{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UXC5FM7Y2F5GXB4YQ4ZJWJXYEX","short_pith_number":"pith:UXC5FM7Y","canonical_record":{"source":{"id":"1304.0778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-02T20:04:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a127ad4268e167d1a59adec39f534f8dfcd1c16c118f0f01187732e8cd169f6c","abstract_canon_sha256":"353432d0e259439d9615eac3e735f098756f1b5637d87005b3c12d052865772a"},"schema_version":"1.0"},"canonical_sha256":"a5c5d2b3f8d17a6b879887329b26f825f6c3bd5a0c0f539ee185892e383dc969","source":{"kind":"arxiv","id":"1304.0778","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0778","created_at":"2026-05-17T23:49:57Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0778v1","created_at":"2026-05-17T23:49:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0778","created_at":"2026-05-17T23:49:57Z"},{"alias_kind":"pith_short_12","alias_value":"UXC5FM7Y2F5G","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UXC5FM7Y2F5GXB4Y","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UXC5FM7Y","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UXC5FM7Y2F5GXB4YQ4ZJWJXYEX","target":"record","payload":{"canonical_record":{"source":{"id":"1304.0778","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-02T20:04:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a127ad4268e167d1a59adec39f534f8dfcd1c16c118f0f01187732e8cd169f6c","abstract_canon_sha256":"353432d0e259439d9615eac3e735f098756f1b5637d87005b3c12d052865772a"},"schema_version":"1.0"},"canonical_sha256":"a5c5d2b3f8d17a6b879887329b26f825f6c3bd5a0c0f539ee185892e383dc969","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:57.799213Z","signature_b64":"biJAAtyeTvUVQIqujKVZm2gwBfp+GRF18dzL0KtNpgZYig9RKhefFHsOvDpzMKz6qpH/jQ7xHM6/KVGd2K//DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5c5d2b3f8d17a6b879887329b26f825f6c3bd5a0c0f539ee185892e383dc969","last_reissued_at":"2026-05-17T23:49:57.798552Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:57.798552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.0778","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":"2026-05-17T23:49:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dZW7+yqTrbKLvME6XkhfKPZugjitA/HJANAhy6toLl4VhTEH9TF7vdUpG2kJ6mwvXnqMEnV8gBK4FO1/XD1KCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:47:50.702144Z"},"content_sha256":"aa760a099d280630e6f9ef6e6cb3b14bcd9eab20faa299b62d88d74e8414ad2d","schema_version":"1.0","event_id":"sha256:aa760a099d280630e6f9ef6e6cb3b14bcd9eab20faa299b62d88d74e8414ad2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UXC5FM7Y2F5GXB4YQ4ZJWJXYEX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Abelian Ashtekar formulation from the ADM action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ernesto Contreras, Lorenzo Leal","submitted_at":"2013-04-02T20:04:01Z","abstract_excerpt":"We study the Ashtekar formulation of linear gravity starting from the ADM first order action for the non linear theory, linearizing it, and performing a canonical transformation that coordinatizes the phase space in terms of the already linearized Ashtekar variables. The results obtained in this way are in accordance with those obtained through the standard method, in which, after introducing the Ashtekar variables for the full theory, a linearization around the flat Abelian connection and its conjugate momentum is performed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0778","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":""},"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":"2026-05-17T23:49:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bxIBzcQRNgJG5RwU9FRDyz5Rz6rdV/t45ednI2o81zSgWY2zxDB0/2MJd2348sgBMCcMRPyW2sKWNDsXR1upBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:47:50.702804Z"},"content_sha256":"a2cca2dc7703c0946b27ac3d38b682538c82a9ea06d63bd1ed9d2f7a19013954","schema_version":"1.0","event_id":"sha256:a2cca2dc7703c0946b27ac3d38b682538c82a9ea06d63bd1ed9d2f7a19013954"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UXC5FM7Y2F5GXB4YQ4ZJWJXYEX/bundle.json