{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:E3ASPMTLHNJD5X7SXTEXK6KFBK","short_pith_number":"pith:E3ASPMTL","canonical_record":{"source":{"id":"2207.12451","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-25T18:13:25Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"6a3b3fab18838332a3f8e2237c2cc77ca23eb6cf44ddbd08016d1b0ba4d445a8","abstract_canon_sha256":"bd843e5d829046e0a612fdb49618e0ddf1dba4abec44b585458faec8b1a09ca2"},"schema_version":"1.0"},"canonical_sha256":"26c127b26b3b523edff2bcc97579450ab561497b187e7e09cf858f69ca62c18f","source":{"kind":"arxiv","id":"2207.12451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.12451","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"arxiv_version","alias_value":"2207.12451v1","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.12451","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"pith_short_12","alias_value":"E3ASPMTLHNJD","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"pith_short_16","alias_value":"E3ASPMTLHNJD5X7S","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"pith_short_8","alias_value":"E3ASPMTL","created_at":"2026-07-05T05:30:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:E3ASPMTLHNJD5X7SXTEXK6KFBK","target":"record","payload":{"canonical_record":{"source":{"id":"2207.12451","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-25T18:13:25Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"6a3b3fab18838332a3f8e2237c2cc77ca23eb6cf44ddbd08016d1b0ba4d445a8","abstract_canon_sha256":"bd843e5d829046e0a612fdb49618e0ddf1dba4abec44b585458faec8b1a09ca2"},"schema_version":"1.0"},"canonical_sha256":"26c127b26b3b523edff2bcc97579450ab561497b187e7e09cf858f69ca62c18f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:30:10.433716Z","signature_b64":"MFG2LBxykGY1CpKWkQmdDbtAfo7bMiFYfJCYoJq3DIei4bbU5XaNl7aw42FJj64iZOhntx84PjF8z8JTfzbACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26c127b26b3b523edff2bcc97579450ab561497b187e7e09cf858f69ca62c18f","last_reissued_at":"2026-07-05T05:30:10.433223Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:30:10.433223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.12451","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":"2026-07-05T05:30:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jDjOxIjGY90xZGNHlhVNnXVTrnGI8MRI+ubqOy7meRshJ+jpYY1UIyk9wgOEifowGLvnX8/pMZb7JEIwVQEvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:18:53.128469Z"},"content_sha256":"98278ec85d82e1372339c1f2fdfe6df6ffe72038656ad24dd239a9c0690aeb77","schema_version":"1.0","event_id":"sha256:98278ec85d82e1372339c1f2fdfe6df6ffe72038656ad24dd239a9c0690aeb77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:E3ASPMTLHNJD5X7SXTEXK6KFBK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A convenient gauge for virial identities in axial symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Alexandre M. Pombo, Joao M. S. Oliveira","submitted_at":"2022-07-25T18:13:25Z","abstract_excerpt":"Virial identities are a useful mathematical tool in General Relativity. Not only have they been used as a numerical accuracy tool, but they have also played a significant role in establishing no-go and no-hair theorems while giving some physical insight into the considered system from an energy balance perspective. While the calculation of these identities tends to be a straightforward application of Derrick's scaling argument~\\cite{derrick1964comments}, the complexity of the resulting identity is system dependent. In particular, the contribution of the Einstein-Hilbert action, due to the pres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.12451","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/2207.12451/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":"2026-07-05T05:30:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"juOooS1WRX3hUUsAEhFGKVcglI745iXKBDQAGkbLxcrER5mKPgllxwVJQRKAJ+yU+QTvmzFqNiystQY4TtieBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:18:53.128850Z"},"content_sha256":"95e1c5cb1b4a5a3b58c75566e75fb68c10fa0898da773c4cdea88e534f8f3d4d","schema_version":"1.0","event_id":"sha256:95e1c5cb1b4a5a3b58c75566e75fb68c10fa0898da773c4cdea88e534f8f3d4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E3ASPMTLHNJD5X7SXTEXK6KFBK/bundle.json","state_url":"https://