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Paper Citation Record · LEDGER

Cup and cap products for cohomology and homology groups of ample groupoids

As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2411.14906.

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

pith.paper-citation-record.v1
2411.14906 v3

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:52:41.316393Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:15:28.389430Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T23:15:28.499849Z

Reference resolution

38 of 38 outbound references displayed

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External citation measurements

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Outbound references

Observation 07cf38f8-140e-4919-aebc-8d5824ed645c · outbound

This paper cites Akkermans, Y.

Cup and cap products for cohomology and homology groups of ample groupoids Akkermans, Y

Reference 1

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation a80178fd-dd6d-4e55-aa37-e176ae0f1b35 · outbound

This paper cites an unresolved cited work.

Cup and cap products for cohomology and homology groups of ample groupoids Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-12T14:52:40.997387Z digest=sha256:9f9751e8d6017ac4d97b4624831eb60b7d6a2ec440c7ea83725496a541faba6b

Observation 8e1ff2fd-b425-4f08-bf32-fb90fafbba3d · outbound

This paper cites Bellissard, R.

Cup and cap products for cohomology and homology groups of ample groupoids Bellissard, R

Reference 3

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source=pdf_text observed=2026-08-12T14:52:41.002688Z digest=sha256:51ac640cb4e6e9c281c03e13bf9b0bffe5b9f6a2dfeb5aa7e1832f9104eb5b79

Observation f2f866ae-14d7-4a62-967e-2131018da52e · outbound

This paper cites Bellissard, J.

Cup and cap products for cohomology and homology groups of ample groupoids Bellissard, J

Reference 4

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source=pdf_text observed=2026-08-12T14:52:41.012636Z digest=sha256:b6019003c6fbfb5f424056e0303bab9379e43f01548d3bf56e95326f84cfa247

Observation 7d38a5b5-6aff-49ed-a871-b0b9b83c63fe · outbound

This paper cites Benameur and H.

Cup and cap products for cohomology and homology groups of ample groupoids Benameur and H

Reference 5

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source=pdf_text observed=2026-08-12T14:52:41.019765Z digest=sha256:85312af3eac6a676aa82ea7e16aec0a5184560ee482aa957764edafd46f5fbae

Observation 409fe000-6c53-4a25-b6d6-1a95c705b876 · outbound

This paper cites B¨ onicke, C.

Cup and cap products for cohomology and homology groups of ample groupoids B¨ onicke, C

Reference 6

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source=pdf_text observed=2026-08-12T14:52:41.028604Z digest=sha256:08f641403757c189de1143b7fe3a1e2da067a8203f9b1f56e1978546b42367ce

Observation ed678b27-314c-46dd-a615-1f6ae3c00063 · outbound

This paper cites Crainic, Cyclic cohomology and characteristic classes for foliations , Ph.D.

Cup and cap products for cohomology and homology groups of ample groupoids Crainic, Cyclic cohomology and characteristic classes for foliations , Ph.D

Reference 7

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source=pdf_text observed=2026-08-12T14:52:41.037100Z digest=sha256:37e0e0939b17cd28ba0dd0b47d47aa683e22bb155d55877435559869ececf863

Observation 2666ea4f-ec29-4c59-afe8-c70ef78e8fd7 · outbound

This paper cites A Homology Theory for Etale Groupoids.

Cup and cap products for cohomology and homology groups of ample groupoids A Homology Theory for Etale Groupoids

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.044603Z digest=sha256:393ea2677d6d5320a11556fea982bfc4f449c1c4afb52c5ba59880b33d65e782

Observation 2e5eb34e-b89a-47ff-811b-580f2dd11461 · outbound

This paper cites Crainic and I.

Cup and cap products for cohomology and homology groups of ample groupoids Crainic and I

Reference 9

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source=pdf_text observed=2026-08-12T14:52:41.050542Z digest=sha256:751015bbc0350c90365a4f1b5fd40066af09c280ac64660c954cbdfe010ac3a1

Observation 9cd53731-d2a2-4db6-aeaf-5247d127620c · outbound

This paper cites de la Harpe and G.

Cup and cap products for cohomology and homology groups of ample groupoids de la Harpe and G

Reference 10

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source=pdf_text observed=2026-08-12T14:52:41.070636Z digest=sha256:81f685e4cad06357a4afb7bb1ea1ed214f3ef9694fb4d4641ce0e4b5e9f38545

Observation 71bb9555-2366-4ab5-8484-f77d08291364 · outbound

This paper cites Farsi, A.

