{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GCEZPYGOAHWMOHL5FRLNYZIIJD","short_pith_number":"pith:GCEZPYGO","canonical_record":{"source":{"id":"2504.15420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-04-21T20:06:29Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"967e1d5cec7f66fa77cb2645699328ac5686b59f630ba5e6da9701d8596bc248","abstract_canon_sha256":"16ae09914e2fe6390a3fe7683f496927c8b36b59d4a78984f073807c9ee316db"},"schema_version":"1.0"},"canonical_sha256":"308997e0ce01ecc71d7d2c56dc650848d303c23d9e687a29854ac48a96afc460","source":{"kind":"arxiv","id":"2504.15420","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.15420","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"arxiv_version","alias_value":"2504.15420v1","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.15420","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"pith_short_12","alias_value":"GCEZPYGOAHWM","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"pith_short_16","alias_value":"GCEZPYGOAHWMOHL5","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"pith_short_8","alias_value":"GCEZPYGO","created_at":"2026-07-05T10:52:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GCEZPYGOAHWMOHL5FRLNYZIIJD","target":"record","payload":{"canonical_record":{"source":{"id":"2504.15420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-04-21T20:06:29Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"967e1d5cec7f66fa77cb2645699328ac5686b59f630ba5e6da9701d8596bc248","abstract_canon_sha256":"16ae09914e2fe6390a3fe7683f496927c8b36b59d4a78984f073807c9ee316db"},"schema_version":"1.0"},"canonical_sha256":"308997e0ce01ecc71d7d2c56dc650848d303c23d9e687a29854ac48a96afc460","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:52:24.236653Z","signature_b64":"8NQEDoUnQZBGipK7rk2ZhsvYKSJ821XSDPX41QAGGzZvhoYkjMPFvTcQf9oihWYp8B3dM/SLeXM5AxiSqGOICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"308997e0ce01ecc71d7d2c56dc650848d303c23d9e687a29854ac48a96afc460","last_reissued_at":"2026-07-05T10:52:24.236172Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:52:24.236172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.15420","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":"2026-07-05T10:52:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQVErjen/rhUWzoCQ+759ctdm4ta87AjDr4trJF3f0WVECzspfE9EVNB5wGKw5aqWPZQ+CWvtwPE8tnegIANDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:34:28.095155Z"},"content_sha256":"cb457459459bd4f89ae4e5375131dadd1ec87f253af9dcf0659a55dec3cc2762","schema_version":"1.0","event_id":"sha256:cb457459459bd4f89ae4e5375131dadd1ec87f253af9dcf0659a55dec3cc2762"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GCEZPYGOAHWMOHL5FRLNYZIIJD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GT","authors_text":"Antonio Alfieri, Chi Cheuk Tsang","submitted_at":"2025-04-21T20:06:29Z","abstract_excerpt":"We bring to light a new connection between dynamics and Heegaard Floer homology. On a closed 3-manifold $Y$ we consider a pseudo-Anosov flow $\\phi$ with no perfect fits with respect to its singularity locus $L \\subset Y$, or perhaps a larger collection of closed orbits. Using work of Agol and Gu\\'eritaud on veering branched surfaces we produce a chain complex computing the link Floer homology of $L$ in the framing specified by the degeneracy curves of the flow. Using work of Landry, Minsky, and Taylor we show that the generators of the chain complex correspond to certain closed multi-orbits of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15420","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/2504.15420/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":"2026-07-05T10:52:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mep3KXe7TdD1RSG+kFygKpTFZSNPihimnM2FC7tvmW1XknE74n7LD9TINzVgZ+U4HcExdsUiLi4nxQfPsaCxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T07:34:28.096261Z"},"content_sha256":"d869e75c00fd04085e058b295dec814d750da3f5c0ce30b81c453f36d519c73d","schema_version":"1.0","event_id":"sha256:d869e75c00fd04085e058b295dec814d750da3f5c0ce30b81c453f36d519c73d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GCEZPYGOAHWMOHL5FRLNYZIIJD/bundle.json","state_url":"https://pith.science/pith