{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:BSDUVAYD3NCG4UMSBU4ZCT6DJX","short_pith_number":"pith:BSDUVAYD","canonical_record":{"source":{"id":"gr-qc/0701152","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-01-28T00:00:39Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e28862c2bd5ba9e5e0393c903ecfdd8ca3139115df17f9430c96adc5c2672f8f","abstract_canon_sha256":"b4c5b3a41305edf76ab5dfc7c30417423e4af0920f9cee177c6c637498e41717"},"schema_version":"1.0"},"canonical_sha256":"0c874a8303db446e51920d39914fc34dc9857c1088933108b7f239a1b166c056","source":{"kind":"arxiv","id":"gr-qc/0701152","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0701152","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0701152v3","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0701152","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"BSDUVAYD3NCG","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"pith_short_16","alias_value":"BSDUVAYD3NCG4UMS","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"pith_short_8","alias_value":"BSDUVAYD","created_at":"2026-07-04T15:22:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:BSDUVAYD3NCG4UMSBU4ZCT6DJX","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0701152","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-01-28T00:00:39Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e28862c2bd5ba9e5e0393c903ecfdd8ca3139115df17f9430c96adc5c2672f8f","abstract_canon_sha256":"b4c5b3a41305edf76ab5dfc7c30417423e4af0920f9cee177c6c637498e41717"},"schema_version":"1.0"},"canonical_sha256":"0c874a8303db446e51920d39914fc34dc9857c1088933108b7f239a1b166c056","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:00.221035Z","signature_b64":"3MigZ0z47fSLwSDh2WDgQyzHmdzKlMZ3871DrFxWAAI6S2wj4cHr7uGGgMVLY9SRs3IUE6ie/aDGKHaBAsQdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c874a8303db446e51920d39914fc34dc9857c1088933108b7f239a1b166c056","last_reissued_at":"2026-07-04T15:22:00.220608Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:00.220608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0701152","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w639QzbWZj+WANPSx2rG/2hr4nI9zEyy6yAdQOgioYIMwF+DIB3iZASpzKasUOvrOywRcoa1w0X5FbDrcJm5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T05:23:33.735372Z"},"content_sha256":"b5b9ab31affb65f5edbebc260ad92cd650c3af5017cb7560168461518564f443","schema_version":"1.0","event_id":"sha256:b5b9ab31affb65f5edbebc260ad92cd650c3af5017cb7560168461518564f443"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:BSDUVAYD3NCG4UMSBU4ZCT6DJX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"`Mass without mass' from thin shells in Gauss-Bonnet gravity","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Elias Gravanis, Steven Willison","submitted_at":"2007-01-28T00:00:39Z","abstract_excerpt":"Five tensor equations are obtained for a thin shell in Gauss-Bonnet gravity. There is the well known junction condition for the singular part of the stress tensor intrinsic to the shell, which we also prove to be well defined. There are also equations relating the geometry of the shell (jump and average of the extrinsic curvature as well as the intrinsic curvature) to the non-singular components of the bulk stress tensor on the sides of the thin shell.\n  The equations are applied to spherically symmetric thin shells in vacuum. The shells are part of the vacuum, they carry no energy tensor. We "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0701152","kind":"arxiv","version":3},"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/gr-qc/0701152/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":"2026-07-04T15:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UE+q8ZqiTPP7Zn6pkvwlOREnvcRQh9WpMumRUqzl1ooVCgHPe5qFGYr24bF1b8EU4NMu7UsS/ZSNO81egmWZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T05:23:33.735924Z"},"content_sha256":"cb1ef9cd8ebdf48d73f744d46e184015a594df0c920969fe4f7e7f7d17c53317","schema_version":"1.0","event_id":"sha256:cb1ef9cd8ebdf48d73f744d46e184015a594df0c920969fe4f7e7f7d17c53317"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BSDUVAYD3NCG4UMSBU4ZCT6DJX/bundle.json","state_url":"https://pith.science/pith/BSDUVAYD3NCG4UMSBU4ZCT