{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:V7ONM2NWAPOGIWCZJ2ZJDQWBAP","short_pith_number":"pith:V7ONM2NW","canonical_record":{"source":{"id":"1708.03208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-10T13:35:55Z","cross_cats_sorted":[],"title_canon_sha256":"8c57d281e6e6bf60180b83fb3ada2fe30ee4f6a52fbc8c89651696bc6a798f69","abstract_canon_sha256":"0ef6d2ec972a3b4cfa42876ca0964cd57cd75f9b0f0bb2e8d6fec86a1c6d2122"},"schema_version":"1.0"},"canonical_sha256":"afdcd669b603dc6458594eb291c2c103d0907e257454f0453dafd82183025252","source":{"kind":"arxiv","id":"1708.03208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03208","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03208v1","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03208","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"V7ONM2NWAPOG","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V7ONM2NWAPOGIWCZ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V7ONM2NW","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:V7ONM2NWAPOGIWCZJ2ZJDQWBAP","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-10T13:35:55Z","cross_cats_sorted":[],"title_canon_sha256":"8c57d281e6e6bf60180b83fb3ada2fe30ee4f6a52fbc8c89651696bc6a798f69","abstract_canon_sha256":"0ef6d2ec972a3b4cfa42876ca0964cd57cd75f9b0f0bb2e8d6fec86a1c6d2122"},"schema_version":"1.0"},"canonical_sha256":"afdcd669b603dc6458594eb291c2c103d0907e257454f0453dafd82183025252","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:14.482498Z","signature_b64":"nPY4cimq0m8miMbvRASCNX3Zgybt8kMM7murEL2JPhYgR/XUdl8tinNtC+JVBLOflVaPZhk6knUPuS/r7supDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afdcd669b603dc6458594eb291c2c103d0907e257454f0453dafd82183025252","last_reissued_at":"2026-05-18T00:38:14.481882Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:14.481882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03208","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":"2026-05-18T00:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+F+LPBgr4+qxaIiS8HwfFELa56lcbAkP2nAk7QDxNx+LBVZU8s9hREXMBFFOSoaI6hFRzwEcBkSxGGtxEV+WBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:02:53.721652Z"},"content_sha256":"ae4f44443c4ce28fcf0b7babe6c808a8b264b58955cfbcba1b8ada9ae0ccbed7","schema_version":"1.0","event_id":"sha256:ae4f44443c4ce28fcf0b7babe6c808a8b264b58955cfbcba1b8ada9ae0ccbed7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:V7ONM2NWAPOGIWCZJ2ZJDQWBAP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isotopy of surfaces in 4-manifolds after a single stabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Daniel Ruberman, Dave Auckly, Hannah Schwartz, Hee Jung Kim, Paul Melvin","submitted_at":"2017-08-10T13:35:55Z","abstract_excerpt":"Any two homologous surfaces of the same genus embedded in a smooth 4-manifold X with simply-connected complements are shown to be smoothly isotopic in the connected sum of X and the product of a 2-sphere with itself, if the surfaces are ordinary, and in the connected sum of X with the non-trivial sphere bundle over the sphere if they are characteristic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03208","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":"2026-05-18T00:38:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cBTaxiF9eDf7XDUfILaucb+2cT9QiohzzVowis0Qot0D4YszaruMcGtwK52d4jwhva7mUGuNLfvXYOd//XfQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:02:53.721999Z"},"content_sha256":"7b20c04b15e730b9753c88d3756945eddeeb504bfb1caca6e07e4159fcf8cba5","schema_version":"1.0","event_id":"sha256:7b20c04b15e730b9753c88d3756945eddeeb504bfb1caca6e07e4159fcf8cba5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V7ONM2NWAPOGIWCZJ2ZJDQWBAP/bundle.json","state_url":"https://pith.science/pith/V7ONM2NWAPOGIWCZJ2ZJDQWBAP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V7ONM2NWAPOGIWCZJ2ZJDQWBAP/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":"2026-06-11T23:02:53Z","links":{"resolver":"https://pith.science/pith/V7ONM2NWAPOGIWCZJ2ZJDQWBAP","bundle":"https://pith.science/pith/V7ONM2NWAPOGIWCZJ2ZJDQWBAP/bundle.json","state":"https://pith.science/pith/V7ONM2NWAPOGIWCZJ2ZJDQWBAP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V7ONM2NWAPOGIWCZJ2ZJDQWBAP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V7ONM2NWAPOGIWCZJ2ZJDQWBAP","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":"0ef6d2ec972a3b4cfa42876ca0964cd57cd75f9b0f0bb2e8d6fec86a1c6d2122","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-10T13:35:55Z","title_canon_sha256":"8c57d281e6e6bf60180b83fb3ada2fe30ee4f6a52fbc8c89651696bc6a798f69"},"schema_version":"1.0","source":{"id":"1708.03208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03208","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03208v1","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03208","created_at":"2026-05-18T00:38:14Z"},{"alias_kind":"pith_short_12","alias_value":"V7ONM2NWAPOG","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V7ONM2NWAPOGIWCZ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V7ONM2NW","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:7b20c04b15e730b9753c88d3756945eddeeb504bfb1caca6e07e4159fcf8cba5","target":"graph","created_at":"2026-05-18T00:38:14Z","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":"Any two homologous surfaces of the same genus embedded in a smooth 4-manifold X with simply-connected complements are shown to be smoothly isotopic in the connected sum of X and the product of a 2-sphere with itself, if the surfaces are ordinary, and in the connected sum of X with the non-trivial sphere bundle over the sphere if they are characteristic.","authors_text":"Daniel Ruberman, Dave Auckly, Hannah Schwartz, Hee Jung Kim, Paul Melvin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-10T13:35:55Z","title":"Isotopy of surfaces in 4-manifolds after a single stabilization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03208","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:ae4f44443c4ce28fcf0b7babe6c808a8b264b58955cfbcba1b8ada9ae0ccbed7","target":"record","created_at":"2026-05-18T00:38:14Z","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":"0ef6d2ec972a3b4cfa42876ca0964cd57cd75f9b0f0bb2e8d6fec86a1c6d2122","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-10T13:35:55Z","title_canon_sha256":"8c57d281e6e6bf60180b83fb3ada2fe30ee4f6a52fbc8c89651696bc6a798f69"},"schema_version":"1.0","source":{"id":"1708.03208","kind":"arxiv","version":1}},"canonical_sha256":"afdcd669b603dc6458594eb291c2c103d0907e257454f0453dafd82183025252","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afdcd669b603dc6458594eb291c2c103d0907e257454f0453dafd82183025252","first_computed_at":"2026-05-18T00:38:14.481882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:14.481882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nPY4cimq0m8miMbvRASCNX3Zgybt8kMM7murEL2JPhYgR/XUdl8tinNtC+JVBLOflVaPZhk6knUPuS/r7supDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:14.482498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae4f44443c4ce28fcf0b7babe6c808a8b264b58955cfbcba1b8ada9ae0ccbed7","sha256:7b20c04b15e730b9753c88d3756945eddeeb504bfb1caca6e07e4159fcf8cba5"],"state_sha256":"129677c9286223c545a066dc014ca027e6b83017985cddeb798dd2fc75b969dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oJry8PcFSB6PRc6ujirioXXirET/oFvh3MQ+uo9KdDLC9RblTIPIboJw8RSUS8IfeBTx/22mRtytcoBeASeJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:02:53.724112Z","bundle_sha256":"449f44801aa5a43190fb04a94d7d183fcee958a616a4623d2d2c76bba07d6e39"}}