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Paper Citation Record · LEDGER

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2505.14891.

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

pith.paper-citation-record.v1
2505.14891 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:37:40.132531Z

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 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

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved8
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e6c8523b-8a9b-4387-b842-43a664ab4e57 · outbound

This paper cites https://docs.chia.net/green-paper-abstract/ (2019).

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains https://docs.chia.net/green-paper-abstract/ (2019)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:44.843361Z

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=2026-08-07T15:37:37.129439Z digest=sha256:5a857c74e5c03a2cc6ee559d6cd7bed679445ee9c2bee73bd8d99d580e5e6398

Observation 65be921d-c45f-4fb9-a08e-c0587615b1c3 · outbound

This paper cites In: Takagi, T., Peyrin, T.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Takagi, T., Peyrin, T

Reference 2

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no resolver link, observed 2026-08-07T15:37:37.218238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:37:37.218238Z digest=sha256:3de9a0ac5c9309159fc281e03bdf1292d8bdc57611884d7e12ae1174c3290da3

Observation 332c157a-aea8-42b3-a498-d574a56865f8 · outbound

This paper cites In: Lie, D., Mannan, M., Backes, M., Wang, X.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Lie, D., Mannan, M., Backes, M., Wang, X

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:44.708179Z

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=2026-08-07T15:37:37.357059Z digest=sha256:b46291e9277c21392f43e8c2b26831adeb59bcc48c6b2fe5292f27ec9cc2f31a

Observation 535d8186-92c0-4bcd-8863-90510016cc25 · outbound

This paper cites In: Soares, J.M., Song, D., Vukolic, M.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Soares, J.M., Song, D., Vukolic, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:44.503199Z

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=2026-08-07T15:37:37.538550Z digest=sha256:377bb5830ce99aef48e446505f9a0c95779a6884b033de87e29c9355423b3238

Observation 2d831245-5b9a-47a8-a7fe-9c7e757d847f · outbound

This paper cites In: Shacham, H., Boldyreva, A.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Shacham, H., Boldyreva, A

Reference 5

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raw_fallback, observed 2026-08-07T15:37:44.333692Z

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=2026-08-07T15:37:37.662621Z digest=sha256:cb2ab49deb9658827bc22f71e3a15b732ee998293b33a28be1ef3c75bfd77317

Observation e5cdb8b0-1091-4303-9f6f-8a5447472413 · outbound

This paper cites In: Chaum, D., Rivest, R.L., Sherman, A.T.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Chaum, D., Rivest, R.L., Sherman, A.T

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T15:37:37.770263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:37:37.770263Z digest=sha256:cef689bb6da41cb99e0b7e3f4012784a795b71b8729e55cce721613e1318ba18

Observation 98e206a4-2a0d-4ac2-980f-e5d77aeeb3d6 · outbound

This paper cites https://docs.chia.net/files/Precursor-ChiaGreenPaper.pdf (2019), this is an early proposal and differs significantly from the implemented version [1].

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains https://docs.chia.net/files/Precursor-ChiaGreenPaper.pdf (2019), this is an early proposal and differs significantly from the implemented version [1]

Reference 7

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raw_fallback, observed 2026-08-07T15:37:44.181730Z

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=2026-08-07T15:37:37.870416Z digest=sha256:f318b8ff0d1bfce1104ac50d90ff1c89cc48b897809368b9c26c68441dc17c91

Observation acca4dee-3c4e-4744-abd1-fecae537cdd6 · outbound

This paper cites In: Gennaro, R., Robshaw, M.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Gennaro, R., Robshaw, M

Reference 8

Resolution
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raw_fallback, observed 2026-08-07T15:37:44.061624Z

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=2026-08-07T15:37:37.960657Z digest=sha256:5385e3d8f83c0289aeaa0dc8ced9b185c2d85925e2594dfd37d008f8ca93f530

Observation f83e3f26-4015-4b9a-b46c-5801e38e95b5 · outbound

This paper cites In: Katz, J., Shacham, H.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Katz, J., Shacham, H

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T15:37:38.066122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:37:38.066122Z digest=sha256:1f3b80b2e4b84b80ec3861b201555e86272f57af9aa7cd6f9a97916d508f2e74

Observation 2d0d0e08-2373-4bdf-8502-d7e050d6699b · outbound

This paper cites Permissionless Consensus.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Permissionless Consensus

Reference 10

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unresolved
no resolver link, observed 2026-08-07T15:37:38.154525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:37:38.154525Z digest=sha256:ed5424aa1b5082298b3f2dbff1a82e3dc52ef9d06672b52288c83f55597121e7

Observation cce6296c-8233-4204-b104-f0e0c5d022d7 · outbound

This paper cites In: Meiklejohn, S., Sako, K.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains In: Meiklejohn, S., Sako, K

Reference 11

Resolution
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doi_truncated, observed 2026-08-07T15:37:40.306250Z

