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Paper Citation Record · LEDGER

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 2 inbound Pith citation observations for arXiv:2506.04194.

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

pith.paper-citation-record.v1
2506.04194 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:03.982632Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-14T19:23:23.253884Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation c2ee43b6-284f-4b97-861c-3483f0e9d869 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.209993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.903360Z digest=sha256:07e1bf533875d980be10d3803d3b0c1bd0fa50706188c75ed7990f1e256ac30f

Observation b81855d3-07ea-42a4-989f-7e8f9211385b · outbound

This paper cites Condition 2 (Structure of Class D ).

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Condition 2 (Structure of Class D )

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.203441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.907061Z digest=sha256:8e7818e06ce877bca4b3a99b7e7ac6d61ae9a938cd4352cedc9c079f8ab2e05b

Observation d7085cce-df04-4028-aef1-498735d0d3e1 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.196944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.909695Z digest=sha256:0e36a775efef5cdd7aaf11866372c667cb74edcf0e54786f16a60da210cabd2a

Observation ee124ed9-ee36-4a02-9586-8aacd477b976 · outbound

This paper cites Proof of Theorem 4.3.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Proof of Theorem 4.3

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.190489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.912350Z digest=sha256:188982f17dd6199a5a67f368ee539798b26be122ac78fcdb9caf49e42569825d

Observation 8ff2de0f-053c-4761-b2a4-882954d793f5 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.184061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.915554Z digest=sha256:4a96c810e6ac6cf75496c2f5bd4c48dac21f4ec9c28efc6d5035f48524a0a939

Observation ae8d8ff9-446b-4ac4-9c8e-63278c605bfd · outbound

This paper cites Condition 3 (Structure of Class D ).

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Condition 3 (Structure of Class D )

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.177683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.919752Z digest=sha256:f0adc1d4293eac076dc3681d374314a4db5178da3a52ae95f41cf2d22584336c

Observation 1c46b007-0479-405b-afc1-e8fef174c18d · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.171044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.923024Z digest=sha256:a894e6ecd4b41a16833bb72143bb6eafe63772c9f96c2496fe9d5ff56173dc82

Observation 36617ba2-4632-4286-a57c-b74d2e223b56 · outbound

This paper cites Proof of Theorem 4.5.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Proof of Theorem 4.5

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.164202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.925344Z digest=sha256:1fc0a40c1b66553ae1353f9ff29274480b7042a36f3fb34b89d3ae4a7a0e3dcd

Observation fe8afe66-a906-4c7a-8f95-b3dea539e002 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.156404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.927898Z digest=sha256:1bce1dc5f09551b769ae3a39f456e039cb0b255022722e44f688c9ab1c769c6b

Observation 694c9897-760b-432f-82af-8a9da69b83ac · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.149175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.930691Z digest=sha256:534ee5ea8f09a7b40f247cbf0bc866bc7e18493496125b1efb3d6bf4c2dd7a4b

Observation 58ee3ba1-a6db-464d-9208-0ddd7bb3467b · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.141866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.932883Z digest=sha256:0f418a179e48879673bbc90797608d3eb6a09c9b54f810ff5949be7c8cf54196

Observation fffc4f68-c5e9-44b9-aaf6-3d6c9a1b444a · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.134144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.935346Z digest=sha256:00ad612e71a130f74821808122ed3ef1e43d956b3765918a2367c75d2fccfb69

Observation 17a49405-21c8-4ece-ab4e-4f4a52fc47f6 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.127492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.937833Z digest=sha256:579e3bdeb0e306ddedc42ed3c15e7b7bbd9edb713483c0c72f6a735ef145c627

Observation c92e63fe-f791-4899-819a-c8c860c63c58 · outbound

This paper cites 21Distribution P is said to beσ-smooth with respect toµ if its probability density functionp satisfies p(·) ≤ (1/σ) · µ(·).

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness 21Distribution P is said to beσ-smooth with respect toµ if its probability density functionp satisfies p(·) ≤ (1/σ) · µ(·)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.120841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.940369Z digest=sha256:0dd01e0adba82dcc586dcba72f90bbf562634741ae54e1981ea1b6b81dbe92fd

Observation 58ae4741-54c0-4480-9448-f660cf38490d · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.114273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.942855Z digest=sha256:6ce4d4461a22d1edbc57c03303fe1737080585b8ed135af6d41e1ccf28bafe89

Observation cf7fbdc7-fca1-47d9-9e43-cb233d5659a7 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.107682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.945332Z digest=sha256:fc4703ebb03030b1e1cbcd767830b5c1b84f9f758542f32bb67c53d0f69ee0c1

Observation c7ea582d-daa0-4dd6-b114-4fa18599a27a · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.101288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.947668Z digest=sha256:a32e8e67208e3e832ac788b1fc841244e228f96a3af64ee304a7eeb62815c324

Observation 9560375e-1870-4f52-b0a7-0c06ffc5b49b · outbound

This paper cites There is an algorithm that, given n i.i.d.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness There is an algorithm that, given n i.i.d

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.094738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.950078Z digest=sha256:47030d0bb2983b47ec525bd9344899030cddda5b2c005f9a2b1efb65ebd37272

Observation a06fb84a-e315-44ff-8da9-af777d240d4a · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.088140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.952677Z digest=sha256:49191134d57add498b975e6f97d0cf2be8ccacbd3f1dd945c0b5de2ecded99c0

Observation bec65af2-9337-4289-a2b6-f06803f48ed3 · outbound

This paper cites (42) The claim is that E(x,y)∼P′ [y] is O(√ε)-close to ED[Y(1)].

