{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:D365434H3S3JWS5H5V6FBWNQW3","short_pith_number":"pith:D365434H","canonical_record":{"source":{"id":"1907.06547","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-15T15:22:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"93439f2e23dffdcb5263baf0b60463e9232ea19aaebb208ff5192cb50abb1fbc","abstract_canon_sha256":"0b82a1f2f70b3bf4dfc9d5e1e93815b04bc3b565ec7930715459084da5b1722d"},"schema_version":"1.0"},"canonical_sha256":"1efdde6f87dcb69b4ba7ed7c50d9b0b6ca5d36911a67cbde30f78d67f0cb5fb8","source":{"kind":"arxiv","id":"1907.06547","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06547","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06547v7","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06547","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"D365434H3S3J","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"pith_short_16","alias_value":"D365434H3S3JWS5H","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"pith_short_8","alias_value":"D365434H","created_at":"2026-07-05T00:50:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:D365434H3S3JWS5H5V6FBWNQW3","target":"record","payload":{"canonical_record":{"source":{"id":"1907.06547","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-15T15:22:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"93439f2e23dffdcb5263baf0b60463e9232ea19aaebb208ff5192cb50abb1fbc","abstract_canon_sha256":"0b82a1f2f70b3bf4dfc9d5e1e93815b04bc3b565ec7930715459084da5b1722d"},"schema_version":"1.0"},"canonical_sha256":"1efdde6f87dcb69b4ba7ed7c50d9b0b6ca5d36911a67cbde30f78d67f0cb5fb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:50:03.439395Z","signature_b64":"U/hCF881P56FAo4ODyHpLhEWOqFYnVUnkm4VpVwsFJ9hGFt+pgZez4cFb+vNPIqUR3dKPp9GLLIXJSd/5R9+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1efdde6f87dcb69b4ba7ed7c50d9b0b6ca5d36911a67cbde30f78d67f0cb5fb8","last_reissued_at":"2026-07-05T00:50:03.438849Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:50:03.438849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.06547","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iEWRK5emL5YgOZO8+ucUFRWCKoKBRvjkWcWCJRESzSFtD5ZRzEUaMKQkxyVWCz7nj/Ts1K06rhrp5v8LiESlCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T08:00:57.813023Z"},"content_sha256":"42fec14f66291acc5e07ae997171ff16ac52fdb413bc8b6d58858c8976362a68","schema_version":"1.0","event_id":"sha256:42fec14f66291acc5e07ae997171ff16ac52fdb413bc8b6d58858c8976362a68"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:D365434H3S3JWS5H5V6FBWNQW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"More on the regularized big bang singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"F.R. Klinkhamer","submitted_at":"2019-07-15T15:22:58Z","abstract_excerpt":"The big bang singularity of the expanding-universe Friedmann solution of the Einstein gravitational field equation can be regularized by the introduction of a degenerate metric and a nonzero length scale $b$. The result is a nonsingular bounce of the cosmic scale factor with a contracting prebounce phase and an expanding postbounce phase. The corresponding maximum values of the curvature and the energy density occur at the moment of the bounce and are proportional to powers of $1/b$. This article presents a detailed calculation of the dynamics of such a nonsingular bounce. In addition, a compa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06547","kind":"arxiv","version":7},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.06547/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"looaQuIp/I1B5saXko8SHoOX5xZoxTRwq76g3yEi/98ejhngb4uFEE7XbwNzqsmOxy6l9eJ7aWoVZxIhBjOXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T08:00:57.813921Z"},"content_sha256":"b140c0ac8bb2af2b0be268db4877f3c21083186b8c3bd851c5fa49df60b47863","schema_version":"1.0","event_id":"sha256:b140c0ac8bb2af2b0be268db4877f3c21083186b8c3bd851c5fa49df60b47863"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D365434H3S3JWS5H5V6FBWNQW3/bundle.json","state_url":"https://pith.science/pith/D365434H3S3JWS5H5V6FBWNQW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