bd5ba671ac9 · outbound

This paper cites Math.8 (1958), 401–405.

A short proof of the existence of the injective envelope of an operator space Math.8 (1958), 401–405

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.688656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:49.314136Z digest=sha256:2dde5e231336befb2925252a076e8c519f8d06a880ceb6707b23486b235184e8

Observation 43d3b0ec-2cba-4dae-8711-0984952bf94a · outbound

This paper cites Furstenberg and Y.

A short proof of the existence of the injective envelope of an operator space Furstenberg and Y

Reference 11

Resolution
verified exact
doi, observed 2026-08-06T17:33:53.839280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:49.446906Z digest=sha256:44b33ae3ef23bf5778ea89d40d6ae34c36338f0e0526135488bad556dc4d5e8c

Observation a10669a8-30a3-4664-9205-ddf8a5380221 · outbound

This paper cites 101, American Mathematical Society, Providence, RI, 2003.

A short proof of the existence of the injective envelope of an operator space 101, American Mathematical Society, Providence, RI, 2003

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.681682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:49.561630Z digest=sha256:d1bb24e3bb83d541af4a9f996d106ff1d09aada7cc2fc24de2506f8495cb2413

Observation 1a50fb6e-a38c-4205-82ac-6a426333cfd5 · outbound

This paper cites Paulsen,Injectivity and projectivity in analysis and topology, Sci.

A short proof of the existence of the injective envelope of an operator space Paulsen,Injectivity and projectivity in analysis and topology, Sci

Reference 13

Resolution
verified exact
doi, observed 2026-08-06T17:33:53.633864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:49.703030Z digest=sha256:469e283bfef42d276dfd203b78b90cf6de2098e79152223c4877b9cb0e01e3ca

Observation d0271525-1969-431e-8c2c-f0858bdbc032 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T17:33:49.860106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:33:49.860106Z digest=sha256:b3e86db70b0915008fd6fb855353644d425242e2e84e65197d7cbbcea4973429

Observation 5e365973-3dfb-4fb8-817d-118f1980f4b9 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T17:33:49.960956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:33:49.960956Z digest=sha256:9a7b016312f11493a127fc65ce4f6e239c8ac0b1179f23f693eefc2f53faaa88

Observation fbc192c9-2733-41a3-9c54-a6d033694736 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T17:33:50.183712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:33:50.183712Z digest=sha256:ea8b57b7e20321b3450dc38aa5132e15e12cebd83878542be5ab6152ade052ad

Observation a91dcd41-9191-45e0-97f7-c8db4ac3bdde · outbound

This paper cites J.34 (2011), 23–86.

A short proof of the existence of the injective envelope of an operator space J.34 (2011), 23–86

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.674988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:50.396050Z digest=sha256:aaef4bae2130b33add8595159c1c122e1a529be68565dcfa6b24d245323665d9

Observation 507f4c1b-8ae3-4d58-b626-280488399576 · outbound

This paper cites Theory and applications.

A short proof of the existence of the injective envelope of an operator space Theory and applications

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.668100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:50.561995Z digest=sha256:0dee7fe21b5cc0fb82e960189002206ebcfff4e31d958a22326f2d89a1d904cb

Observation 9a7f1316-57e9-44ee-909d-23aa52095c96 · outbound

This paper cites Operator Theory68 (2012), no.

A short proof of the existence of the injective envelope of an operator space Operator Theory68 (2012), no

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.658861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:50.721156Z digest=sha256:5371c3421d13da9675fe4954b5ddd019aa2cedb47d48a5d21980e7076713bfdc

Observation 474a4e9a-c9a4-428f-acb1-5e7d7c103340 · outbound

This paper cites Reine Angew.

A short proof of the existence of the injective envelope of an operator space Reine Angew

Reference 20

Resolution
verified exact
doi, observed 2026-08-06T17:33:53.407088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:50.855168Z digest=sha256:1df3d465c8644808e4723463987748237dde6287a0a286cd7231aa4f0ff104f0

Observation c8a05175-273d-4432-bfe9-6e5c0d99a2a3 · outbound

This paper cites The ideal intersection property for essential groupoid C*-algebras.

A short proof of the existence of the injective envelope of an operator space The ideal intersection property for essential groupoid C*-algebras

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T17:33:50.971326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:33:50.971326Z digest=sha256:080ca39fa8daee9dddc6b8745b5e73118b26966206ac4b63b752819a0fd66a9e

Observation cdd6c024-d0e5-47e8-8e0b-95c5ded559d4 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T17:33:51.103854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:33:51.103854Z digest=sha256:e80634a5ef7188b96fd0fc8b1ab936c6b2206b08177d7ece501df0ccfb22475a

Observation 880fa36b-5707-4c51-897b-1a7bea7fd8aa · outbound

This paper cites 78, Cambridge University Press, Cambridge, 2002.

A short proof of the existence of the injective envelope of an operator space 78, Cambridge University Press, Cambridge, 2002

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.571563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:51.223984Z digest=sha256:a220b5711e887acd57b7861f507c530b6d6f21b65bcd0875d467dd9172800372

Observation 774de1eb-50ea-49b3-b637-b15a8c251369 · outbound

This paper cites Paulsen,A dynamical systems approach to the Kadison-Singer problem, J.

A short proof of the existence of the injective envelope of an operator space Paulsen,A dynamical systems approach to the Kadison-Singer problem, J

Reference 24

Resolution
verified exact
doi, observed 2026-08-06T17:33:53.060878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:51.383795Z digest=sha256:799ac667407d0414cb7d82a8234408c6f8126d979dc8397f0d8992a008ff8b65

Observation e2411136-4083-4cbf-8a6d-5732380e9aa1 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 25

Resolution
verified exact
doi, observed 2026-08-06T17:33:52.714441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:51.518987Z digest=sha256:49a911f2d18dc8ffdee55c6022a7033d8bb71e4feec3f32696a8343279319110

Observation e739e8f0-3842-4df5-9444-ed2291e4f589 · outbound

This paper cites an unresolved cited work.

A short proof of the existence of the injective envelope of an operator space Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-06T17:33:52.351335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:51.637030Z digest=sha256:891edb5abbd5fc6ff2a11d857c46b78e072526b0f0ab30a18fe6b89c6d59f056

Observation ed721527-c47d-463a-9631-57fa34936b76 · outbound

This paper cites Ryan, Introduction to tensor products of Banach spaces, Springer Monographs in Mathematics, Springer-Verlag London, Ltd., London, 2002.

A short proof of the existence of the injective envelope of an operator space Ryan, Introduction to tensor products of Banach spaces, Springer Monographs in Mathematics, Springer-Verlag London, Ltd., London, 2002

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.405529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:51.766160Z digest=sha256:c09425d9297cff04fd8317e94f0b7121048c2447a266fd22ebeccd1f3d9cf6d0

Observation e64224f9-5b97-4e6e-ac2d-6b9f1fa9bea5 · outbound

This paper cites Department of Mathematics, Purdue University, 150 N University St, West Laf ayette, IN 47907-2067, USA Email address: tsincla@purdue.edu.

A short proof of the existence of the injective envelope of an operator space Department of Mathematics, Purdue University, 150 N University St, West Laf ayette, IN 47907-2067, USA Email address: tsincla@purdue.edu

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T17:33:55.214800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T17:33:51.964747Z digest=sha256:0a22aa613ec453416f3141090dd23394fad810d69ea80aeb9c3461b6be7c13b0

Pith citing papers

No inbound Pith citation observations are available.