{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:6VILJJXSL24H56Q55R3KLH2HL7","short_pith_number":"pith:6VILJJXS","canonical_record":{"source":{"id":"0807.1911","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-07-11T18:53:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"80a3c518b9232bc5e9ac27b15ca9fca0ad30672a073f319242252971a18f31b7","abstract_canon_sha256":"f38f6508c196b46a7f0bd3b2137f5705c3b98bb1aad9a9876560d724a7c2f303"},"schema_version":"1.0"},"canonical_sha256":"f550b4a6f25eb87efa1dec76a59f475fe96708b210455822834045ccab5e2a9f","source":{"kind":"arxiv","id":"0807.1911","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1911","created_at":"2026-05-18T04:21:12Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1911v2","created_at":"2026-05-18T04:21:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1911","created_at":"2026-05-18T04:21:12Z"},{"alias_kind":"pith_short_12","alias_value":"6VILJJXSL24H","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"6VILJJXSL24H56Q5","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"6VILJJXS","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:6VILJJXSL24H56Q55R3KLH2HL7","target":"record","payload":{"canonical_record":{"source":{"id":"0807.1911","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-07-11T18:53:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"80a3c518b9232bc5e9ac27b15ca9fca0ad30672a073f319242252971a18f31b7","abstract_canon_sha256":"f38f6508c196b46a7f0bd3b2137f5705c3b98bb1aad9a9876560d724a7c2f303"},"schema_version":"1.0"},"canonical_sha256":"f550b4a6f25eb87efa1dec76a59f475fe96708b210455822834045ccab5e2a9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:12.502083Z","signature_b64":"jh6XOeU3aZVunTCjplNpYS9Ru5Wrd7/fhs6Cp3ZmU/OB/RN8rhu69QOM6jchC5Uq2hsfbo+sIO5BJC2gryJ4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f550b4a6f25eb87efa1dec76a59f475fe96708b210455822834045ccab5e2a9f","last_reissued_at":"2026-05-18T04:21:12.501442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:12.501442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0807.1911","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:21:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZBbxTb23bcd8wJjOok/rTbMlKMK6yj0NmSrCBn7hHxXRQg9hhRArqUNOBLu6I5bucjlAtyagVS6w4i8C9WfMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:51:06.261222Z"},"content_sha256":"f4580119d3246b1c412908376ff2f24377340faed4c11812ab906e3838c613c5","schema_version":"1.0","event_id":"sha256:f4580119d3246b1c412908376ff2f24377340faed4c11812ab906e3838c613c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:6VILJJXSL24H56Q55R3KLH2HL7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"String orientations of simplicial homology manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AT","authors_text":"Jack Morava","submitted_at":"2008-07-11T18:53:36Z","abstract_excerpt":"Simplicial homology manifolds are proposed as an interesting class of geometric objects, more general than topological manifolds but still quite tractable, in which questions about the microstructure of space-time can be naturally formulated. Their string orientations are classified by $H^3$ with coefficients in an extension of the usual group of D-brane charges, by cobordism classes of homology three-spheres with trivial Rokhlin invariant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1911","kind":"arxiv","version":2},"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":"2026-05-18T04:21:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ImAhhMo4/jUfBbhq7LaJOW+9HFZ/oVklz2uPZ9SMPuFpYQlcXYX4DQYJ9qjaErPK6LnXp0Jg/0pUF/LRpWYuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T18:51:06.261855Z"},"content_sha256":"2480b2d8f312093aeb8105cdc08c65d96fec5ecea5793c5943fcbb91903437d4","schema_version":"1.0","event_id":"sha256:2480b2d8f312093aeb8105cdc08c65d96fec5ecea5793c5943fcbb91903437d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6VILJJXSL24H56Q55R3KLH2HL7/bundle.json","state_url":"https://pith.science/pith/6VILJJXSL24H56Q55R3KLH2HL7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6VILJJXSL24H56Q55R3KLH2HL7/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":"2026-05-30T18:51:06Z","links":{"resolver":"https://pith.science/pith/6VILJJXSL24H56Q55R3KLH2HL7","bundle":"https://pith.science/pith/6VILJJXSL24H56Q55R3KLH2HL7/bundle.json","state":"https://pith.science/pith/6VILJJXSL24H56Q55R3KLH2HL7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6VILJJXSL24H56Q55R3KLH2HL7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:6VILJJXSL24H56Q55R3KLH2HL7","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":"f38f6508c196b46a7f0bd3b2137f5705c3b98bb1aad9a9876560d724a7c2f303","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-07-11T18:53:36Z","title_canon_sha256":"80a3c518b9232bc5e9ac27b15ca9fca0ad30672a073f319242252971a18f31b7"},"schema_version":"1.0","source":{"id":"0807.1911","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1911","created_at":"2026-05-18T04:21:12Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1911v2","created_at":"2026-05-18T04:21:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1911","created_at":"2026-05-18T04:21:12Z"},{"alias_kind":"pith_short_12","alias_value":"6VILJJXSL24H","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"6VILJJXSL24H56Q5","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"6VILJJXS","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:2480b2d8f312093aeb8105cdc08c65d96fec5ecea5793c5943fcbb91903437d4","target":"graph","created_at":"2026-05-18T04:21:12Z","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":"Simplicial homology manifolds are proposed as an interesting class of geometric objects, more general than topological manifolds but still quite tractable, in which questions about the microstructure of space-time can be naturally formulated. Their string orientations are classified by $H^3$ with coefficients in an extension of the usual group of D-brane charges, by cobordism classes of homology three-spheres with trivial Rokhlin invariant.","authors_text":"Jack Morava","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-07-11T18:53:36Z","title":"String orientations of simplicial homology manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1911","kind":"arxiv","version":2},"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:f4580119d3246b1c412908376ff2f24377340faed4c11812ab906e3838c613c5","target":"record","created_at":"2026-05-18T04:21:12Z","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":"f38f6508c196b46a7f0bd3b2137f5705c3b98bb1aad9a9876560d724a7c2f303","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2008-07-11T18:53:36Z","title_canon_sha256":"80a3c518b9232bc5e9ac27b15ca9fca0ad30672a073f319242252971a18f31b7"},"schema_version":"1.0","source":{"id":"0807.1911","kind":"arxiv","version":2}},"canonical_sha256":"f550b4a6f25eb87efa1dec76a59f475fe96708b210455822834045ccab5e2a9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f550b4a6f25eb87efa1dec76a59f475fe96708b210455822834045ccab5e2a9f","first_computed_at":"2026-05-18T04:21:12.501442Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:12.501442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jh6XOeU3aZVunTCjplNpYS9Ru5Wrd7/fhs6Cp3ZmU/OB/RN8rhu69QOM6jchC5Uq2hsfbo+sIO5BJC2gryJ4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:12.502083Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.1911","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4580119d3246b1c412908376ff2f24377340faed4c11812ab906e3838c613c5","sha256:2480b2d8f312093aeb8105cdc08c65d96fec5ecea5793c5943fcbb91903437d4"],"state_sha256":"0e0a07adc0ea16be3bec5b4a16dbf57284e8242db53180f7a1c7dbfae4626995"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kdgbnZpVFRGnvu0k/iUNAAkaxz0s/gHJrxStsGPuG2cSHJExctjSt+4VbN8hZVAdgVXZEBHz4xAWrTcPRoYpCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T18:51:06.264813Z","bundle_sha256":"65680f74ff495012c9fae95ff4e98504c0f8169715966781ca3227aefd62b646"}}