{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VAHONML7EAPQBSKCPTGSMPAXC3","short_pith_number":"pith:VAHONML7","canonical_record":{"source":{"id":"1704.00395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-03T00:44:22Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"62b120f40f014c268fb8e737a0988a29d750e847924c873530ae7437fceb5a35","abstract_canon_sha256":"48038222e8f08253721ff267ce340e4bb3fa8f4b2b7b09e6341d9ac815877d7b"},"schema_version":"1.0"},"canonical_sha256":"a80ee6b17f201f00c9427ccd263c1716e1e4e9c2b21d8f0af29bc90281e2a827","source":{"kind":"arxiv","id":"1704.00395","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00395","created_at":"2026-05-18T00:47:24Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00395v1","created_at":"2026-05-18T00:47:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00395","created_at":"2026-05-18T00:47:24Z"},{"alias_kind":"pith_short_12","alias_value":"VAHONML7EAPQ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VAHONML7EAPQBSKC","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VAHONML7","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VAHONML7EAPQBSKCPTGSMPAXC3","target":"record","payload":{"canonical_record":{"source":{"id":"1704.00395","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-03T00:44:22Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"62b120f40f014c268fb8e737a0988a29d750e847924c873530ae7437fceb5a35","abstract_canon_sha256":"48038222e8f08253721ff267ce340e4bb3fa8f4b2b7b09e6341d9ac815877d7b"},"schema_version":"1.0"},"canonical_sha256":"a80ee6b17f201f00c9427ccd263c1716e1e4e9c2b21d8f0af29bc90281e2a827","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:24.574700Z","signature_b64":"R3vWODy1vB5TEH0phRZ9utF7C9UNs98XAIT0TFs2mOIA70QuV7h+3hR843VKhnB53VZA+XA+pBE487yUvDJFBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a80ee6b17f201f00c9427ccd263c1716e1e4e9c2b21d8f0af29bc90281e2a827","last_reissued_at":"2026-05-18T00:47:24.573866Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:24.573866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.00395","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":"2026-05-18T00:47:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JQEJ0X1e3tGt7B/vrViAQFgm8CWiDWYZ2gajAh3FXYuShXyN3ivlOADIvgwzGvg/NrqjqFAX5IdYCEvnYODUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:54:48.003488Z"},"content_sha256":"7b66afc2d4deb7d2155bc905bc3c8b9798ee2dfc1ad8e5a908cd6782ba8ea1c8","schema_version":"1.0","event_id":"sha256:7b66afc2d4deb7d2155bc905bc3c8b9798ee2dfc1ad8e5a908cd6782ba8ea1c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VAHONML7EAPQBSKCPTGSMPAXC3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Message-Passing Algorithm for Graph Isomorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.DS","authors_text":"Mohamed Mansour","submitted_at":"2017-04-03T00:44:22Z","abstract_excerpt":"A message-passing procedure for solving the graph isomorphism problem is proposed. The procedure resembles the belief-propagation algorithm in the context of graphical models inference and LDPC decoding. To enable the algorithm, the input graphs are transformed into intermediate canonical representations of bipartite graphs. The matching procedure injects specially designed input patterns to the canonical graphs and runs a message-passing algorithm to generate two output fingerprints that are matched if and only if the input graphs are isomorphic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00395","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":"2026-05-18T00:47:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UU/W2hWXBB1OU2l1h4AUYqsqOYKCu50Ol+MjxJgI0IynfegL2BGBAqkiVw0JGqG7yRmE8hMbpEjhtsAI+86OBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:54:48.004150Z"},"content_sha256":"41fe3f44aebb4cc39982b49149efae3e826c161c5e1150ad88445fe5f9aec09a","schema_version":"1.0","event_id":"sha256:41fe3f44aebb4cc39982b49149efae3e826c161c5e1150ad88445fe5f9aec09a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VAHONML7EAPQBSKCPTGSMPAXC3/bundle.json","state_url":"https://pith.science