{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PF7ZC26U3ML2JLVBQTIC3UARIV","short_pith_number":"pith:PF7ZC26U","canonical_record":{"source":{"id":"2607.24579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2026-07-27T15:48:24Z","cross_cats_sorted":["cs.CV","math.AT"],"title_canon_sha256":"708b6816b3e74a6e962a12d3b7b19d01ee4dd64b22b5a240581e41410fbf336b","abstract_canon_sha256":"fe3fbc121794c2638e84c20e3f0006851c1f7e56af0acc684b4abd833534fea4"},"schema_version":"1.0"},"canonical_sha256":"797f916bd4db17a4aea184d02dd01145731dcc7cf0705ae45b4bf2e131357d96","source":{"kind":"arxiv","id":"2607.24579","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24579","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24579v1","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24579","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"PF7ZC26U3ML2","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"pith_short_16","alias_value":"PF7ZC26U3ML2JLVB","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"pith_short_8","alias_value":"PF7ZC26U","created_at":"2026-07-28T02:24:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PF7ZC26U3ML2JLVBQTIC3UARIV","target":"record","payload":{"canonical_record":{"source":{"id":"2607.24579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2026-07-27T15:48:24Z","cross_cats_sorted":["cs.CV","math.AT"],"title_canon_sha256":"708b6816b3e74a6e962a12d3b7b19d01ee4dd64b22b5a240581e41410fbf336b","abstract_canon_sha256":"fe3fbc121794c2638e84c20e3f0006851c1f7e56af0acc684b4abd833534fea4"},"schema_version":"1.0"},"canonical_sha256":"797f916bd4db17a4aea184d02dd01145731dcc7cf0705ae45b4bf2e131357d96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T02:24:11.168510Z","signature_b64":"rdkNG8FcjcslUrh8+hZc9+e4HcXVPw7N1M40VAoFdgQXzpgAOmsffaEhWi5jZCXUp8yFgEeHNBdsSSi6olcmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"797f916bd4db17a4aea184d02dd01145731dcc7cf0705ae45b4bf2e131357d96","last_reissued_at":"2026-07-28T02:24:11.167653Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T02:24:11.167653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.24579","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-28T02:24:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2sMzCvc3u5w3rX9u/SFyqYGE5OKA9FeCcaCs4Gkgw7+Oc8maR76Zk6ff3tcNPEKRmlbDRHAphz9US/OnXZV/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:31:14.799299Z"},"content_sha256":"3bf78b93ecf4746d0d1b8f1ae8eec2661859885f1b6145b09fba5d8b8a282090","schema_version":"1.0","event_id":"sha256:3bf78b93ecf4746d0d1b8f1ae8eec2661859885f1b6145b09fba5d8b8a282090"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PF7ZC26U3ML2JLVBQTIC3UARIV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Denoising 3D images: robustness of persistent homology measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","math.AT"],"primary_cat":"cs.CG","authors_text":"Aakash Karlekar, Ebru Dagdelen, Jonathan Jaquette, Linda J. Cummings, Lou Kondic, Manav Arora, Matthew Illingsworth","submitted_at":"2026-07-27T15:48:24Z","abstract_excerpt":"When computing sub/super-level-set persistent homology (PH), the effect of noise may introduce millions of (short-lived) topological generators, presenting an obstacle to both the computation of PH of large 3D images, and any analysis of PH that incorporates the number of generators. As such, it is often necessary to denoise the data before computing its PH.\n  We analyze the PH of synthetic 3D images of porous media in the presence of spatially uncorrelated noise, and perform a comparative analysis of various topological measures (e.g. bottleneck distance, Wasserstein distance, persistence sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24579","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.24579/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-28T02:24:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TfPh9XaUD6u/C6fXR7LBcVuLJzwkGbVSBAiMn5lgiR0plYxUbu9pIrZiUvavaYk4F90UAjfDG3983i7ovqQ+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:31:14.799800Z"},"content_sha256":"b00dd8fb7dd28daba6bfff744c297480273906c0fa5151869d5161f4d74af107","schema_version":"1.0","event_id":"sha256:b00dd8fb7dd28daba6bfff744c297480273906c0fa5151869d5161f4d74af107"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:PF7ZC26U3ML2JLVBQTIC3UARIV","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1103/PhysRevResearch.2.033234 resolves to 'Revealing structure-function relationships in functional flow networks via persistent homology'. A reader following the printed text alone cannot reach it.","snippet":"J.W.Rocks, A.J.Liu, E.Katifori, Revealingstructure-functionrelationshipsinfunctionalflownetworks via persistent homology, Phys. Rev. Res. 2 (3) (2020) 033234.doi:10.1103/PhysRevResearch.2. 