{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YVYRDDSXQRRYXVP4LWM3QCI2Q7","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":"0050ca68d8f5468efc731c6ddebd0b7f4ffdfca70580562cb0aa81a5302ed8e9","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-08T15:33:25Z","title_canon_sha256":"213519e2e8bdadb0ee8cc4b5875e75866e92335b483cbf851917bf89a3882b2c"},"schema_version":"1.0","source":{"id":"1708.02523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02523","created_at":"2026-05-18T00:38:24Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02523v1","created_at":"2026-05-18T00:38:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02523","created_at":"2026-05-18T00:38:24Z"},{"alias_kind":"pith_short_12","alias_value":"YVYRDDSXQRRY","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YVYRDDSXQRRYXVP4","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YVYRDDSX","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:5f485298772b0ae5da1b5dc981670c735e04252852ffdeaf134c445a1a4099ca","target":"graph","created_at":"2026-05-18T00:38:24Z","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"},"paper":{"abstract_excerpt":"We construct a family of pairs of non-isotopic symplectic surfaces in the standard symplectic $4$-disk such that they are bounded by the same transverse knot in the standard contact $3$-sphere and fundamental groups of their complements are isomorphic. In the appendix, we prove explicitly that one can obtain a symplectic surface in the standard symplectic $4$-disk from a braided surface in a bidisk.","authors_text":"Takahiro Oba","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-08T15:33:25Z","title":"Surfaces in $D^4$ with the same boundary and fundamental group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02523","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:eadca7db4953eef62cb968de1ed7a7fc1a215288be070a49266bd119531df009","target":"record","created_at":"2026-05-18T00:38:24Z","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":"0050ca68d8f5468efc731c6ddebd0b7f4ffdfca70580562cb0aa81a5302ed8e9","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-08T15:33:25Z","title_canon_sha256":"213519e2e8bdadb0ee8cc4b5875e75866e92335b483cbf851917bf89a3882b2c"},"schema_version":"1.0","source":{"id":"1708.02523","kind":"arxiv","version":1}},"canonical_sha256":"c571118e5784638bd5fc5d99b8091a87fb398e820e65f8805ec88fa64db035ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c571118e5784638bd5fc5d99b8091a87fb398e820e65f8805ec88fa64db035ce","first_computed_at":"2026-05-18T00:38:24.035893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:24.035893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"unAE/P9sZPxr6xJBxQttZH+/PUxtrOycM3HRv1E2CUeznoG+51/wF20aD46ALuny6RO8Ja73Tv6Ui5ihdOhNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:24.036612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eadca7db4953eef62cb968de1ed7a7fc1a215288be070a49266bd119531df009","sha256:5f485298772b0ae5da1b5dc981670c735e04252852ffdeaf134c445a1a4099ca"],"state_sha256":"b0edb7e53e81e9257f5f550d62978f00d97ddd5e898a1ee6097457548b0782fe"}