{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:C7V2N4BIJ4FCHVPULCZOW5FZCL","short_pith_number":"pith:C7V2N4BI","canonical_record":{"source":{"id":"math/0511152","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2005-11-07T01:00:54Z","cross_cats_sorted":[],"title_canon_sha256":"6e75664c4633942df97a65fba2c0f57d56b22a4ad8868d9f122c0655dcedeefa","abstract_canon_sha256":"478aa1ec279537d3d3415a0bd300b34e4406219ed6f671ebe8f763b0fd1cb474"},"schema_version":"1.0"},"canonical_sha256":"17eba6f0284f0a23d5f458b2eb74b912d243d571b1666bbd52f956d9c19f0f34","source":{"kind":"arxiv","id":"math/0511152","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0511152","created_at":"2026-05-18T02:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"math/0511152v1","created_at":"2026-05-18T02:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0511152","created_at":"2026-05-18T02:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"C7V2N4BIJ4FC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"C7V2N4BIJ4FCHVPU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"C7V2N4BI","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:C7V2N4BIJ4FCHVPULCZOW5FZCL","target":"record","payload":{"canonical_record":{"source":{"id":"math/0511152","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2005-11-07T01:00:54Z","cross_cats_sorted":[],"title_canon_sha256":"6e75664c4633942df97a65fba2c0f57d56b22a4ad8868d9f122c0655dcedeefa","abstract_canon_sha256":"478aa1ec279537d3d3415a0bd300b34e4406219ed6f671ebe8f763b0fd1cb474"},"schema_version":"1.0"},"canonical_sha256":"17eba6f0284f0a23d5f458b2eb74b912d243d571b1666bbd52f956d9c19f0f34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:51.020501Z","signature_b64":"9dYFuWu6jyQFh0OwmpeBKjD0Mh9HKoynrHDF60iysfg9C1eWuolS/YEgCqZfHrkJF242J0AN6GKiR+RU5kLJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17eba6f0284f0a23d5f458b2eb74b912d243d571b1666bbd52f956d9c19f0f34","last_reissued_at":"2026-05-18T02:57:51.020014Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:51.020014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0511152","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":"2026-05-18T02:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XEdifnABWnsZIRnidOsV4/BuK+9uvlUJ/eyxqvUvY7C4Imp1Z8yvpfZGzEYKbTbxjIiedxs3k3IjfyJvcrxWDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:10:37.880694Z"},"content_sha256":"ec99c7a4b534b2819b8b8bf928b89ea1ce97dbb677299f1b56aea9fe1b7b54d2","schema_version":"1.0","event_id":"sha256:ec99c7a4b534b2819b8b8bf928b89ea1ce97dbb677299f1b56aea9fe1b7b54d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:C7V2N4BIJ4FCHVPULCZOW5FZCL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Seifert surfaces in open books, and a new coding algorithm for links","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Mikami Hirasawa, Rei Furihata, Tsuyoshi Kobayashi","submitted_at":"2005-11-07T01:00:54Z","abstract_excerpt":"We introduce a new standard form of a Seifert surface $F$. In that standard form, $F$ is obtained by successively plumbing flat annuli to a disk $D$, where the gluing regions are all in $D$. We show that any link has a Seifert surface in the standard form, and thereby present a new way of coding a link. We present an algorithm to read the code directly from a braid presentation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0511152","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":""},"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":"2026-05-18T02:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bcVoIEwMrSjlLwDdKpGVkYKs03n12kPiR0K39tLCXQyElibDQnfAE5nH5byYXk330vHRfv1pMlQCjqaANtV9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:10:37.881305Z"},"content_sha256":"77c3a01957f15a102ca65d2a8db180718b38e8258b3fd897f8726bed135f272e","schema_version":"1.0","event_id":"sha256:77c3a01957f15a102ca65d2a8db180718b38e8258b3fd897f8726bed135f272e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C7V2N4BIJ4FCHVPULCZOW5FZCL/bundle.json","state_url":"https://pith