{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:WB5FL4JM54KQPDWSEBUTWBZ4SU","short_pith_number":"pith:WB5FL4JM","canonical_record":{"source":{"id":"gr-qc/0105032","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-05-09T08:40:36Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ed642b191a819fcd4426b6f8c1f339685aa950075dda9a19240b4c6e36e71c8c","abstract_canon_sha256":"ae2f04404109d6aa0ba86913947360754d8c467a0326000a7c8b15f0aefc11b5"},"schema_version":"1.0"},"canonical_sha256":"b07a55f12cef15078ed220693b073c9531f37be997c6f20238fe2b282c6b23d1","source":{"kind":"arxiv","id":"gr-qc/0105032","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0105032","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0105032v3","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0105032","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"pith_short_12","alias_value":"WB5FL4JM54KQ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"WB5FL4JM54KQPDWS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"WB5FL4JM","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:WB5FL4JM54KQPDWSEBUTWBZ4SU","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0105032","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-05-09T08:40:36Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"ed642b191a819fcd4426b6f8c1f339685aa950075dda9a19240b4c6e36e71c8c","abstract_canon_sha256":"ae2f04404109d6aa0ba86913947360754d8c467a0326000a7c8b15f0aefc11b5"},"schema_version":"1.0"},"canonical_sha256":"b07a55f12cef15078ed220693b073c9531f37be997c6f20238fe2b282c6b23d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:36.041527Z","signature_b64":"zTvoR9jAn5+ZLpboz89+7rRv3TpeM2cvGPp9TQCO08S6JW94pn9EdZHy62Uwmsa0zsgvNW3RNOO0/SfGuWurCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07a55f12cef15078ed220693b073c9531f37be997c6f20238fe2b282c6b23d1","last_reissued_at":"2026-05-18T02:37:36.041146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:36.041146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0105032","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":"2026-05-18T02:37:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XIojWsZ1e3uPYlBmnaIxwiwKR3AElZmBHJCejQp/jfDiyHmHp9dVXlqOjug4RcxQcqak0Fn2vryr2eXTrV8aBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:32:23.790544Z"},"content_sha256":"2c6f005b4b9df16168da8342fa919602823bbf0da8f8f1500e53900191658699","schema_version":"1.0","event_id":"sha256:2c6f005b4b9df16168da8342fa919602823bbf0da8f8f1500e53900191658699"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:WB5FL4JM54KQPDWSEBUTWBZ4SU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary conditions from boundary terms, Noether charges and the trace K lagrangian in general relativity","license":"","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"J. M. Pons","submitted_at":"2001-05-09T08:40:36Z","abstract_excerpt":"We present the Lagrangian whose corresponding action is the trace K action for General Relativity. Although this Lagrangian is second order in the derivatives, it has no second order time derivatives and its behaviour at space infinity in the asymptotically flat case is identical to other alternative Lagrangians for General Relativity, like the gamma-gamma Lagrangian used by Einstein. We develop some elements of the variational principle for field theories with boundaries, and apply them to second order Lagrangians, where we stablish the conditions -- proposition 1 -- for the conservation of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0105032","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":"2026-05-18T02:37:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"avvL1yfNezMVxT58VfZQ921LDxwYoIDsDGyAnUfZ7cIQeC1lMTJBNS9vsT7Dcg4neCnqHJNU1Kd0FekJvvl6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T12:32:23.790893Z"},"content_sha256":"eb92cc9e082bef70477b7f3dc018e84626db77bc1af5c2b3fd45fec3cbe52771","schema_version":"1.0","event_id":"sha256:eb92cc9e082bef70477b7f3dc018e84626db77bc1af5c2b3fd45fec3cbe52771"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WB5FL4JM54KQPDWSEBUTWBZ4SU/bundle.json","state_url":"https://pith.science/pith/WB5FL4JM54KQPDWSEBUTWBZ4SU