033234","arxiv_id":"2607.24579","detector":"doi_compliance","evidence":{"ref_index":20,"verdict_class":"incontrovertible","resolved_title":"Revealing structure-function relationships in functional flow networks via persistent homology","printed_excerpt":"10.1103/physrevresearch.2","reconstructed_doi":"10.1103/PhysRevResearch.2.033234"},"severity":"advisory","ref_index":20,"audited_at":"2026-07-31T11:31:58.953757Z","event_type":"pith.integrity.v1","detected_doi":"10.1103/PhysRevResearch.2.033234","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"14a6d2ddaa4e8bbb8c3687768ef39608cbb204608596f9efa004ab7205f382e4","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"Revealing structure-function relationships in functional flow networks via persistent homology","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":14339,"payload_sha256":"f9d5cb92c6dcddd1466f03d2879d61fec5d673131cf500532d1bb81f9849f452","signature_b64":null,"signing_key_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-31T11:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IaGFB2vxzS8zkCdxneso0L0MKadmwZHEnYQjqP1a8TxmLAUIciK6DxZ/rz9grmZ4sGkN/fOKJ2Rdej/yXwHlAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:31:14.803176Z"},"content_sha256":"e0a48f171be957d25f302da92aa80f57e40f0db96d98b85e2ffb4016850345bd","schema_version":"1.0","event_id":"sha256:e0a48f171be957d25f302da92aa80f57e40f0db96d98b85e2ffb4016850345bd"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:PF7ZC26U3ML2JLVBQTIC3UARIV","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1016/j.advwatres.2012.03.003 resolves to 'Pore-scale imaging and modelling'. A reader following the printed text alone cannot reach it.","snippet":"M. J. Blunt, B. Bijeljic, H. Dong, O. Gharbi, S. Iglauer, P. Mostaghimi, A. Paluszny, C. Pentland, Pore- scale imaging and modelling, Adv. Water Resour. 51 (2013) 197–216.doi:10.1016/j.advwatres. 2012.03.003","arxiv_id":"2607.24579","detector":"doi_compliance","evidence":{"ref_index":12,"verdict_class":"incontrovertible","resolved_title":"Pore-scale imaging and modelling","printed_excerpt":"10.1016/j.advwatres","reconstructed_doi":"10.1016/j.advwatres.2012.03.003"},"severity":"advisory","ref_index":12,"audited_at":"2026-07-31T11:31:58.953757Z","event_type":"pith.integrity.v1","detected_doi":"10.1016/j.advwatres.2012.03.003","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"911d4bbe2cdda5dd1d339265b1d15cc841afce187726aa50afe821b2cc211eaa","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"Pore-scale imaging and modelling","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":14338,"payload_sha256":"7b9ec786a01f235c6ffeae29a37c4a867facd40b20a2978e0404eea6151874ff","signature_b64":null,"signing_key_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-31T11:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"shqSFgaV8OUr6DV0jpIy+6YDg1wp+iO8UCYRWbtv3JUK5VWIVYQbqR4axlp8+mKyeYlHHXe/kiOijgl8p28+Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T21:31:14.803581Z"},"content_sha256":"a6217964b58b0c76919421efe05eeffc2aa52f37806b38cfd71a7d33de3ba7d4","schema_version":"1.0","event_id":"sha256:a6217964b58b0c76919421efe05eeffc2aa52f37806b38cfd71a7d33de3ba7d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PF7ZC26U3ML2JLVBQTIC3UARIV/bundle.json","state_url":"https://pith.science/pith/PF7ZC26U3ML2JLVBQTIC3UARIV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PF7ZC26U3ML2JLVBQTIC3UARIV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T21:31:14Z","links":{"resolver":"https://pith.science/pith/PF7ZC26U3ML2JLVBQTIC3UARIV","bundle":"https://pith.science/pith/PF7ZC26U3ML2JLVBQTIC3UARIV/bundle.json","state":"https://pith.science/pith/PF7ZC26U3ML2JLVBQTIC3UARIV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