{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TRYY5SMWK74JZITXEHUTPBTH7F","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":"743da1f534778299f91c506f9b18e75654ad28f21881309a3b2d2d7de15268c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-30T19:49:07Z","title_canon_sha256":"8666fcc1985c954747801e1046d7f2dbac05adbff64da8245d00065398737bef"},"schema_version":"1.0","source":{"id":"1808.10496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.10496","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1808.10496v1","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.10496","created_at":"2026-05-18T00:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"TRYY5SMWK74J","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TRYY5SMWK74JZITX","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TRYY5SMW","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:6670816b6ab6277b21609457d551da8ea973b1bdc57aa37f247d51634deb538a","target":"graph","created_at":"2026-05-18T00:05:36Z","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":"This work provides a thorough introduction to the field of gammoids and presents new results that are considered helpful for solving the problems of recognizing and coloring gammoids.","authors_text":"Immanuel Albrecht","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-30T19:49:07Z","title":"Contributions to the Problems of Recognizing and Coloring Gammoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.10496","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":"sha256:23c52698b5f5ee3164a3dcebfc6b37d08aedc4290b8c790dee6be7f726bb063d","target":"record","created_at":"2026-05-18T00:05:36Z","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":"743da1f534778299f91c506f9b18e75654ad28f21881309a3b2d2d7de15268c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-08-30T19:49:07Z","title_canon_sha256":"8666fcc1985c954747801e1046d7f2dbac05adbff64da8245d00065398737bef"},"schema_version":"1.0","source":{"id":"1808.10496","kind":"arxiv","version":1}},"canonical_sha256":"9c718ec99657f89ca27721e9378667f9534e1c807728ac44d23cd0ad2b8fd25b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c718ec99657f89ca27721e9378667f9534e1c807728ac44d23cd0ad2b8fd25b","first_computed_at":"2026-05-18T00:05:36.872715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:36.872715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ls0FJ9oebbr8s9cAmrpdR6wQBsgJzk6XXKFKElQeEGapUpT5/eMfRT4OGFDvhnd25pSz8fZ19sS8p5RlG1SBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:36.873086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.10496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:23c52698b5f5ee3164a3dcebfc6b37d08aedc4290b8c790dee6be7f726bb063d","sha256:6670816b6ab6277b21609457d551da8ea973b1bdc57aa37f247d51634deb538a"],"state_sha256":"efbda76d2518ee755bae854aa7712498504f0835b6b45dde484f795ed5c99579"}