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 2026-08-15T06:32:42.880941+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

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:47.673272Z digest=sha256:b809218850d1e7d634f7c0566e48c71d7f601f4e14d13592726a70f8cb1974a7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:47.853952Z digest=sha256:c2975e46e40cb3354e0e66c3d62a05786dd682fb11e51237ed973d9618412ddd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:48.082051Z digest=sha256:e7f3d4f0b13344cd5414054e4cc86ac4d4e998158f17f5c5e362aded9663960f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:48.214903Z digest=sha256:0e94f6cadb687d632e70eb96704aa3011a0b28a026112ae45bcfe2982cfda072

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:48.407150Z digest=sha256:eb5a96a28fcc085cbe26213ea4bb586984d6f86a3f9b406cc2fd16547155b5dd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:48.566565Z digest=sha256:819dbe56295b927896154fe159b0076cd3a4fc6aff05a7f9fb2856e240e3213b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:48.784782Z digest=sha256:3ba2398d1d0c3e056738e727897e609e9e1bd8b00db409180674c0b2162975df

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:48.953000Z digest=sha256:4e0b5e64df85b4e42f5872ab0353f0d3cfb5fd91eeb74bc4010dbc4940bd8c0a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:49.081787Z digest=sha256:66e69356f685e3c51d936c09ac326e281266f30c5c0892918f693d2e6a72fc34

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:49.314136Z digest=sha256:ea1cc9a4e36bbcecb7925ccd6cc37ece51b76fc8169ed505b5b2aff1dfe8d34b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:49.446906Z digest=sha256:579d17aa695e4d03efd411e8b4899b0693f59b0d9ba08b2c8980e68ce80deca2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:49.561630Z digest=sha256:87c14ab8b174bbcdecc6bf86d54495a933d935c169b089160b6f7135c41dfc75

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:49.703030Z digest=sha256:34f7abdfba866ac3728931cc8482ea06280241274a56cb5aa948d36be9f68a33

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:50.396050Z digest=sha256:bfa2f88e9c45309c8052087c45ec481988a110bd606730bcba7c0f1c04d95176

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:50.561995Z digest=sha256:a8a75aaf02aedc2cfbccf9177e71b953517eb1ab3b95dfe5ec1bc956ae52c1b3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:50.721156Z digest=sha256:8f8f1619c812461104d22956595bfaa1ad15255ee603dccfc134d8f67ca6359e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:50.855168Z digest=sha256:969888fb395f3c331c680a11dff48ceb2cc499a8fa939921592659b196eff912

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:51.223984Z digest=sha256:3502146cfae500cd93d1b85faa2247528c2858f0e55a10637d9121924c45bde0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:51.383795Z digest=sha256:1d3bdd08a13e795df7048c90091d730226f479e93e22d0f6bda1691daec3593b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:51.518987Z digest=sha256:288ee4f9ccd09e1622532861c438757ca391c288e1269a74b41c3dac79eb7d52

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:51.637030Z digest=sha256:5b9818d9e3fcda6996811b8f1fd7745c8d221b263246d2962170c79783b5a67d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:51.766160Z digest=sha256:9a6db9cc2f7f50d0622d4cc41f9babdc4b54ade4176402b586f96416285832f4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T17:33:51.964747Z digest=sha256:55b51a28cac463c84976d99492ff114bee6d2e77f3051626da6fafb6789ede37

Pith citing papers

No inbound Pith citation observations are available.