PF7ZC26U3ML2JLVBQTIC3UARIV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PF7ZC26U3ML2JLVBQTIC3UARIV","merge_version":"pith-open-graph-merge-v1","event_count":4,"valid_event_count":4,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"fe3fbc121794c2638e84c20e3f0006851c1f7e56af0acc684b4abd833534fea4","cross_cats_sorted":["cs.CV","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2026-07-27T15:48:24Z","title_canon_sha256":"708b6816b3e74a6e962a12d3b7b19d01ee4dd64b22b5a240581e41410fbf336b"},"schema_version":"1.0","source":{"id":"2607.24579","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24579","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24579v1","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24579","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"pith_short_12","alias_value":"PF7ZC26U3ML2","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"pith_short_16","alias_value":"PF7ZC26U3ML2JLVB","created_at":"2026-07-28T02:24:11Z"},{"alias_kind":"pith_short_8","alias_value":"PF7ZC26U","created_at":"2026-07-28T02:24:11Z"}],"graph_snapshots":[{"event_id":"sha256:b00dd8fb7dd28daba6bfff744c297480273906c0fa5151869d5161f4d74af107","target":"graph","created_at":"2026-07-28T02:24:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.24579/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When computing sub/super-level-set persistent homology (PH), the effect of noise may introduce millions of (short-lived) topological generators, presenting an obstacle to both the computation of PH of large 3D images, and any analysis of PH that incorporates the number of generators. As such, it is often necessary to denoise the data before computing its PH.\n  We analyze the PH of synthetic 3D images of porous media in the presence of spatially uncorrelated noise, and perform a comparative analysis of various topological measures (e.g. bottleneck distance, Wasserstein distance, persistence sta","authors_text":"Aakash Karlekar, Ebru Dagdelen, Jonathan Jaquette, Linda J. Cummings, Lou Kondic, Manav Arora, Matthew Illingsworth","cross_cats":["cs.CV","math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2026-07-27T15:48:24Z","title":"Denoising 3D images: robustness of persistent homology measures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24579","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3bf78b93ecf4746d0d1b8f1ae8eec2661859885f1b6145b09fba5d8b8a282090","target":"record","created_at":"2026-07-28T02:24:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fe3fbc121794c2638e84c20e3f0006851c1f7e56af0acc684b4abd833534fea4","cross_cats_sorted":["cs.CV","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2026-07-27T15:48:24Z","title_canon_sha256":"708b6816b3e74a6e962a12d3b7b19d01ee4dd64b22b5a240581e41410fbf336b"},"schema_version":"1.0","source":{"id":"2607.24579","kind":"arxiv","version":1}},"canonical_sha256":"797f916bd4db17a4aea184d02dd01145731dcc7cf0705ae45b4bf2e131357d96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"797f916bd4db17a4aea184d02dd01145731dcc7cf0705ae45b4bf2e131357d96","first_computed_at":"2026-07-28T02:24:11.167653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:24:11.167653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rdkNG8FcjcslUrh8+hZc9+e4HcXVPw7N1M40VAoFdgQXzpgAOmsffaEhWi5jZCXUp8yFgEeHNBdsSSi6olcmDg==","signature_status":"signed_v1","signed_at":"2026-07-28T02:24:11.168510Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24579","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:a6217964b58b0c76919421efe05eeffc2aa52f37806b38cfd71a7d33de3ba7d4","sha256:e0a48f171be957d25f302da92aa80f57e40f0db96d98b85e2ffb4016850345bd"]}],"invalid_events":[],"applied_event_ids":["sha256:3bf78b93ecf4746d0d1b8f1ae8eec2661859885f1b6145b09fba5d8b8a282090","sha256:b00dd8fb7dd28daba6bfff744c297480273906c0fa5151869d5161f4d74af107"],"state_sha256":"4370a51196069abe6cc1a68589087529757820e4e8e583ffed8438f946ec079a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FgfqG6iQwihBT0eCy/mpkSuDatRUBYtMqVUsFhuNh8p8SUlr9bEp4NbWPeg59XCc4eLHy1pzHjMET/+jJISYCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T21:31:14.806610Z","bundle_sha256":"e385d79f8aa7dd0c02080055b7c2eef7b803cb8fe6b7ba3c6a001a162082ec5f"}}