{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XPNN2OFSBWC6KTKSMU7YR5MXVB","short_pith_number":"pith:XPNN2OFS","canonical_record":{"source":{"id":"1410.4869","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-17T21:19:51Z","cross_cats_sorted":["math.CO","math.GN","math.RT"],"title_canon_sha256":"f786f74e9cd628869f2bb2a7cc880e0b94939e1fee6b55b2145d44daaa5e428b","abstract_canon_sha256":"9ee6d06b09d363dec8194bb4ececbb2aec31f1dc763a7065fa3366d0f0f1a20b"},"schema_version":"1.0"},"canonical_sha256":"bbdadd38b20d85e54d52653f88f597a865b2252d65c5aa064364d8ec07187544","source":{"kind":"arxiv","id":"1410.4869","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4869","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4869v1","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4869","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"XPNN2OFSBWC6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XPNN2OFSBWC6KTKS","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XPNN2OFS","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XPNN2OFSBWC6KTKSMU7YR5MXVB","target":"record","payload":{"canonical_record":{"source":{"id":"1410.4869","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-17T21:19:51Z","cross_cats_sorted":["math.CO","math.GN","math.RT"],"title_canon_sha256":"f786f74e9cd628869f2bb2a7cc880e0b94939e1fee6b55b2145d44daaa5e428b","abstract_canon_sha256":"9ee6d06b09d363dec8194bb4ececbb2aec31f1dc763a7065fa3366d0f0f1a20b"},"schema_version":"1.0"},"canonical_sha256":"bbdadd38b20d85e54d52653f88f597a865b2252d65c5aa064364d8ec07187544","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:47.584562Z","signature_b64":"ARseQw8viL2hrcrV9zog+SBNakjKKp+FOqJUhido9gw9fvMBH6FR57ruwDxSvXvGogp2nUAa5tPoe2nOeglkDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbdadd38b20d85e54d52653f88f597a865b2252d65c5aa064364d8ec07187544","last_reissued_at":"2026-05-18T02:39:47.584092Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:47.584092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.4869","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":"2026-05-18T02:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mXLXnm0Kkz7vsHWutKvgKQ/4ncW1dR4EUFQpKZLyBhuzowsifL7FvqNKUeIyKoE4E/qsXEvGt46NqW/O6pHfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:17:56.149370Z"},"content_sha256":"b3922697a62816c0618628eee880d6b8dea8ab8d6a1eee7211dd11c3328f6025","schema_version":"1.0","event_id":"sha256:b3922697a62816c0618628eee880d6b8dea8ab8d6a1eee7211dd11c3328f6025"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XPNN2OFSBWC6KTKSMU7YR5MXVB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proceedings of the 4th annual Underrepresented Students in Topology and Algebra Research Symposium (USTARS 2014)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.GN","math.RT"],"primary_cat":"math.AC","authors_text":"Candice Price, Erik Insko, Garrett Jones, Shannon Talbott, Syvillia Averett, USTARS Organizing Committee: Jeannine Abiva","submitted_at":"2014-10-17T21:19:51Z","abstract_excerpt":"This volume represents the proceedings of the 4th annual meetings of the Underrepresented Students in Topology and Algebra Research Symposium (USTARS 2014), held on 11-13 April 2014 in Berkeley, California."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4869","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":"2026-05-18T02:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vWQg6Ow3WTGuVFmMC/nMm1KCGfSLeZuLAYEEQwkn3xzYplDziX+8duq+C1xH0bF6C072pMxI31JkMh4xvnsuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T11:17:56.150037Z"},"content_sha256":"b8f48f8518bcd581830be0d09e91e39733a5b9727139e9fccf936b518b9d977b","schema_version":"1.0","event_id":"sha256:b8f48f8518bcd581830be0d09e91e39733a5b9727139e9fccf936b518b9d977b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPNN2OFSBWC6KTKSMU7YR5MXVB/bundle.json","state_url":"https://pith.science/pith/