D365434H3S3JWS5H5V6FBWNQW3/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":"2026-08-14T08:00:57Z","links":{"resolver":"https://pith.science/pith/D365434H3S3JWS5H5V6FBWNQW3","bundle":"https://pith.science/pith/D365434H3S3JWS5H5V6FBWNQW3/bundle.json","state":"https://pith.science/pith/D365434H3S3JWS5H5V6FBWNQW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D365434H3S3JWS5H5V6FBWNQW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:D365434H3S3JWS5H5V6FBWNQW3","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":"0b82a1f2f70b3bf4dfc9d5e1e93815b04bc3b565ec7930715459084da5b1722d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-15T15:22:58Z","title_canon_sha256":"93439f2e23dffdcb5263baf0b60463e9232ea19aaebb208ff5192cb50abb1fbc"},"schema_version":"1.0","source":{"id":"1907.06547","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06547","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06547v7","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06547","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"D365434H3S3J","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"pith_short_16","alias_value":"D365434H3S3JWS5H","created_at":"2026-07-05T00:50:03Z"},{"alias_kind":"pith_short_8","alias_value":"D365434H","created_at":"2026-07-05T00:50:03Z"}],"graph_snapshots":[{"event_id":"sha256:b140c0ac8bb2af2b0be268db4877f3c21083186b8c3bd851c5fa49df60b47863","target":"graph","created_at":"2026-07-05T00:50:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1907.06547/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The big bang singularity of the expanding-universe Friedmann solution of the Einstein gravitational field equation can be regularized by the introduction of a degenerate metric and a nonzero length scale $b$. The result is a nonsingular bounce of the cosmic scale factor with a contracting prebounce phase and an expanding postbounce phase. The corresponding maximum values of the curvature and the energy density occur at the moment of the bounce and are proportional to powers of $1/b$. This article presents a detailed calculation of the dynamics of such a nonsingular bounce. In addition, a compa","authors_text":"F.R. Klinkhamer","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-15T15:22:58Z","title":"More on the regularized big bang singularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06547","kind":"arxiv","version":7},"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":"sha256:42fec14f66291acc5e07ae997171ff16ac52fdb413bc8b6d58858c8976362a68","target":"record","created_at":"2026-07-05T00:50:03Z","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":"0b82a1f2f70b3bf4dfc9d5e1e93815b04bc3b565ec7930715459084da5b1722d","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-07-15T15:22:58Z","title_canon_sha256":"93439f2e23dffdcb5263baf0b60463e9232ea19aaebb208ff5192cb50abb1fbc"},"schema_version":"1.0","source":{"id":"1907.06547","kind":"arxiv","version":7}},"canonical_sha256":"1efdde6f87dcb69b4ba7ed7c50d9b0b6ca5d36911a67cbde30f78d67f0cb5fb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1efdde6f87dcb69b4ba7ed7c50d9b0b6ca5d36911a67cbde30f78d67f0cb5fb8","first_computed_at":"2026-07-05T00:50:03.438849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:50:03.438849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U/hCF881P56FAo4ODyHpLhEWOqFYnVUnkm4VpVwsFJ9hGFt+pgZez4cFb+vNPIqUR3dKPp9GLLIXJSd/5R9+DA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:50:03.439395Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06547","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42fec14f66291acc5e07ae997171ff16ac52fdb413bc8b6d58858c8976362a68","sha256:b140c0ac8bb2af2b0be268db4877f3c21083186b8c3bd851c5fa49df60b47863"],"state_sha256":"7ae0ad47ed441c045a43f36f025dcd0a1a2269e6904f5145cdddfdfc75cb7a0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M5qGfVQe74pUnNQWysHMvHR9KjnTz4BIZSnAOMo8oIaw7qwk/UJKjbgED4n5fbvFUXLQS7ArxCEeXkVRy8hKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T08:00:57.822332Z","bundle_sha256":"88a75e03bc81edc0b8888837d6ec2dd3d5ef99b577e7ba363622705ac644937a"}}