pith.science/pith/E3ASPMTLHNJD5X7SXTEXK6KFBK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E3ASPMTLHNJD5X7SXTEXK6KFBK/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":"2026-07-06T17:18:53Z","links":{"resolver":"https://pith.science/pith/E3ASPMTLHNJD5X7SXTEXK6KFBK","bundle":"https://pith.science/pith/E3ASPMTLHNJD5X7SXTEXK6KFBK/bundle.json","state":"https://pith.science/pith/E3ASPMTLHNJD5X7SXTEXK6KFBK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E3ASPMTLHNJD5X7SXTEXK6KFBK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:E3ASPMTLHNJD5X7SXTEXK6KFBK","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":"bd843e5d829046e0a612fdb49618e0ddf1dba4abec44b585458faec8b1a09ca2","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-25T18:13:25Z","title_canon_sha256":"6a3b3fab18838332a3f8e2237c2cc77ca23eb6cf44ddbd08016d1b0ba4d445a8"},"schema_version":"1.0","source":{"id":"2207.12451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.12451","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"arxiv_version","alias_value":"2207.12451v1","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.12451","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"pith_short_12","alias_value":"E3ASPMTLHNJD","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"pith_short_16","alias_value":"E3ASPMTLHNJD5X7S","created_at":"2026-07-05T05:30:10Z"},{"alias_kind":"pith_short_8","alias_value":"E3ASPMTL","created_at":"2026-07-05T05:30:10Z"}],"graph_snapshots":[{"event_id":"sha256:95e1c5cb1b4a5a3b58c75566e75fb68c10fa0898da773c4cdea88e534f8f3d4d","target":"graph","created_at":"2026-07-05T05:30:10Z","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/2207.12451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Virial identities are a useful mathematical tool in General Relativity. Not only have they been used as a numerical accuracy tool, but they have also played a significant role in establishing no-go and no-hair theorems while giving some physical insight into the considered system from an energy balance perspective. While the calculation of these identities tends to be a straightforward application of Derrick's scaling argument~\\cite{derrick1964comments}, the complexity of the resulting identity is system dependent. In particular, the contribution of the Einstein-Hilbert action, due to the pres","authors_text":"Alexandre M. Pombo, Joao M. S. Oliveira","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-25T18:13:25Z","title":"A convenient gauge for virial identities in axial symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.12451","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":"sha256:98278ec85d82e1372339c1f2fdfe6df6ffe72038656ad24dd239a9c0690aeb77","target":"record","created_at":"2026-07-05T05:30:10Z","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":"bd843e5d829046e0a612fdb49618e0ddf1dba4abec44b585458faec8b1a09ca2","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-25T18:13:25Z","title_canon_sha256":"6a3b3fab18838332a3f8e2237c2cc77ca23eb6cf44ddbd08016d1b0ba4d445a8"},"schema_version":"1.0","source":{"id":"2207.12451","kind":"arxiv","version":1}},"canonical_sha256":"26c127b26b3b523edff2bcc97579450ab561497b187e7e09cf858f69ca62c18f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26c127b26b3b523edff2bcc97579450ab561497b187e7e09cf858f69ca62c18f","first_computed_at":"2026-07-05T05:30:10.433223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:10.433223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MFG2LBxykGY1CpKWkQmdDbtAfo7bMiFYfJCYoJq3DIei4bbU5XaNl7aw42FJj64iZOhntx84PjF8z8JTfzbACA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:10.433716Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.12451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98278ec85d82e1372339c1f2fdfe6df6ffe72038656ad24dd239a9c0690aeb77","sha256:95e1c5cb1b4a5a3b58c75566e75fb68c10fa0898da773c4cdea88e534f8f3d4d"],"state_sha256":"871d0407b343b620c77ff63bf7ed63116fa0c2d473c8b4e7325ef158de1a97a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xBl8idbrntEh+9OUd60O6oP0JxerM10Y6yn5Brpde//9zcOFzNfPS6uN5VTZib4jorD+SjTRiYew3TFPvj35Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T17:18:53.130751Z","bundle_sha256":"3489017c8ad534829ee233da8fa87f83ffd7815bae0179afef3d4da67fb23398"}}