.science/pith/C7V2N4BIJ4FCHVPULCZOW5FZCL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C7V2N4BIJ4FCHVPULCZOW5FZCL/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":"2026-06-22T17:10:37Z","links":{"resolver":"https://pith.science/pith/C7V2N4BIJ4FCHVPULCZOW5FZCL","bundle":"https://pith.science/pith/C7V2N4BIJ4FCHVPULCZOW5FZCL/bundle.json","state":"https://pith.science/pith/C7V2N4BIJ4FCHVPULCZOW5FZCL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C7V2N4BIJ4FCHVPULCZOW5FZCL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:C7V2N4BIJ4FCHVPULCZOW5FZCL","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":"478aa1ec279537d3d3415a0bd300b34e4406219ed6f671ebe8f763b0fd1cb474","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2005-11-07T01:00:54Z","title_canon_sha256":"6e75664c4633942df97a65fba2c0f57d56b22a4ad8868d9f122c0655dcedeefa"},"schema_version":"1.0","source":{"id":"math/0511152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0511152","created_at":"2026-05-18T02:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"math/0511152v1","created_at":"2026-05-18T02:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0511152","created_at":"2026-05-18T02:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"C7V2N4BIJ4FC","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"C7V2N4BIJ4FCHVPU","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"C7V2N4BI","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:77c3a01957f15a102ca65d2a8db180718b38e8258b3fd897f8726bed135f272e","target":"graph","created_at":"2026-05-18T02:57:51Z","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"},"paper":{"abstract_excerpt":"We introduce a new standard form of a Seifert surface $F$. In that standard form, $F$ is obtained by successively plumbing flat annuli to a disk $D$, where the gluing regions are all in $D$. We show that any link has a Seifert surface in the standard form, and thereby present a new way of coding a link. We present an algorithm to read the code directly from a braid presentation.","authors_text":"Mikami Hirasawa, Rei Furihata, Tsuyoshi Kobayashi","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2005-11-07T01:00:54Z","title":"Seifert surfaces in open books, and a new coding algorithm for links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0511152","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:ec99c7a4b534b2819b8b8bf928b89ea1ce97dbb677299f1b56aea9fe1b7b54d2","target":"record","created_at":"2026-05-18T02:57:51Z","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":"478aa1ec279537d3d3415a0bd300b34e4406219ed6f671ebe8f763b0fd1cb474","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2005-11-07T01:00:54Z","title_canon_sha256":"6e75664c4633942df97a65fba2c0f57d56b22a4ad8868d9f122c0655dcedeefa"},"schema_version":"1.0","source":{"id":"math/0511152","kind":"arxiv","version":1}},"canonical_sha256":"17eba6f0284f0a23d5f458b2eb74b912d243d571b1666bbd52f956d9c19f0f34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17eba6f0284f0a23d5f458b2eb74b912d243d571b1666bbd52f956d9c19f0f34","first_computed_at":"2026-05-18T02:57:51.020014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:51.020014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9dYFuWu6jyQFh0OwmpeBKjD0Mh9HKoynrHDF60iysfg9C1eWuolS/YEgCqZfHrkJF242J0AN6GKiR+RU5kLJBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:51.020501Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0511152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec99c7a4b534b2819b8b8bf928b89ea1ce97dbb677299f1b56aea9fe1b7b54d2","sha256:77c3a01957f15a102ca65d2a8db180718b38e8258b3fd897f8726bed135f272e"],"state_sha256":"475bf1931d4ab015570c0512c5e9e79775a4e0df050af5aaa763e981bfd9a74d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZY1JwzcbW/RnXlhkUeMfRwch6olnvNO8mwCxQ4NHhrtCNlm0uM2Qtn8FdUcDIqEuloR6HTpWV6tFiHF08ilQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T17:10:37.884342Z","bundle_sha256":"be7e8b14aae14271bc5352e160b1b419220db14ed8f58c1d2c5cc5b97b5c23e0"}}