XPNN2OFSBWC6KTKSMU7YR5MXVB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPNN2OFSBWC6KTKSMU7YR5MXVB/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":"2026-06-11T11:17:56Z","links":{"resolver":"https://pith.science/pith/XPNN2OFSBWC6KTKSMU7YR5MXVB","bundle":"https://pith.science/pith/XPNN2OFSBWC6KTKSMU7YR5MXVB/bundle.json","state":"https://pith.science/pith/XPNN2OFSBWC6KTKSMU7YR5MXVB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPNN2OFSBWC6KTKSMU7YR5MXVB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XPNN2OFSBWC6KTKSMU7YR5MXVB","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":"9ee6d06b09d363dec8194bb4ececbb2aec31f1dc763a7065fa3366d0f0f1a20b","cross_cats_sorted":["math.CO","math.GN","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-17T21:19:51Z","title_canon_sha256":"f786f74e9cd628869f2bb2a7cc880e0b94939e1fee6b55b2145d44daaa5e428b"},"schema_version":"1.0","source":{"id":"1410.4869","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4869","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4869v1","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4869","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"XPNN2OFSBWC6","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XPNN2OFSBWC6KTKS","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XPNN2OFS","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:b8f48f8518bcd581830be0d09e91e39733a5b9727139e9fccf936b518b9d977b","target":"graph","created_at":"2026-05-18T02:39:47Z","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":"This volume represents the proceedings of the 4th annual meetings of the Underrepresented Students in Topology and Algebra Research Symposium (USTARS 2014), held on 11-13 April 2014 in Berkeley, California.","authors_text":"Candice Price, Erik Insko, Garrett Jones, Shannon Talbott, Syvillia Averett, USTARS Organizing Committee: Jeannine Abiva","cross_cats":["math.CO","math.GN","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-17T21:19:51Z","title":"Proceedings of the 4th annual Underrepresented Students in Topology and Algebra Research Symposium (USTARS 2014)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4869","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:b3922697a62816c0618628eee880d6b8dea8ab8d6a1eee7211dd11c3328f6025","target":"record","created_at":"2026-05-18T02:39:47Z","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":"9ee6d06b09d363dec8194bb4ececbb2aec31f1dc763a7065fa3366d0f0f1a20b","cross_cats_sorted":["math.CO","math.GN","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-10-17T21:19:51Z","title_canon_sha256":"f786f74e9cd628869f2bb2a7cc880e0b94939e1fee6b55b2145d44daaa5e428b"},"schema_version":"1.0","source":{"id":"1410.4869","kind":"arxiv","version":1}},"canonical_sha256":"bbdadd38b20d85e54d52653f88f597a865b2252d65c5aa064364d8ec07187544","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbdadd38b20d85e54d52653f88f597a865b2252d65c5aa064364d8ec07187544","first_computed_at":"2026-05-18T02:39:47.584092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:47.584092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ARseQw8viL2hrcrV9zog+SBNakjKKp+FOqJUhido9gw9fvMBH6FR57ruwDxSvXvGogp2nUAa5tPoe2nOeglkDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:47.584562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4869","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3922697a62816c0618628eee880d6b8dea8ab8d6a1eee7211dd11c3328f6025","sha256:b8f48f8518bcd581830be0d09e91e39733a5b9727139e9fccf936b518b9d977b"],"state_sha256":"9a76af77021e2b2b182c03731bf1625c83b71147933cde465e36db5662ff2024"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j8G08i0xFQDuRKvWbymvvmV9IBMVrJVoASTSBsZCvw3ji+l2J2HyPulu8Azdv3l2ePWWjGhDv+VRhcZBUQdABQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T11:17:56.153510Z","bundle_sha256":"c8f000e0474132bb345916dadf51e6ebf0b04b0ac12a76dc10ae2fc2f42a659c"}}