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness (42) The claim is that E(x,y)∼P′ [y] is O(√ε)-close to ED[Y(1)]

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.081852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.955131Z digest=sha256:4be097a25feefb1e06373e7029cd233cf0f879d5c0ab26fa232a472f5cfbdcd6

Observation 8ddb2f3c-8db3-4852-b703-dd9a1568c99b · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.075240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.957617Z digest=sha256:0684fad138dc61d44df580aa318a1a4c9f73a40771996f605978a7c08b94e957

Observation e3440de6-13ac-4c94-b0c2-f04515ac44ae · outbound

This paper cites Proof of Lemma 4.6.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Proof of Lemma 4.6

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.068484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.960070Z digest=sha256:e2d22bde38f7e77a4d30717ea378550edbdb6ef90ec706509acf92b24fff66d7

Observation 0657fb8c-de39-4e6d-8637-46339c016b4e · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.061573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.962695Z digest=sha256:14422f0fb2c998149c1cf42c26fd9261bc667a2d7f091a8c2549302d7a32c5ba

Observation 92bb9709-4084-4602-b430-cfd800aebdd2 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.054673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.965253Z digest=sha256:5ed07f8aa1c28fa9e922bbc1f279e2c712faed9a973138fc48674d94d2775eb4

Observation d4093ee1-e300-490b-a9ce-dd68af129107 · outbound

This paper cites We claim that the tuples (p, P) and (p, Q) witness that (P , D all) violate Condition 1.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness We claim that the tuples (p, P) and (p, Q) witness that (P , D all) violate Condition 1

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.047925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.967623Z digest=sha256:90b62830ee05af61f8ca4307d5ccc197025cbc62476ef902c82fb900b635ffcc

Observation b3fc8aed-1f91-4c36-b27e-d131b17081c6 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.039799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.970223Z digest=sha256:afd948d81a78b5326620e976ccdbc7907dbbffc5b5e1286276410b008dbf22cd

Observation dbf9fd82-14f9-4952-9fd5-47ac719375ba · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.032456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.972706Z digest=sha256:a703082933c1fcc6c6fc99c8c8aa70489259c42ad8c05a80e023c636f3743a64

Observation 7ec5d97f-6583-4175-9675-9f1848b04a92 · outbound

This paper cites comparable.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness comparable

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.025825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.975154Z digest=sha256:84358d25c47d92f643296e8d5aecea892365796895a2154e2fdbc3abea2a8184

Observation 698889d3-9086-42a1-9a57-c379a660e3e3 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.018762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.977838Z digest=sha256:bb9c1af1bf0eb5be3c199017bdfc7423e81bed8bba0cd48c776687c142db8915

Observation 3a13562b-d144-423a-95f8-3d6ac22cc117 · outbound

This paper cites an unresolved cited work.

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:04.011887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.980269Z digest=sha256:ee2dc9027af38894c61440b1909e181159449c3bdcbd74f788b7571e4bc8ca08

Observation a02fdfeb-ad2a-472a-ac2b-ce78d14df6ca · outbound

This paper cites Consider any D is realizable by (P , D ) and satisfying Pr[T=1] ∈ (η, 1 − η).

What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness Consider any D is realizable by (P , D ) and satisfying Pr[T=1] ∈ (η, 1 − η)

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:04.004093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:57:03.982632Z digest=sha256:3f3afc2eb0f1f880beb0bbfed22f155eea9f7e6a7760020c5b3c4793077ba856

Pith citing papers

Observation 00e69d6c-58d7-452a-bea7-19cbf85fce09 · inbound

Towards a holistic understanding of Selection Bias for Causal Effect Identification cites this paper.

Towards a holistic understanding of Selection Bias for Causal Effect Identification What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-14T19:27:51.436292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-14T19:23:23.253884Z digest=sha256:cb5b2b96b3da09b282563b923968a52748d1760dd37fd928043dd1f81293c281

Observation 366a1c0f-59ea-4dc2-9138-ff751d3aea08 · inbound

Towards a holistic understanding of Selection Bias for Causal Effect Identification cites this paper.

Towards a holistic understanding of Selection Bias for Causal Effect Identification What Makes Treatment Effects Identifiable? Characterizations and Estimators Beyond Unconfoundedness

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-14T19:27:52.394122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-14T19:23:23.253884Z digest=sha256:956084e6a17eace2744c3276b3a7cbbbf7196e0b0ff40d3e522c223c780d8928