Cup and cap products for cohomology and homology groups of ample groupoids Farsi, A

Reference 11

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source=pdf_text observed=2026-08-12T14:52:41.083854Z digest=sha256:9fbe47677bb932cf912f5ac6dfedf6fdff59b990e1bdf2b952a982659419439b

Observation 12158440-85ea-40c0-acf2-adec3509229b · outbound

This paper cites G¨ ahler, J.

Cup and cap products for cohomology and homology groups of ample groupoids G¨ ahler, J

Reference 12

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source=pdf_text observed=2026-08-12T14:52:41.094175Z digest=sha256:9640a45688da38824bfd0f227589932a5b435470d7d22d20357fc3726bf50bb1

Observation 4822b476-06dc-433e-a600-ee5b62e48fb6 · outbound

This paper cites Godement, Topologie alg´ ebrique et th´ eorie des faisceaux, vol.

Cup and cap products for cohomology and homology groups of ample groupoids Godement, Topologie alg´ ebrique et th´ eorie des faisceaux, vol

Reference 13

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source=pdf_text observed=2026-08-12T14:52:41.113014Z digest=sha256:985f7ce074d6b690a07fa5d54cb15b318a4b5cb03de553951675f52a87586490

Observation d23a4672-1318-4b67-8bd1-158047a83320 · outbound

This paper cites Haefliger, Differential cohomology , in Differential topology (Varenna, 1976), Liguori, Naples, 1979, pp.

Cup and cap products for cohomology and homology groups of ample groupoids Haefliger, Differential cohomology , in Differential topology (Varenna, 1976), Liguori, Naples, 1979, pp

Reference 14

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source=pdf_text observed=2026-08-12T14:52:41.120866Z digest=sha256:ea015a4ee0c4517decfc757fe09102deb774f0c19506a1dcf0c56fc0d7f8279d

Observation a9e39626-fd66-41bb-a40e-ac0fdeb3ff63 · outbound

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

Cup and cap products for cohomology and homology groups of ample groupoids Hatcher, Algebraic topology, Cambridge University Press, Cambridge, 2002

Reference 15

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.129109Z digest=sha256:92850fbbcd1259ba0db3435ecd8c2e693e369c8df4c1b6ab98b2620a08e59e1b

Observation da0d6c8e-8e7f-4b4a-a4fa-f1ad1a55fcbb · outbound

This paper cites Kaminker and I.

Cup and cap products for cohomology and homology groups of ample groupoids Kaminker and I

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.139516Z digest=sha256:2994233ef31b1f506a8447284d519b9e0e3f495a44b140f3329fd6379950a530

Observation fe27a0c1-149b-4068-b7c4-f4ab5aedbcd4 · outbound

This paper cites Kellendonk, Noncommutative geometry of tilings and gap labelling , Rev.

Cup and cap products for cohomology and homology groups of ample groupoids Kellendonk, Noncommutative geometry of tilings and gap labelling , Rev

Reference 17

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source=pdf_text observed=2026-08-12T14:52:41.148682Z digest=sha256:404ead678ab13b984b2fe15092491bed243f83b11eaed59bc4ca49837c89608a

Observation 5c041fe3-bf76-4835-a638-c49eeabee19a · outbound

This paper cites Kellendonk and I.

Cup and cap products for cohomology and homology groups of ample groupoids Kellendonk and I

Reference 18

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source=pdf_text observed=2026-08-12T14:52:41.156464Z digest=sha256:b6239e2ab1e2f45298ec630f3df9c5d5d6eb573ee5514d8981ca28b6460b70eb

Observation d548fcf5-573b-497e-a0ab-e915e47bfc57 · outbound

This paper cites Elementary amenability and almost finiteness.

Cup and cap products for cohomology and homology groups of ample groupoids Elementary amenability and almost finiteness

Reference 19

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:52:41.166707Z digest=sha256:53cea3738c641fcba77104d0ecbe3e8f1a57a620636c7a48ca249163d59a959d

Observation 260e71f9-b33f-4c54-a75e-941d94b35275 · outbound

This paper cites Kishimoto and A.