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WB5FL4JM54KQPDWSEBUTWBZ4SU/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":"2026-07-03T12:32:23Z","links":{"resolver":"https://pith.science/pith/WB5FL4JM54KQPDWSEBUTWBZ4SU","bundle":"https://pith.science/pith/WB5FL4JM54KQPDWSEBUTWBZ4SU/bundle.json","state":"https://pith.science/pith/WB5FL4JM54KQPDWSEBUTWBZ4SU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WB5FL4JM54KQPDWSEBUTWBZ4SU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:WB5FL4JM54KQPDWSEBUTWBZ4SU","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":"ae2f04404109d6aa0ba86913947360754d8c467a0326000a7c8b15f0aefc11b5","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"gr-qc","submitted_at":"2001-05-09T08:40:36Z","title_canon_sha256":"ed642b191a819fcd4426b6f8c1f339685aa950075dda9a19240b4c6e36e71c8c"},"schema_version":"1.0","source":{"id":"gr-qc/0105032","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0105032","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0105032v3","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0105032","created_at":"2026-05-18T02:37:36Z"},{"alias_kind":"pith_short_12","alias_value":"WB5FL4JM54KQ","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"WB5FL4JM54KQPDWS","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"WB5FL4JM","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:eb92cc9e082bef70477b7f3dc018e84626db77bc1af5c2b3fd45fec3cbe52771","target":"graph","created_at":"2026-05-18T02:37:36Z","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 present the Lagrangian whose corresponding action is the trace K action for General Relativity. Although this Lagrangian is second order in the derivatives, it has no second order time derivatives and its behaviour at space infinity in the asymptotically flat case is identical to other alternative Lagrangians for General Relativity, like the gamma-gamma Lagrangian used by Einstein. We develop some elements of the variational principle for field theories with boundaries, and apply them to second order Lagrangians, where we stablish the conditions -- proposition 1 -- for the conservation of t","authors_text":"J. M. Pons","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2001-05-09T08:40:36Z","title":"Boundary conditions from boundary terms, Noether charges and the trace K lagrangian in general relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0105032","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":"sha256:2c6f005b4b9df16168da8342fa919602823bbf0da8f8f1500e53900191658699","target":"record","created_at":"2026-05-18T02:37:36Z","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":"ae2f04404109d6aa0ba86913947360754d8c467a0326000a7c8b15f0aefc11b5","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"","primary_cat":"gr-qc","submitted_at":"2001-05-09T08:40:36Z","title_canon_sha256":"ed642b191a819fcd4426b6f8c1f339685aa950075dda9a19240b4c6e36e71c8c"},"schema_version":"1.0","source":{"id":"gr-qc/0105032","kind":"arxiv","version":3}},"canonical_sha256":"b07a55f12cef15078ed220693b073c9531f37be997c6f20238fe2b282c6b23d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b07a55f12cef15078ed220693b073c9531f37be997c6f20238fe2b282c6b23d1","first_computed_at":"2026-05-18T02:37:36.041146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:36.041146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zTvoR9jAn5+ZLpboz89+7rRv3TpeM2cvGPp9TQCO08S6JW94pn9EdZHy62Uwmsa0zsgvNW3RNOO0/SfGuWurCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:36.041527Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0105032","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c6f005b4b9df16168da8342fa919602823bbf0da8f8f1500e53900191658699","sha256:eb92cc9e082bef70477b7f3dc018e84626db77bc1af5c2b3fd45fec3cbe52771"],"state_sha256":"025b28fb8e29bec1fe156d449740e40691e4ca506bac0c74ac7325c45db9b01e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1MwwbE+HmnIGyojtSLmo48GHrBmJKhFk3m+HN+W2bnVWuwQ/SzctrU7Dz50/v4K3nSvNDXiuztCB57vp4C6DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T12:32:23.792923Z","bundle_sha256":"b7f91c0f118101516e50c32de1aedf4925187a6730109a8ee87af713c8e87e56"}}