{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XX7K5VS7XBF7JROC5SLEUDMWME","short_pith_number":"pith:XX7K5VS7","canonical_record":{"source":{"id":"1709.05201","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-15T13:42:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"57ad6a2bc6f7e22e4b4450549402a27f3c9f7302b90f178191953b9190fb59d8","abstract_canon_sha256":"d1f2a5efc2f80d8d773f1bafbbfe676ca55efff6d211f144d6f84a4a3dfe4efa"},"schema_version":"1.0"},"canonical_sha256":"bdfeaed65fb84bf4c5c2ec964a0d966122bbe4f1205388a7e1f7878c76727261","source":{"kind":"arxiv","id":"1709.05201","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.05201","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"arxiv_version","alias_value":"1709.05201v3","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.05201","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"pith_short_12","alias_value":"XX7K5VS7XBF7","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XX7K5VS7XBF7JROC","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XX7K5VS7","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XX7K5VS7XBF7JROC5SLEUDMWME","target":"record","payload":{"canonical_record":{"source":{"id":"1709.05201","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-15T13:42:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"57ad6a2bc6f7e22e4b4450549402a27f3c9f7302b90f178191953b9190fb59d8","abstract_canon_sha256":"d1f2a5efc2f80d8d773f1bafbbfe676ca55efff6d211f144d6f84a4a3dfe4efa"},"schema_version":"1.0"},"canonical_sha256":"bdfeaed65fb84bf4c5c2ec964a0d966122bbe4f1205388a7e1f7878c76727261","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:03.350052Z","signature_b64":"p+I91ushFbzBL6aHYDIXOgRGyeca6zzrIyKJ/awOQgVepFCDMprJPNWwG5qQtyHR7gYTxTsO20Yl4uVtsVhIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdfeaed65fb84bf4c5c2ec964a0d966122bbe4f1205388a7e1f7878c76727261","last_reissued_at":"2026-05-18T00:08:03.349588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:03.349588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.05201","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":"2026-05-18T00:08:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMCizVCFVaSm/JLiD7EgZOme8JzSRb9+oEWKF9KpHr7Pn3USSvH9M2Ozd3RyXtlXtxjxMV38pDOhkv/TtOMhCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T02:55:44.552696Z"},"content_sha256":"5aa8110a7e6e5f498cf6d7f39c5d525e2335518bc39834140dd1c9bba243b2df","schema_version":"1.0","event_id":"sha256:5aa8110a7e6e5f498cf6d7f39c5d525e2335518bc39834140dd1c9bba243b2df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XX7K5VS7XBF7JROC5SLEUDMWME","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivalent and inequivalent canonical structures of higher order theories of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Abhik Kumar Sanyal, Ranajit Mandal","submitted_at":"2017-09-15T13:42:04Z","abstract_excerpt":"Canonical formulation of higher order theory of gravity can only be accomplished associating additional degrees of freedom, which are extrinsic curvature tensor. Consequently, to match Cauchy data with the boundary data, terms in addition to the three-space metric, must also be fixed at the boundary. While, in all the three, viz. Ostrogradski's, Dirac's and Horowitz' formalisms, extrinsic curvature tensor is kept fixed at the boundary, a modified Horowitz' formalism fixes Ricci scalar, instead. It has been taken as granted that the Hamiltonian structure corresponding to all the formalisms with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05201","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":""},"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":"2026-05-18T00:08:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AAxRNN3yLDzH6RlX3mK1rDPFd3Lvsx2FaTGM/gb1bFNx9C+c5K0hmRUpwCJL+MxYGLcpoWNdVesKDpyGX0SrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T02:55:44.553177Z"},"content_sha256":"247f1264d3a2c0a4885d4be9712f475a3f1cd7d54f0e849f65cb4509c439b3fa","schema_version":"1.0","event_id":"sha256:247f1264d3a2c0a4885d4be9712f475a3f1cd7d54f0e849f65cb4509c439b3fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XX7K5VS7XBF7JROC5SLEUDMWME/bundle.json","state_url":"https