{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6GE3U5IJQVNOR7OKTQHKJN67X3","short_pith_number":"pith:6GE3U5IJ","canonical_record":{"source":{"id":"1609.03394","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2016-09-09T05:06:34Z","cross_cats_sorted":[],"title_canon_sha256":"0e776ed020dff3750ec3f4800da8901fc9cd96fab9eb8f40f728c0e27a46e174","abstract_canon_sha256":"c98651fcb3a0b8f2c4087c5fb1426d697485e978dc7e591787507de0d9cd1092"},"schema_version":"1.0"},"canonical_sha256":"f189ba7509855ae8fdca9c0ea4b7dfbef27cd806c5cc5073f2e2d3da854f138e","source":{"kind":"arxiv","id":"1609.03394","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03394","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03394v1","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03394","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"6GE3U5IJQVNO","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6GE3U5IJQVNOR7OK","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6GE3U5IJ","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6GE3U5IJQVNOR7OKTQHKJN67X3","target":"record","payload":{"canonical_record":{"source":{"id":"1609.03394","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2016-09-09T05:06:34Z","cross_cats_sorted":[],"title_canon_sha256":"0e776ed020dff3750ec3f4800da8901fc9cd96fab9eb8f40f728c0e27a46e174","abstract_canon_sha256":"c98651fcb3a0b8f2c4087c5fb1426d697485e978dc7e591787507de0d9cd1092"},"schema_version":"1.0"},"canonical_sha256":"f189ba7509855ae8fdca9c0ea4b7dfbef27cd806c5cc5073f2e2d3da854f138e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:47.043585Z","signature_b64":"JSi3zk7betPnTz+ws8I9lACaCH5Re2UrjO9wyTy5OcHRkkcchf+JHPXHubNTtkYM3bHf5Yx80c61VGaaVyWRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f189ba7509855ae8fdca9c0ea4b7dfbef27cd806c5cc5073f2e2d3da854f138e","last_reissued_at":"2026-05-18T01:04:47.043111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:47.043111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.03394","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":"2026-05-18T01:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g3Zz12SjXb60M4CyVLKdroG5NVx0yRuH9t2Ha55MVPunnt5V1S6FZE74ujK/bYs37OPgKzi4qWl0DRQkPupWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:30:20.030005Z"},"content_sha256":"074a7e3ca9a9dc0cc2276c363721e6cd1359efc972f2519070b0836b747c7de6","schema_version":"1.0","event_id":"sha256:074a7e3ca9a9dc0cc2276c363721e6cd1359efc972f2519070b0836b747c7de6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6GE3U5IJQVNOR7OKTQHKJN67X3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Study on Clique Invariants of Jaco-type Graphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Johan Kok, M. Jerlin Seles, U. Mary","submitted_at":"2016-09-09T05:06:34Z","abstract_excerpt":"The first study related to this paper was on the notion of primitive holes. This paper reports on research in respect of clique parameters and related properties thereof within Jaco-type graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03394","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":"2026-05-18T01:04:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PJffoEWPQqv1rrYIrQNJjtTrssNLoDlv8kH5+PkmvjMkj2e1loEyP9n/9Q5vaED4Gij7Ib42m63HAxDvZ0vCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:30:20.030367Z"},"content_sha256":"0c146d2a59d545023d78daaa2636c72ba6116c5b86d4255c7db1dd45801ae415","schema_version":"1.0","event_id":"sha256:0c146d2a59d545023d78daaa2636c72ba6116c5b86d4255c7db1dd45801ae415"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6GE3U5IJQVNOR7OKTQHKJN67X3/bundle.json","state_url":"https://pith.science/pith/6GE3U5IJQVNOR7OKTQHKJN67X3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6GE3U5IJQVNOR7OKTQHKJN67X3/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":"2026-06-04T04:30:20Z","links":{"resolver":"https://pith.science/pith/6GE3U5IJQVNOR7OKTQHKJN67X3","bundle":"https://pith.science/pith/6GE3U5IJQVNOR7OKTQHKJN67X3/bundle.json","state":"https://pith.science/pith/6GE3U5IJQVNOR7OKTQHKJN67X3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6GE3U5IJQVNOR7OKTQHKJN67X3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6GE3U5IJQVNOR7OKTQHKJN67X3","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":"c98651fcb3a0b8f2c4087c5fb1426d697485e978dc7e591787507de0d9cd1092","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2016-09-09T05:06:34Z","title_canon_sha256":"0e776ed020dff3750ec3f4800da8901fc9cd96fab9eb8f40f728c0e27a46e174"},"schema_version":"1.0","source":{"id":"1609.03394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03394","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03394v1","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03394","created_at":"2026-05-18T01:04:47Z"},{"alias_kind":"pith_short_12","alias_value":"6GE3U5IJQVNO","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6GE3U5IJQVNOR7OK","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6GE3U5IJ","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:0c146d2a59d545023d78daaa2636c72ba6116c5b86d4255c7db1dd45801ae415","target":"graph","created_at":"2026-05-18T01:04:47Z","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":"The first study related to this paper was on the notion of primitive holes. This paper reports on research in respect of clique parameters and related properties thereof within Jaco-type graphs.","authors_text":"Johan Kok, M. Jerlin Seles, U. Mary","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2016-09-09T05:06:34Z","title":"A Study on Clique Invariants of Jaco-type Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03394","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":"sha256:074a7e3ca9a9dc0cc2276c363721e6cd1359efc972f2519070b0836b747c7de6","target":"record","created_at":"2026-05-18T01:04:47Z","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":"c98651fcb3a0b8f2c4087c5fb1426d697485e978dc7e591787507de0d9cd1092","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GM","submitted_at":"2016-09-09T05:06:34Z","title_canon_sha256":"0e776ed020dff3750ec3f4800da8901fc9cd96fab9eb8f40f728c0e27a46e174"},"schema_version":"1.0","source":{"id":"1609.03394","kind":"arxiv","version":1}},"canonical_sha256":"f189ba7509855ae8fdca9c0ea4b7dfbef27cd806c5cc5073f2e2d3da854f138e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f189ba7509855ae8fdca9c0ea4b7dfbef27cd806c5cc5073f2e2d3da854f138e","first_computed_at":"2026-05-18T01:04:47.043111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:47.043111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JSi3zk7betPnTz+ws8I9lACaCH5Re2UrjO9wyTy5OcHRkkcchf+JHPXHubNTtkYM3bHf5Yx80c61VGaaVyWRBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:47.043585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:074a7e3ca9a9dc0cc2276c363721e6cd1359efc972f2519070b0836b747c7de6","sha256:0c146d2a59d545023d78daaa2636c72ba6116c5b86d4255c7db1dd45801ae415"],"state_sha256":"d2345d97bbcc0c268ad80a09291570fb47473699fc263b9cf44e5bd1c3ab419d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tpLP7rRwySKhvPJ+N3bMpBMXlafvMebgfwQ7JbcqiJvzrbBTjOmhnTatYQBwAfiB7t05/To0RdCwPDMnY5b8Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:30:20.032408Z","bundle_sha256":"39d7058c7e1fb1ca7201932eb7e2f4006f7d1c99d4c0eeb53fed5b8c6eea2474"}}