Cup and cap products for cohomology and homology groups of ample groupoids Kishimoto and A

Reference 20

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.178522Z digest=sha256:21c4f3351f52a2e62cd51abac61fd3fa33f6859edf2bac50923c4b70e04cb5fb

Observation c1f567b1-77b1-4173-bba9-344d9de531f5 · outbound

This paper cites Li, A new approach to recent constructions of C∗-algebras from modular index theory, J.

Cup and cap products for cohomology and homology groups of ample groupoids Li, A new approach to recent constructions of C∗-algebras from modular index theory, J

Reference 21

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.185537Z digest=sha256:be29e2fde281117699810431ae43fa526480e84a57a4a0688d62a92d9b7bc08f

Observation a89b152f-2285-421f-8018-1b75c5444487 · outbound

This paper cites Lin, Asymptotically unitary equivalence and asymptotically inner automorphisms , Amer.

Cup and cap products for cohomology and homology groups of ample groupoids Lin, Asymptotically unitary equivalence and asymptotically inner automorphisms , Amer

Reference 22

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.196128Z digest=sha256:a2b1a9bbe7834c87cbe6c49c15372f0ad0a36127096beef0cb11200424bb0b0f

Observation 7cc95ff1-0bd8-41ae-95d1-84e5b46de1e6 · outbound

This paper cites Matui, Ext and OrderExt classes of certain automorphisms of C∗-algebras arising from Cantor minimal systems , Canad.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Ext and OrderExt classes of certain automorphisms of C∗-algebras arising from Cantor minimal systems , Canad

Reference 23

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.201929Z digest=sha256:08f6f89d32d38c06f30f7016630ef47c3de91be90615653cd99267acddc3b963

Observation f505b1d6-4150-4a17-9bf7-68c4abf2f49c · outbound

This paper cites Matui, Classification of homomorphisms into simple Z-stable C∗-algebras, J.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Classification of homomorphisms into simple Z-stable C∗-algebras, J

Reference 24

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.210332Z digest=sha256:b63f23350dc476b82a0460061c3317eaf1370729b0a655d3de055286b444ea0a

Observation 834ecfed-f90a-4185-8f5b-b4cfd902f739 · outbound

This paper cites Matui, Homology and topological full groups of ´ etale groupoids on totally discon- nected spaces, Proc.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Homology and topological full groups of ´ etale groupoids on totally discon- nected spaces, Proc

Reference 25

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source=pdf_text observed=2026-08-12T14:52:41.217408Z digest=sha256:a0c033781cba364c0545ec5bd86bc1c13bbb80c2777161fe86677bec556cb5b5

Observation 60abf295-8213-495d-a0b4-87c675515b59 · outbound

This paper cites Matui, Topological full groups of one-sided shifts of finite type , J.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, Topological full groups of one-sided shifts of finite type , J

Reference 26

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.225590Z digest=sha256:ca0f1cb1ba20b32ccd15f5ae0881c0a1c6b1ef842486e55715dfaf20d881d59e

Observation cfcd4735-2518-49bd-9f7d-5697d455ae0b · outbound

This paper cites Matui, ´Etale groupoids arising from products of shifts of finite type , Adv.

Cup and cap products for cohomology and homology groups of ample groupoids Matui, ´Etale groupoids arising from products of shifts of finite type , Adv

Reference 27

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source=pdf_text observed=2026-08-12T14:52:41.232492Z digest=sha256:bebcd6e74731b97611d8deba5e7519b4fe753fcae80ca5629e4f907e9ffe6aee

Observation 09c9fc39-3174-4876-886c-2b5dd2d3e44b · outbound

This paper cites Moerdijk, Proof of a conjecture of A.

Cup and cap products for cohomology and homology groups of ample groupoids Moerdijk, Proof of a conjecture of A

Reference 28

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.239750Z digest=sha256:b228600a5a1b3b1eb6db3c053597efbb572f155d8c8d5a1abfaefbf4eca86ee8

Observation 33d6f81d-f232-41bb-a058-4a30fe51a25f · outbound

This paper cites Niu, Radius of comparison and mean topological dimension: Zd-actions, Canad.

Cup and cap products for cohomology and homology groups of ample groupoids Niu, Radius of comparison and mean topological dimension: Zd-actions, Canad

Reference 29

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raw_fallback, observed 2026-08-12T14:52:41.712579Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.245126Z digest=sha256:cc7b319cefd6afeb631606540cea2dde848f3f9784015deee13a008bb0cca8d1

Observation a2611bcd-0fa0-4d3c-89cd-8f7b3e868f63 · outbound

This paper cites Ortega, The homology of the Katsura-Exel-Pardo groupoid, J.

