{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:PQ3ILPWVXOYXU54VQFFKOCXQA5","short_pith_number":"pith:PQ3ILPWV","canonical_record":{"source":{"id":"2103.15673","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-03-29T14:52:23Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"d575ac77fb893a445fa1a62423c707a7b4cf713b479f37447b8d48c02711ccd5","abstract_canon_sha256":"fcc23d21a7c032253a1d4b96fd0c321bfb66796e41fc142a80373f6c496228a7"},"schema_version":"1.0"},"canonical_sha256":"7c3685bed5bbb17a7795814aa70af0074cb8666a0bdd0c0abc73099ee3f17a24","source":{"kind":"arxiv","id":"2103.15673","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.15673","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"2103.15673v1","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.15673","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"PQ3ILPWVXOYX","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"pith_short_16","alias_value":"PQ3ILPWVXOYXU54V","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"pith_short_8","alias_value":"PQ3ILPWV","created_at":"2026-07-05T03:04:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:PQ3ILPWVXOYXU54VQFFKOCXQA5","target":"record","payload":{"canonical_record":{"source":{"id":"2103.15673","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-03-29T14:52:23Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"d575ac77fb893a445fa1a62423c707a7b4cf713b479f37447b8d48c02711ccd5","abstract_canon_sha256":"fcc23d21a7c032253a1d4b96fd0c321bfb66796e41fc142a80373f6c496228a7"},"schema_version":"1.0"},"canonical_sha256":"7c3685bed5bbb17a7795814aa70af0074cb8666a0bdd0c0abc73099ee3f17a24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:04:49.080069Z","signature_b64":"7FC+BGi9ZR5Uw5i+oetdrh420ovb8iFq4YRkQODkKdu3ePNbJMj6raHVad+wML5fXmbmrey8rY1aBhp9EMQkDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c3685bed5bbb17a7795814aa70af0074cb8666a0bdd0c0abc73099ee3f17a24","last_reissued_at":"2026-07-05T03:04:49.079601Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:04:49.079601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.15673","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":"2026-07-05T03:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EwjkIYSkULSr4QV9O/wKFONnf7d35OM9MzEwu4rzMBKZpk6l/uWgjLbp1m6HAt4kGTGWPtXi/C8csljHqn0dAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:14:29.228710Z"},"content_sha256":"51bcc231690e57e959396e7de9dd585a9603cc9731b78f407421ecc904eafd99","schema_version":"1.0","event_id":"sha256:51bcc231690e57e959396e7de9dd585a9603cc9731b78f407421ecc904eafd99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:PQ3ILPWVXOYXU54VQFFKOCXQA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The initial boundary value problem and quasi-local Hamiltonians in General Relativity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"gr-qc","authors_text":"Michael T. Anderson, Zhongshan An","submitted_at":"2021-03-29T14:52:23Z","abstract_excerpt":"We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions, which however are shown here to be ill-posed for the IBVP. We present and analyse several other choices of boundary conditions which are better behaved with respect to the IBVP and carry out a corresponding Hamiltonian analysis, using the framework of the covariant phase space method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.15673","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.15673/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":"2026-07-05T03:04:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EeGQLvAJOoU0hmiDH/Ea4EfH4l+iQ/wu7jPQtGf0y+m53bqzrqho8dR8407WqcNeegBWODdfk4YO3hE0mHPaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:14:29.229358Z"},"content_sha256":"2c54498542c8aaed1520e17fef2889d39025c3c9f73ac90541589e77cf616ff2","schema_version":"1.0","event_id":"sha256:2c54498542c8aaed1520e17fef2889d39025c3c9f73ac90541589e77cf616ff2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PQ3ILPWVXOYXU54VQFFKOCXQA5/bundle.json","state_url":"https://pith.science/pith/PQ3ILPWVXOYXU54VQFFKOCXQA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PQ3ILPWVXOYXU54VQFFKOCXQA5/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":"2026-08-07T17:14:29Z","links":{"resolver":"https://pith.science/pith/PQ3ILPWVXOYXU54VQFFKOCXQA5","bundle":"https://pith.science/pith/PQ3ILPWVXOYXU54VQFFKOCXQA5/bundle.json","state":"https://pith.science/pith/PQ3ILPWVXOYXU54VQFFKOCXQA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PQ3ILPWVXOYXU54VQFFKOCXQA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:PQ3ILPWVXOYXU54VQFFKOCXQA5","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":"fcc23d21a7c032253a1d4b96fd0c321bfb66796e41fc142a80373f6c496228a7","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-03-29T14:52:23Z","title_canon_sha256":"d575ac77fb893a445fa1a62423c707a7b4cf713b479f37447b8d48c02711ccd5"},"schema_version":"1.0","source":{"id":"2103.15673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.15673","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"arxiv_version","alias_value":"2103.15673v1","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.15673","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"pith_short_12","alias_value":"PQ3ILPWVXOYX","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"pith_short_16","alias_value":"PQ3ILPWVXOYXU54V","created_at":"2026-07-05T03:04:49Z"},{"alias_kind":"pith_short_8","alias_value":"PQ3ILPWV","created_at":"2026-07-05T03:04:49Z"}],"graph_snapshots":[{"event_id":"sha256:2c54498542c8aaed1520e17fef2889d39025c3c9f73ac90541589e77cf616ff2","target":"graph","created_at":"2026-07-05T03:04:49Z","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/2103.15673/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions, which however are shown here to be ill-posed for the IBVP. We present and analyse several other choices of boundary conditions which are better behaved with respect to the IBVP and carry out a corresponding Hamiltonian analysis, using the framework of the covariant phase space method.","authors_text":"Michael T. Anderson, Zhongshan An","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-03-29T14:52:23Z","title":"The initial boundary value problem and quasi-local Hamiltonians in General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.15673","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":"sha256:51bcc231690e57e959396e7de9dd585a9603cc9731b78f407421ecc904eafd99","target":"record","created_at":"2026-07-05T03:04:49Z","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":"fcc23d21a7c032253a1d4b96fd0c321bfb66796e41fc142a80373f6c496228a7","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-03-29T14:52:23Z","title_canon_sha256":"d575ac77fb893a445fa1a62423c707a7b4cf713b479f37447b8d48c02711ccd5"},"schema_version":"1.0","source":{"id":"2103.15673","kind":"arxiv","version":1}},"canonical_sha256":"7c3685bed5bbb17a7795814aa70af0074cb8666a0bdd0c0abc73099ee3f17a24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c3685bed5bbb17a7795814aa70af0074cb8666a0bdd0c0abc73099ee3f17a24","first_computed_at":"2026-07-05T03:04:49.079601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:04:49.079601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7FC+BGi9ZR5Uw5i+oetdrh420ovb8iFq4YRkQODkKdu3ePNbJMj6raHVad+wML5fXmbmrey8rY1aBhp9EMQkDg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:04:49.080069Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.15673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51bcc231690e57e959396e7de9dd585a9603cc9731b78f407421ecc904eafd99","sha256:2c54498542c8aaed1520e17fef2889d39025c3c9f73ac90541589e77cf616ff2"],"state_sha256":"27d68ecf84448096b70dd67f8d4fa11a6893757280f7a111b5504b1974c20588"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JJtTaTksw3sLDTtnXnPxFVh3lRHKm/KUpHnD2p9MzyVSVORNQACjVZnLhUozIjQOF4h9rQnEDKBeDjjwh5muAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T17:14:29.235438Z","bundle_sha256":"a360a311ea0273fd20fc6778cb1382f83ed245481f93bbd43d020f5532557d90"}}