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=2026-08-07T15:37:38.236823Z digest=sha256:cb0141e68aaf28226ebbf61c6b63f3536a6d625a10539a0d5cc831ad7cf27470

Observation 4a6c7217-4c2d-4798-b7fd-57a077d637a3 · outbound

This paper cites Proof (Proof of Theorem 1).We already sketched the general idea in Section 1.4 and will make it more formal here.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Proof (Proof of Theorem 1).We already sketched the general idea in Section 1.4 and will make it more formal here

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:43.917594Z

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=2026-08-07T15:37:38.301160Z digest=sha256:e9d1411514855643e2cf305cfa1e6942bc02f659aac4efad3021b3f86ab8c306

Observation 90997af1-3693-48c7-8918-d8ba549b2843 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 15

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unresolved
raw_fallback, observed 2026-08-07T15:37:43.770047Z

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=2026-08-07T15:37:38.362104Z digest=sha256:d2e36b07478c355a09995f7982925e5b32293d0eba4acf7ab7b5a0facbd4ae20

Observation 71770cfe-fcd6-4ad3-93e3-e40fef853da0 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 16

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raw_fallback, observed 2026-08-07T15:37:43.661383Z

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=2026-08-07T15:37:38.463297Z digest=sha256:03223b2b1cc84f81e3476423c860aaf344c402b227fa209b90cce12c4d39a8bd

Observation aa393537-aea0-4813-b143-3c942d98e8c8 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 17

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raw_fallback, observed 2026-08-07T15:37:43.484420Z

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=2026-08-07T15:37:38.548072Z digest=sha256:934792ff77319ecf5c1126a70b619e41d91444387ebe86ce13d0c00f6840c152

Observation 055dc0ff-442c-4f98-86b8-b4edfcca66c7 · outbound

This paper cites Thuss H i = 1 +ε·s H i−1.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = 1 +ε·s H i−1

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:43.340256Z

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=2026-08-07T15:37:38.606141Z digest=sha256:1fea0f7c263b1c809082177b00939670594824d642f9968e4d4f86fadf3c3d17

Observation 33f4d1c8-27cb-4da0-ad33-7dd2897dabb4 · outbound

This paper cites So,s H i = 1 +ε·s H i−1 = (1 +ε) k ≥ϕ.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains So,s H i = 1 +ε·s H i−1 = (1 +ε) k ≥ϕ

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-07T15:37:43.191931Z

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=2026-08-07T15:37:38.738169Z digest=sha256:96a5f3e3eb8beaff1d3ab26285e5ea132c68d529fd2a64d9ebe9e703e7bb696c

Observation f7a2f815-522e-4e20-8e40-b8aa3d15c4d5 · outbound

This paper cites Thus,s H i = (1 +ε) 2k−i.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus,s H i = (1 +ε) 2k−i

Reference 20

Resolution
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raw_fallback, observed 2026-08-07T15:37:43.042303Z

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=2026-08-07T15:37:38.846666Z digest=sha256:2e25ae187c5f4d1e2486afeb0d737a6fc09d040e095ee33670340591457a5c44

Observation 622b0d06-1643-4702-9d10-a20de01196d9 · outbound

This paper cites Thuss H i = 1.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = 1

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:42.860886Z

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=2026-08-07T15:37:38.911132Z digest=sha256:6852d72bd00ae301bce7f57ac3a1c5bd6afddce8bc190e64081eae0ee7318c72

Observation bfebdcb8-cc2e-4440-a337-f15d516927ef · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 22

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unresolved
raw_fallback, observed 2026-08-07T15:37:42.696497Z

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=2026-08-07T15:37:38.993222Z digest=sha256:783fbb1f56f733997b69939147c3631af3addb3ef57816f5ff47688916bf112d

Observation 3d6e9311-0d24-4c7e-b3da-914ecd9a3f37 · outbound

This paper cites Formally,.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Formally,

Reference 23

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verified fuzzy
raw_fallback, observed 2026-08-07T15:37:42.544754Z

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=2026-08-07T15:37:39.106139Z digest=sha256:9ebbfd47b6340f5421a8c9265464eecfd6d7503ccc60f12f5d80b042d174e494

Observation d2aa2c1e-2ffc-4618-b098-b44d7e47b64e · outbound

This paper cites Note that here eCis the honest chain whileCis the adver- sarial chain.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Note that here eCis the honest chain whileCis the adver- sarial chain

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-07T15:37:42.357957Z

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=2026-08-07T15:37:39.216027Z digest=sha256:cf44293d9bc3497d20d3e48ef5e436652f44486dac74de17de3d3efdd8bfd02d

Observation c78cf5ce-dea1-49d3-9e03-5094732e431f · outbound

This paper cites Thus,s H i = 1.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus,s H i = 1

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:42.124052Z

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=2026-08-07T15:37:39.334469Z digest=sha256:20bd6503c23ddc165803dadce3127efb1facb9b968d69d38f4882c36ac3c6404

Observation d6f720e7-5b30-4647-a11e-ca20677a733d · outbound

This paper cites Thuss H i = (1 +ε) i−l.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε) i−l