6DJX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BSDUVAYD3NCG4UMSBU4ZCT6DJX/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":"2026-08-03T05:23:33Z","links":{"resolver":"https://pith.science/pith/BSDUVAYD3NCG4UMSBU4ZCT6DJX","bundle":"https://pith.science/pith/BSDUVAYD3NCG4UMSBU4ZCT6DJX/bundle.json","state":"https://pith.science/pith/BSDUVAYD3NCG4UMSBU4ZCT6DJX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BSDUVAYD3NCG4UMSBU4ZCT6DJX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:BSDUVAYD3NCG4UMSBU4ZCT6DJX","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":"b4c5b3a41305edf76ab5dfc7c30417423e4af0920f9cee177c6c637498e41717","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-01-28T00:00:39Z","title_canon_sha256":"e28862c2bd5ba9e5e0393c903ecfdd8ca3139115df17f9430c96adc5c2672f8f"},"schema_version":"1.0","source":{"id":"gr-qc/0701152","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0701152","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0701152v3","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0701152","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"BSDUVAYD3NCG","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"pith_short_16","alias_value":"BSDUVAYD3NCG4UMS","created_at":"2026-07-04T15:22:00Z"},{"alias_kind":"pith_short_8","alias_value":"BSDUVAYD","created_at":"2026-07-04T15:22:00Z"}],"graph_snapshots":[{"event_id":"sha256:cb1ef9cd8ebdf48d73f744d46e184015a594df0c920969fe4f7e7f7d17c53317","target":"graph","created_at":"2026-07-04T15:22:00Z","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/gr-qc/0701152/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Five tensor equations are obtained for a thin shell in Gauss-Bonnet gravity. There is the well known junction condition for the singular part of the stress tensor intrinsic to the shell, which we also prove to be well defined. There are also equations relating the geometry of the shell (jump and average of the extrinsic curvature as well as the intrinsic curvature) to the non-singular components of the bulk stress tensor on the sides of the thin shell.\n  The equations are applied to spherically symmetric thin shells in vacuum. The shells are part of the vacuum, they carry no energy tensor. We ","authors_text":"Elias Gravanis, Steven Willison","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-01-28T00:00:39Z","title":"`Mass without mass' from thin shells in Gauss-Bonnet gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0701152","kind":"arxiv","version":3},"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:b5b9ab31affb65f5edbebc260ad92cd650c3af5017cb7560168461518564f443","target":"record","created_at":"2026-07-04T15:22:00Z","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":"b4c5b3a41305edf76ab5dfc7c30417423e4af0920f9cee177c6c637498e41717","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2007-01-28T00:00:39Z","title_canon_sha256":"e28862c2bd5ba9e5e0393c903ecfdd8ca3139115df17f9430c96adc5c2672f8f"},"schema_version":"1.0","source":{"id":"gr-qc/0701152","kind":"arxiv","version":3}},"canonical_sha256":"0c874a8303db446e51920d39914fc34dc9857c1088933108b7f239a1b166c056","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c874a8303db446e51920d39914fc34dc9857c1088933108b7f239a1b166c056","first_computed_at":"2026-07-04T15:22:00.220608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:00.220608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3MigZ0z47fSLwSDh2WDgQyzHmdzKlMZ3871DrFxWAAI6S2wj4cHr7uGGgMVLY9SRs3IUE6ie/aDGKHaBAsQdCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:00.221035Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0701152","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5b9ab31affb65f5edbebc260ad92cd650c3af5017cb7560168461518564f443","sha256:cb1ef9cd8ebdf48d73f744d46e184015a594df0c920969fe4f7e7f7d17c53317"],"state_sha256":"65ec98a106a6f16a694a0f39116c33c278c7c4dc6a120c67158b97801bbd8760"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VrUgLv62jaiohVvfeTOmw/7W0nAVpxD5s9XCgBfzHCv1DNy9R/ey4VZ3fNcuVFUlEMGB8rWpmgmkUdvUcxKbDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T05:23:33.741092Z","bundle_sha256":"d2d7aa2e17a3de6a9d816180f6e7bb729bae2e3a596ee3fcf4702cfe72d5612b"}}