://pith.science/pith/XX7K5VS7XBF7JROC5SLEUDMWME/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XX7K5VS7XBF7JROC5SLEUDMWME/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":"2026-08-17T02:55:44Z","links":{"resolver":"https://pith.science/pith/XX7K5VS7XBF7JROC5SLEUDMWME","bundle":"https://pith.science/pith/XX7K5VS7XBF7JROC5SLEUDMWME/bundle.json","state":"https://pith.science/pith/XX7K5VS7XBF7JROC5SLEUDMWME/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XX7K5VS7XBF7JROC5SLEUDMWME/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XX7K5VS7XBF7JROC5SLEUDMWME","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":"d1f2a5efc2f80d8d773f1bafbbfe676ca55efff6d211f144d6f84a4a3dfe4efa","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-15T13:42:04Z","title_canon_sha256":"57ad6a2bc6f7e22e4b4450549402a27f3c9f7302b90f178191953b9190fb59d8"},"schema_version":"1.0","source":{"id":"1709.05201","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.05201","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"arxiv_version","alias_value":"1709.05201v3","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.05201","created_at":"2026-05-18T00:08:03Z"},{"alias_kind":"pith_short_12","alias_value":"XX7K5VS7XBF7","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XX7K5VS7XBF7JROC","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XX7K5VS7","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:247f1264d3a2c0a4885d4be9712f475a3f1cd7d54f0e849f65cb4509c439b3fa","target":"graph","created_at":"2026-05-18T00:08:03Z","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"},"paper":{"abstract_excerpt":"Canonical formulation of higher order theory of gravity can only be accomplished associating additional degrees of freedom, which are extrinsic curvature tensor. Consequently, to match Cauchy data with the boundary data, terms in addition to the three-space metric, must also be fixed at the boundary. While, in all the three, viz. Ostrogradski's, Dirac's and Horowitz' formalisms, extrinsic curvature tensor is kept fixed at the boundary, a modified Horowitz' formalism fixes Ricci scalar, instead. It has been taken as granted that the Hamiltonian structure corresponding to all the formalisms with","authors_text":"Abhik Kumar Sanyal, Ranajit Mandal","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-15T13:42:04Z","title":"Equivalent and inequivalent canonical structures of higher order theories of gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05201","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":"sha256:5aa8110a7e6e5f498cf6d7f39c5d525e2335518bc39834140dd1c9bba243b2df","target":"record","created_at":"2026-05-18T00:08:03Z","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":"d1f2a5efc2f80d8d773f1bafbbfe676ca55efff6d211f144d6f84a4a3dfe4efa","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-15T13:42:04Z","title_canon_sha256":"57ad6a2bc6f7e22e4b4450549402a27f3c9f7302b90f178191953b9190fb59d8"},"schema_version":"1.0","source":{"id":"1709.05201","kind":"arxiv","version":3}},"canonical_sha256":"bdfeaed65fb84bf4c5c2ec964a0d966122bbe4f1205388a7e1f7878c76727261","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdfeaed65fb84bf4c5c2ec964a0d966122bbe4f1205388a7e1f7878c76727261","first_computed_at":"2026-05-18T00:08:03.349588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:03.349588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p+I91ushFbzBL6aHYDIXOgRGyeca6zzrIyKJ/awOQgVepFCDMprJPNWwG5qQtyHR7gYTxTsO20Yl4uVtsVhIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:03.350052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.05201","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5aa8110a7e6e5f498cf6d7f39c5d525e2335518bc39834140dd1c9bba243b2df","sha256:247f1264d3a2c0a4885d4be9712f475a3f1cd7d54f0e849f65cb4509c439b3fa"],"state_sha256":"f307a4a8e2e0f9d927ce966c8f63b9265af25e7f21add74a692c83ac4e33bac6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I/6LTr5rLtpmLHSgKpWcCcMHBci2Rdw839Xo0CBX/EbUfY/NXc/xidKuz6/UI/iwZF/BznPNjMJUNFue5/UNAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T02:55:44.556360Z","bundle_sha256":"101687ce573d0a70c1f011888101b7fc99fc3a69c5b65144e67b31deecd09755"}}