Cup and cap products for cohomology and homology groups of ample groupoids Ortega, The homology of the Katsura-Exel-Pardo groupoid, J

Reference 30

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source=pdf_text observed=2026-08-12T14:52:41.255464Z digest=sha256:7e069a34e345b80c9aa18ad1a147e088ef6d940ebcb732f0c5207e4b2c8c8159

Observation fe1af7e8-9824-4d3e-bc8f-5d03df990b82 · outbound

This paper cites Ortega and A.

Cup and cap products for cohomology and homology groups of ample groupoids Ortega and A

Reference 31

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source=pdf_text observed=2026-08-12T14:52:41.263781Z digest=sha256:4aabe24d8f54263b934ff5468dcd7f670dfd085c354ae876029c3070b9a6e3f2

Observation 7897e960-0266-4150-8529-59da807f99d2 · outbound

This paper cites Ortega and E.

Cup and cap products for cohomology and homology groups of ample groupoids Ortega and E

Reference 32

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source=pdf_text observed=2026-08-12T14:52:41.273364Z digest=sha256:f669732e15361d97860d7ceff40847fa3d1670fe8eccb8c917ee89b01c994a60

Observation 3ecbfbb4-0ab9-4b25-87e5-ab51e2bb6ad8 · outbound

This paper cites an unresolved cited work.

Cup and cap products for cohomology and homology groups of ample groupoids Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.279709Z digest=sha256:8bb78eecd3529416a676599bdafe4b5c9068b7697c179e6fea80ee218fd4752f

Observation 5244258e-8c20-4129-892d-58a5703bb220 · outbound

This paper cites Proietti and M.

Cup and cap products for cohomology and homology groups of ample groupoids Proietti and M

Reference 34

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.284900Z digest=sha256:37374952a3a83bea8a1019c8707563df9646388b3ebc2709671f54f11601ee16

Observation 388299eb-83bd-4823-8742-40ebea79ced2 · outbound

This paper cites Renault, A groupoid approach to C∗-algebras, vol.

Cup and cap products for cohomology and homology groups of ample groupoids Renault, A groupoid approach to C∗-algebras, vol

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-12T14:52:41.553025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.292264Z digest=sha256:c2eedb4ba22313cac3263733eca2a63199f5b0351e69d62b20e471ba5e6d7926

Observation 2a49bb36-c421-4570-a4d7-e86c04a1353d · outbound

This paper cites Renault, Cartan subalgebras in C∗-algebras, Irish Math.

Cup and cap products for cohomology and homology groups of ample groupoids Renault, Cartan subalgebras in C∗-algebras, Irish Math

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:52:41.528147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.301714Z digest=sha256:569ef5237bd73035ae88cd025f1632a0d5c35121b62798c3d0558f1a1bad6da6

Observation a2e53897-9b2e-457a-aaf6-91248069b8ba · outbound

This paper cites Rigidity, Generators and Homology of Interval Exchange Groups.

Cup and cap products for cohomology and homology groups of ample groupoids Rigidity, Generators and Homology of Interval Exchange Groups

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-12T14:52:41.385808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.308392Z digest=sha256:03c69622b7c80d805ef7c29393438140446781c3eb217815824aee3328f4cc3f

Observation deae7dc4-8a67-4d58-b9a2-fab549a51214 · outbound

This paper cites Yi, Homology and Matui’s HK conjecture for groupoids on one-dimensional solenoids, Bull.

Cup and cap products for cohomology and homology groups of ample groupoids Yi, Homology and Matui’s HK conjecture for groupoids on one-dimensional solenoids, Bull

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:52:41.484721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T14:52:41.316393Z digest=sha256:3607aec1aaf43d4f392729061001cba18d2af44bd2a243918a214a01ed7975b7

Pith citing papers

Observation f58a442d-40f9-4c04-9db2-f5a941b0f75f · inbound

Cohomology of ample groupoids cites this paper.

Cohomology of ample groupoids Cup and cap products for cohomology and homology groups of ample groupoids

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:15:28.504923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T23:15:28.389430Z digest=sha256:5622313ef6ee568533fe119851aa17dd815d6500b867cd99aef5d55b36a13cca