/pith/VAHONML7EAPQBSKCPTGSMPAXC3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VAHONML7EAPQBSKCPTGSMPAXC3/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":"2026-06-06T18:54:48Z","links":{"resolver":"https://pith.science/pith/VAHONML7EAPQBSKCPTGSMPAXC3","bundle":"https://pith.science/pith/VAHONML7EAPQBSKCPTGSMPAXC3/bundle.json","state":"https://pith.science/pith/VAHONML7EAPQBSKCPTGSMPAXC3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VAHONML7EAPQBSKCPTGSMPAXC3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VAHONML7EAPQBSKCPTGSMPAXC3","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":"48038222e8f08253721ff267ce340e4bb3fa8f4b2b7b09e6341d9ac815877d7b","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-03T00:44:22Z","title_canon_sha256":"62b120f40f014c268fb8e737a0988a29d750e847924c873530ae7437fceb5a35"},"schema_version":"1.0","source":{"id":"1704.00395","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00395","created_at":"2026-05-18T00:47:24Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00395v1","created_at":"2026-05-18T00:47:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00395","created_at":"2026-05-18T00:47:24Z"},{"alias_kind":"pith_short_12","alias_value":"VAHONML7EAPQ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VAHONML7EAPQBSKC","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VAHONML7","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:41fe3f44aebb4cc39982b49149efae3e826c161c5e1150ad88445fe5f9aec09a","target":"graph","created_at":"2026-05-18T00:47:24Z","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":"A message-passing procedure for solving the graph isomorphism problem is proposed. The procedure resembles the belief-propagation algorithm in the context of graphical models inference and LDPC decoding. To enable the algorithm, the input graphs are transformed into intermediate canonical representations of bipartite graphs. The matching procedure injects specially designed input patterns to the canonical graphs and runs a message-passing algorithm to generate two output fingerprints that are matched if and only if the input graphs are isomorphic.","authors_text":"Mohamed Mansour","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-03T00:44:22Z","title":"A Message-Passing Algorithm for Graph Isomorphism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00395","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":"sha256:7b66afc2d4deb7d2155bc905bc3c8b9798ee2dfc1ad8e5a908cd6782ba8ea1c8","target":"record","created_at":"2026-05-18T00:47:24Z","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":"48038222e8f08253721ff267ce340e4bb3fa8f4b2b7b09e6341d9ac815877d7b","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2017-04-03T00:44:22Z","title_canon_sha256":"62b120f40f014c268fb8e737a0988a29d750e847924c873530ae7437fceb5a35"},"schema_version":"1.0","source":{"id":"1704.00395","kind":"arxiv","version":1}},"canonical_sha256":"a80ee6b17f201f00c9427ccd263c1716e1e4e9c2b21d8f0af29bc90281e2a827","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a80ee6b17f201f00c9427ccd263c1716e1e4e9c2b21d8f0af29bc90281e2a827","first_computed_at":"2026-05-18T00:47:24.573866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:24.573866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R3vWODy1vB5TEH0phRZ9utF7C9UNs98XAIT0TFs2mOIA70QuV7h+3hR843VKhnB53VZA+XA+pBE487yUvDJFBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:24.574700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.00395","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b66afc2d4deb7d2155bc905bc3c8b9798ee2dfc1ad8e5a908cd6782ba8ea1c8","sha256:41fe3f44aebb4cc39982b49149efae3e826c161c5e1150ad88445fe5f9aec09a"],"state_sha256":"fc086ce7460f096f4870c692e1213887d575e8cb6af25b0b0d313aa7b291894c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5xd76k2o9zk/KozGwzT01P4Ho2ro5vFrPbGLZLIHEiVkrM5Xw/WFDCWUbQiw96fCjnrvYeL/zpt+12mSyNEfCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:54:48.007654Z","bundle_sha256":"03180c7c033fec2ed674d708db35d422b9575d3ceedce4336e9b6c8d79da187f"}}