{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SEXL6H34GQ5FW2DR4I2NGG26DA","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":"c70801066bae25fbd06c458b0a0934add5c2e55c4cb1159097e3223b85ed0814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-08-20T10:17:06Z","title_canon_sha256":"c663eff18dd44bff81e68127c0a463e663464ed0eeba7332e9461d5dda13653b"},"schema_version":"1.0","source":{"id":"1808.06374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06374","created_at":"2026-05-18T00:07:45Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06374v1","created_at":"2026-05-18T00:07:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06374","created_at":"2026-05-18T00:07:45Z"},{"alias_kind":"pith_short_12","alias_value":"SEXL6H34GQ5F","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SEXL6H34GQ5FW2DR","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SEXL6H34","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:407bba2a0d14e052b4513c133bdac73c3cf6415eec0b69d29d9838445318afc8","target":"graph","created_at":"2026-05-18T00:07:45Z","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":"In this article we obtain an improved upper bound for the regularity of binomial edge ideals of trees.","authors_text":"A. V. Jayanthan, B. V. Raghavendra Rao, N. Narayanan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-08-20T10:17:06Z","title":"An upper bound for the regularity of binomial edge ideals of trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06374","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:dcc9205a0cf1a486fe47ca4ee715556cdec1f1aaf3042b207304b721f653d6eb","target":"record","created_at":"2026-05-18T00:07:45Z","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":"c70801066bae25fbd06c458b0a0934add5c2e55c4cb1159097e3223b85ed0814","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2018-08-20T10:17:06Z","title_canon_sha256":"c663eff18dd44bff81e68127c0a463e663464ed0eeba7332e9461d5dda13653b"},"schema_version":"1.0","source":{"id":"1808.06374","kind":"arxiv","version":1}},"canonical_sha256":"912ebf1f7c343a5b6871e234d31b5e18319672553f43b7cfc73909feacd129af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"912ebf1f7c343a5b6871e234d31b5e18319672553f43b7cfc73909feacd129af","first_computed_at":"2026-05-18T00:07:45.151507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:45.151507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z1pRbPBUx0HHJeWkYjCFuRkUIMwtWbNg0eO+g2n8fVP9RWXJXhEHHXNBaCq+O1j0gBxpTCnEjTmOAe2aMVYiBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:45.152103Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.06374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcc9205a0cf1a486fe47ca4ee715556cdec1f1aaf3042b207304b721f653d6eb","sha256:407bba2a0d14e052b4513c133bdac73c3cf6415eec0b69d29d9838445318afc8"],"state_sha256":"56eb25c4842f5d6c94c03d9e042e9fa9a6dbc894efc9ede0b70142df5c56e85e"}