","state_url":"https://pith.science/pith/UXC5FM7Y2F5GXB4YQ4ZJWJXYEX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UXC5FM7Y2F5GXB4YQ4ZJWJXYEX/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":"2026-05-28T05:47:50Z","links":{"resolver":"https://pith.science/pith/UXC5FM7Y2F5GXB4YQ4ZJWJXYEX","bundle":"https://pith.science/pith/UXC5FM7Y2F5GXB4YQ4ZJWJXYEX/bundle.json","state":"https://pith.science/pith/UXC5FM7Y2F5GXB4YQ4ZJWJXYEX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UXC5FM7Y2F5GXB4YQ4ZJWJXYEX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UXC5FM7Y2F5GXB4YQ4ZJWJXYEX","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":"353432d0e259439d9615eac3e735f098756f1b5637d87005b3c12d052865772a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-02T20:04:01Z","title_canon_sha256":"a127ad4268e167d1a59adec39f534f8dfcd1c16c118f0f01187732e8cd169f6c"},"schema_version":"1.0","source":{"id":"1304.0778","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0778","created_at":"2026-05-17T23:49:57Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0778v1","created_at":"2026-05-17T23:49:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0778","created_at":"2026-05-17T23:49:57Z"},{"alias_kind":"pith_short_12","alias_value":"UXC5FM7Y2F5G","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UXC5FM7Y2F5GXB4Y","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UXC5FM7Y","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:a2cca2dc7703c0946b27ac3d38b682538c82a9ea06d63bd1ed9d2f7a19013954","target":"graph","created_at":"2026-05-17T23:49:57Z","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 study the Ashtekar formulation of linear gravity starting from the ADM first order action for the non linear theory, linearizing it, and performing a canonical transformation that coordinatizes the phase space in terms of the already linearized Ashtekar variables. The results obtained in this way are in accordance with those obtained through the standard method, in which, after introducing the Ashtekar variables for the full theory, a linearization around the flat Abelian connection and its conjugate momentum is performed.","authors_text":"Ernesto Contreras, Lorenzo Leal","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-02T20:04:01Z","title":"Abelian Ashtekar formulation from the ADM action"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0778","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:aa760a099d280630e6f9ef6e6cb3b14bcd9eab20faa299b62d88d74e8414ad2d","target":"record","created_at":"2026-05-17T23:49:57Z","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":"353432d0e259439d9615eac3e735f098756f1b5637d87005b3c12d052865772a","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-04-02T20:04:01Z","title_canon_sha256":"a127ad4268e167d1a59adec39f534f8dfcd1c16c118f0f01187732e8cd169f6c"},"schema_version":"1.0","source":{"id":"1304.0778","kind":"arxiv","version":1}},"canonical_sha256":"a5c5d2b3f8d17a6b879887329b26f825f6c3bd5a0c0f539ee185892e383dc969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5c5d2b3f8d17a6b879887329b26f825f6c3bd5a0c0f539ee185892e383dc969","first_computed_at":"2026-05-17T23:49:57.798552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:57.798552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"biJAAtyeTvUVQIqujKVZm2gwBfp+GRF18dzL0KtNpgZYig9RKhefFHsOvDpzMKz6qpH/jQ7xHM6/KVGd2K//DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:57.799213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.0778","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa760a099d280630e6f9ef6e6cb3b14bcd9eab20faa299b62d88d74e8414ad2d","sha256:a2cca2dc7703c0946b27ac3d38b682538c82a9ea06d63bd1ed9d2f7a19013954"],"state_sha256":"50eee2faec3a0b81bdcda8e9443d496bbaf0cba9b28a64765d9b1559c3fd7d17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QYhdxde+GHzuftz8TIbTJfmYPPhg3aEXwQJhOiNXyb68swbtoALYOEk3UMU5UoVzvn9FW9nsLSK7kBgp8qoUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:47:50.706019Z","bundle_sha256":"4a4d12f4a5a44a8425eac554c7d5092fa46e6cd1d526f9fdfa37800956e0ef5e"}}