{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WPTBDPLJFXTCCFTKRZT6R3K2X5","short_pith_number":"pith:WPTBDPLJ","canonical_record":{"source":{"id":"1603.00112","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-01T02:00:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0a933a5cb8ebe0d15d84b71ea247be544dd14d4a38de371e988ddf8fa3001c32","abstract_canon_sha256":"8dc974b6af22fe0b1077d255a9dc89ce91496088fd9eeb7ce886f23f459b618e"},"schema_version":"1.0"},"canonical_sha256":"b3e611bd692de621166a8e67e8ed5abf4502787179ff55e0c63c2d6d02700e3e","source":{"kind":"arxiv","id":"1603.00112","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00112","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00112v1","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00112","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"pith_short_12","alias_value":"WPTBDPLJFXTC","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WPTBDPLJFXTCCFTK","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WPTBDPLJ","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WPTBDPLJFXTCCFTKRZT6R3K2X5","target":"record","payload":{"canonical_record":{"source":{"id":"1603.00112","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-01T02:00:08Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0a933a5cb8ebe0d15d84b71ea247be544dd14d4a38de371e988ddf8fa3001c32","abstract_canon_sha256":"8dc974b6af22fe0b1077d255a9dc89ce91496088fd9eeb7ce886f23f459b618e"},"schema_version":"1.0"},"canonical_sha256":"b3e611bd692de621166a8e67e8ed5abf4502787179ff55e0c63c2d6d02700e3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:47.918373Z","signature_b64":"LWkwA4wnt81TaRXgzd3tNk1sIUrXM2jhrhssP5JTftOkXK+jlLK9nQYkUIof/Sd1svMP9TQ+qBu6t+qKOrLWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3e611bd692de621166a8e67e8ed5abf4502787179ff55e0c63c2d6d02700e3e","last_reissued_at":"2026-05-18T00:50:47.917685Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:47.917685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.00112","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":"2026-05-18T00:50:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1F49vuIUTEMjvMeomgPNXD1mO+laJ0eL4FDTVAszZk10IchdBtuNSFS/cttQ8IBY641MeWsNUcVtrScVsM/kCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:08:49.387733Z"},"content_sha256":"8963c4fbc3183ac88f41685de1c558c6d89b1a9ceb358e0c21bacc1cb531f3d1","schema_version":"1.0","event_id":"sha256:8963c4fbc3183ac88f41685de1c558c6d89b1a9ceb358e0c21bacc1cb531f3d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WPTBDPLJFXTCCFTKRZT6R3K2X5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Induced Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ichiro Oda","submitted_at":"2016-03-01T02:00:08Z","abstract_excerpt":"We propose a topological model of induced gravity (pregeometry) where both Newton's coupling constant and the cosmological constant appear as integration constants in solving field equations. The matter sector of a scalar field is also considered, and by solving field equations it is shown that various types of cosmological solutions in the FRW universe can be obtained. A detailed analysis is given of the meaning of the BRST transformations, which make the induced gravity be a topological field theory, by means of the canonical quantization analysis, and the physical reason why such BRST trans"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00112","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":"2026-05-18T00:50:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+hGwXc31N/m3zaRaLBlBIr06zpG86yhIJeR1I3CooCSjTigxVrATuw/BSMvoT8tjzPYo+ygGxRf09EQI85PDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:08:49.388077Z"},"content_sha256":"608b460394f1a577ba003f26b4fa83f9b46eb2e466d80f91821791bbd180825f","schema_version":"1.0","event_id":"sha256:608b460394f1a577ba003f26b4fa83f9b46eb2e466d80f91821791bbd180825f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPTBDPLJFXTCCFTKRZT6R3K2X5/bundle.json","state_url":"https://pith.science/pith/WPTBDPLJFXTCCFTKRZT6R3K2X5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPTBDPLJFXTCCFTKRZT6R3K2X5/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":"2026-06-01T20:08:49Z","links":{"resolver":"https://pith.science/pith/WPTBDPLJFXTCCFTKRZT6R3K2X5","bundle":"https://pith.science/pith/WPTBDPLJFXTCCFTKRZT6R3K2X5/bundle.json","state":"https://pith.science/pith/WPTBDPLJFXTCCFTKRZT6R3K2X5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPTBDPLJFXTCCFTKRZT6R3K2X5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WPTBDPLJFXTCCFTKRZT6R3K2X5","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":"8dc974b6af22fe0b1077d255a9dc89ce91496088fd9eeb7ce886f23f459b618e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-01T02:00:08Z","title_canon_sha256":"0a933a5cb8ebe0d15d84b71ea247be544dd14d4a38de371e988ddf8fa3001c32"},"schema_version":"1.0","source":{"id":"1603.00112","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00112","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00112v1","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00112","created_at":"2026-05-18T00:50:47Z"},{"alias_kind":"pith_short_12","alias_value":"WPTBDPLJFXTC","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WPTBDPLJFXTCCFTK","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WPTBDPLJ","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:608b460394f1a577ba003f26b4fa83f9b46eb2e466d80f91821791bbd180825f","target":"graph","created_at":"2026-05-18T00:50:47Z","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":"We propose a topological model of induced gravity (pregeometry) where both Newton's coupling constant and the cosmological constant appear as integration constants in solving field equations. The matter sector of a scalar field is also considered, and by solving field equations it is shown that various types of cosmological solutions in the FRW universe can be obtained. A detailed analysis is given of the meaning of the BRST transformations, which make the induced gravity be a topological field theory, by means of the canonical quantization analysis, and the physical reason why such BRST trans","authors_text":"Ichiro Oda","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-01T02:00:08Z","title":"Topological Induced Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00112","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":"sha256:8963c4fbc3183ac88f41685de1c558c6d89b1a9ceb358e0c21bacc1cb531f3d1","target":"record","created_at":"2026-05-18T00:50:47Z","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":"8dc974b6af22fe0b1077d255a9dc89ce91496088fd9eeb7ce886f23f459b618e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-01T02:00:08Z","title_canon_sha256":"0a933a5cb8ebe0d15d84b71ea247be544dd14d4a38de371e988ddf8fa3001c32"},"schema_version":"1.0","source":{"id":"1603.00112","kind":"arxiv","version":1}},"canonical_sha256":"b3e611bd692de621166a8e67e8ed5abf4502787179ff55e0c63c2d6d02700e3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3e611bd692de621166a8e67e8ed5abf4502787179ff55e0c63c2d6d02700e3e","first_computed_at":"2026-05-18T00:50:47.917685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:47.917685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LWkwA4wnt81TaRXgzd3tNk1sIUrXM2jhrhssP5JTftOkXK+jlLK9nQYkUIof/Sd1svMP9TQ+qBu6t+qKOrLWCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:47.918373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00112","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8963c4fbc3183ac88f41685de1c558c6d89b1a9ceb358e0c21bacc1cb531f3d1","sha256:608b460394f1a577ba003f26b4fa83f9b46eb2e466d80f91821791bbd180825f"],"state_sha256":"f044ea82932b5a6410844e5d6384d14f20d383d2b7e39b2bc8634ff4f2fd48c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xHnDdD/SRXNIlrdK6iUKd0qLUr9kIY21/HeFCbVoxbeZaXMv2paEKEONualRWitRM/+oUjlddr7g2SCjOLWzAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:08:49.390060Z","bundle_sha256":"6f18ea4199ae1c438a8be9803d4f89bbe2c65639d58ae51ec97d4c64c7aad5dc"}}