/GCEZPYGOAHWMOHL5FRLNYZIIJD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GCEZPYGOAHWMOHL5FRLNYZIIJD/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":"2026-08-17T07:34:28Z","links":{"resolver":"https://pith.science/pith/GCEZPYGOAHWMOHL5FRLNYZIIJD","bundle":"https://pith.science/pith/GCEZPYGOAHWMOHL5FRLNYZIIJD/bundle.json","state":"https://pith.science/pith/GCEZPYGOAHWMOHL5FRLNYZIIJD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GCEZPYGOAHWMOHL5FRLNYZIIJD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GCEZPYGOAHWMOHL5FRLNYZIIJD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"16ae09914e2fe6390a3fe7683f496927c8b36b59d4a78984f073807c9ee316db","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-04-21T20:06:29Z","title_canon_sha256":"967e1d5cec7f66fa77cb2645699328ac5686b59f630ba5e6da9701d8596bc248"},"schema_version":"1.0","source":{"id":"2504.15420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.15420","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"arxiv_version","alias_value":"2504.15420v1","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.15420","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"pith_short_12","alias_value":"GCEZPYGOAHWM","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"pith_short_16","alias_value":"GCEZPYGOAHWMOHL5","created_at":"2026-07-05T10:52:24Z"},{"alias_kind":"pith_short_8","alias_value":"GCEZPYGO","created_at":"2026-07-05T10:52:24Z"}],"graph_snapshots":[{"event_id":"sha256:d869e75c00fd04085e058b295dec814d750da3f5c0ce30b81c453f36d519c73d","target":"graph","created_at":"2026-07-05T10:52:24Z","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/2504.15420/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We bring to light a new connection between dynamics and Heegaard Floer homology. On a closed 3-manifold $Y$ we consider a pseudo-Anosov flow $\\phi$ with no perfect fits with respect to its singularity locus $L \\subset Y$, or perhaps a larger collection of closed orbits. Using work of Agol and Gu\\'eritaud on veering branched surfaces we produce a chain complex computing the link Floer homology of $L$ in the framing specified by the degeneracy curves of the flow. Using work of Landry, Minsky, and Taylor we show that the generators of the chain complex correspond to certain closed multi-orbits of","authors_text":"Antonio Alfieri, Chi Cheuk Tsang","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-04-21T20:06:29Z","title":"Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.15420","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:cb457459459bd4f89ae4e5375131dadd1ec87f253af9dcf0659a55dec3cc2762","target":"record","created_at":"2026-07-05T10:52:24Z","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":"16ae09914e2fe6390a3fe7683f496927c8b36b59d4a78984f073807c9ee316db","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2025-04-21T20:06:29Z","title_canon_sha256":"967e1d5cec7f66fa77cb2645699328ac5686b59f630ba5e6da9701d8596bc248"},"schema_version":"1.0","source":{"id":"2504.15420","kind":"arxiv","version":1}},"canonical_sha256":"308997e0ce01ecc71d7d2c56dc650848d303c23d9e687a29854ac48a96afc460","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"308997e0ce01ecc71d7d2c56dc650848d303c23d9e687a29854ac48a96afc460","first_computed_at":"2026-07-05T10:52:24.236172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:52:24.236172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8NQEDoUnQZBGipK7rk2ZhsvYKSJ821XSDPX41QAGGzZvhoYkjMPFvTcQf9oihWYp8B3dM/SLeXM5AxiSqGOICw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:52:24.236653Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.15420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb457459459bd4f89ae4e5375131dadd1ec87f253af9dcf0659a55dec3cc2762","sha256:d869e75c00fd04085e058b295dec814d750da3f5c0ce30b81c453f36d519c73d"],"state_sha256":"bf1b469fedcfd7d445433de1298f6e35bd8ddbf7890f1dcba52e4d331dfdb8eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DpvGS3cwY6RETOC+qtDr1xukFrjk4YS8W386RGDxulXz2zp6X8gJ6WevgaxJD5dCQmCMiaTtGrxRDKyoHk8dBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T07:34:28.122662Z","bundle_sha256":"0f691198b69473b38586e347ef8799ad4e7ff76192b516d8609dc14e4fee4e53"}}