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:41.973280Z

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=2026-08-07T15:37:39.416651Z digest=sha256:2d2947be698880b40ab7d2085ff1b4e61eaa4143d69faa43c0332078e90c3685

Observation e1a43f59-b406-47b7-bd94-27f2299b9466 · outbound

This paper cites Thuss H i = (1 +ε)k ≥ ⌈ϕ⌉.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε)k ≥ ⌈ϕ⌉

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:41.826979Z

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=2026-08-07T15:37:39.504545Z digest=sha256:047c34c51e9fe6c9dc12f6651da95d9ec0403983c746b6e24ae6b86452dc67ac

Observation 6bbc6072-1498-4e97-8edd-4acbd95842ab · outbound

This paper cites Thuss H i = (1 +ε)l+2k−i.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thuss H i = (1 +ε)l+2k−i

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:41.663104Z

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=2026-08-07T15:37:39.617680Z digest=sha256:4dbb86bfbea18393581c343fceceb3e026904fab968ee250baff229ce8802ee4

Observation be9d34c0-e41f-41ff-9924-b2260a89372a · outbound

This paper cites IfΛ(C ℓ 0, eCℓ.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains IfΛ(C ℓ 0, eCℓ

Reference 29

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verified fuzzy
raw_fallback, observed 2026-08-07T15:37:41.514094Z

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=2026-08-07T15:37:39.733121Z digest=sha256:077ec00c2ab4f4a358c265b91adfe0fe7dd19da879f1899e815f94a2ee3d5c6b

Observation d75f81e1-88b1-4e3f-ad04-6f6fcce10ae7 · outbound

This paper cites Therefore in either case it is possible to fool the chain selection.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Therefore in either case it is possible to fool the chain selection

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:41.343971Z

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=2026-08-07T15:37:39.844801Z digest=sha256:a7d6b5dcae4fabf18aa7e6bc3a38f0fa0c80568ab5cd7d8ee7214235e0b79964

Observation bc0dd932-87a7-48fb-8450-5b7fb4d47ea8 · outbound

This paper cites Let’s assumeC j 0 is the honest chain, while eC j 0 is the adversarial one created in the (ϕ,1 +ε, ρ, Λtent) forking game.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Let’s assumeC j 0 is the honest chain, while eC j 0 is the adversarial one created in the (ϕ,1 +ε, ρ, Λtent) forking game

Reference 31

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verified fuzzy
raw_fallback, observed 2026-08-07T15:37:41.228913Z

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=2026-08-07T15:37:39.962343Z digest=sha256:3949289bbbe5965bec0ba0e642eba4a246dddec104bcbd55644b558bee4a7068

Observation 2af4d53c-55c8-4092-ad1a-e78ae2ec815e · outbound

This paper cites Number of rounds required to replot this space, using µ ϕ , is k−1X i=0 ρ· & µ (1+ε)i − µ ϕ µ ϕ ' = k−1X i=0 ρ· ϕ (1 +ε) i −1 ≥ρ· k−1X i=0 ϕ (1 +ε) i −1 =ρ· ϕ·(1 +ε)· 1− 1 ϕ ε −k !.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Number of rounds required to replot this space, using µ ϕ , is k−1X i=0 ρ· & µ (1+ε)i − µ ϕ µ ϕ ' = k−1X i=0 ρ· ϕ (1 +ε) i −1 ≥ρ· k−1X i=0 ϕ (1 +ε) i −1 =ρ· ϕ·(1 +ε)· 1− 1 ϕ ε −k !

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:41.100396Z

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=2026-08-07T15:37:40.073061Z digest=sha256:ddb9f1200ae30b3c81807f3fbe9f4b50b3df54208b409870dd7d306281ab53f7

Observation f14052e8-c77d-4db0-841c-6cbcc72ebdf8 · outbound

This paper cites Thus in total at leastρ∗lsteps are required.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Thus in total at leastρ∗lsteps are required

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:37:40.878254Z

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=2026-08-07T15:37:40.132531Z digest=sha256:47ddabc4390fcc294824cd6d6a13357c8ab261c244d7fb73a8d601ea74c4a474

Observation 8c6e71fa-52aa-4719-a89a-4bf0c8ad4b48 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-07T15:37:37.454371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:37:37.454371Z digest=sha256:576e6e0059f61816fe32a581ec3980b1a6ebdf88c26785eb7c9fbda4d91a7250

Observation b5ab13cc-ba2f-40f2-93e0-8488a116f2a5 · outbound

This paper cites an unresolved cited work.

On the (in)security of Proofs-of-Space based Longest-Chain Blockchains Unresolved cited work

Reference 2022

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T15:37:40.655225Z

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=2026-08-07T15:37:37.603756Z digest=sha256:fe8b8e0a629c23c17d2c1cf321c218f7d5d355747cc6a34aabade79b923d8411

Pith citing papers

No inbound Pith citation observations are available.