{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AUI7OPZ56EFBEGWQEI3KWAK5JY","short_pith_number":"pith:AUI7OPZ5","canonical_record":{"source":{"id":"2412.01771","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T18:12:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5825595286b9ffe8b67ced605fd600a7a3c2d0b7a98802657439c13daf143a3b","abstract_canon_sha256":"f53410840727a4a07518a737238ad0f2300e560d8c3b9c2903b2e9fbd72e6da4"},"schema_version":"1.0"},"canonical_sha256":"0511f73f3df10a121ad02236ab015d4e08460edf0cce2d7c6aa590f8b9846f9d","source":{"kind":"arxiv","id":"2412.01771","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01771","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01771v2","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01771","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"AUI7OPZ56EFB","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"pith_short_16","alias_value":"AUI7OPZ56EFBEGWQ","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"pith_short_8","alias_value":"AUI7OPZ5","created_at":"2026-07-05T10:46:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AUI7OPZ56EFBEGWQEI3KWAK5JY","target":"record","payload":{"canonical_record":{"source":{"id":"2412.01771","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T18:12:31Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5825595286b9ffe8b67ced605fd600a7a3c2d0b7a98802657439c13daf143a3b","abstract_canon_sha256":"f53410840727a4a07518a737238ad0f2300e560d8c3b9c2903b2e9fbd72e6da4"},"schema_version":"1.0"},"canonical_sha256":"0511f73f3df10a121ad02236ab015d4e08460edf0cce2d7c6aa590f8b9846f9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:46:39.452756Z","signature_b64":"JCCU72BHtgwJDl2+cb9i044+N5aPczsSth+syn6Sybqr3WzKs+FoB+hJ98YjQMEPDeACFagXRpA1A+fDGQAuAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0511f73f3df10a121ad02236ab015d4e08460edf0cce2d7c6aa590f8b9846f9d","last_reissued_at":"2026-07-05T10:46:39.452259Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:46:39.452259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.01771","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RQ3HJyZNnl3/uTgZsZHDagHgjc3ZQYhMNQZiTSfeeLoWO+Vr9NykuSXnFtY9BaMcD6TrQMLKEs9uZ2joXbXTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T08:57:20.227993Z"},"content_sha256":"25e2407b592d2fa06e2b13ebaa91dfca68a3fef9ad7ea19263f8c47a7bf9c002","schema_version":"1.0","event_id":"sha256:25e2407b592d2fa06e2b13ebaa91dfca68a3fef9ad7ea19263f8c47a7bf9c002"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AUI7OPZ56EFBEGWQEI3KWAK5JY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Source multipoles and energy-momentum tensors for spinning black holes and other compact objects in arbitrary dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Claudio Gambino, Fabio Riccioni, Massimo Bianchi, Paolo Pani","submitted_at":"2024-12-02T18:12:31Z","abstract_excerpt":"Working in momentum space and at linear order in the gravitational coupling, we derive the most general class of energy-momentum tensors associated with a given multipolar structure of the spacetime in arbitrary dimensions, and built out of a mass and an angular momentum, at any order in the spin expansion. In this formalism, we are able to derive directly the full multipolar structure of any solution from the multipole expansion of the energy-momentum tensor, in complete analogy to Newtonian gravity. In particular, we identify the recurrence relations that allow obtaining the multipolar struc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01771","kind":"arxiv","version":2},"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/2412.01771/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":"2026-07-05T10:46:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3N5s8i8LOjoeseck4GCNRIOThPFodiZLUIWTnEy0R4GlzEADLeiJ6lPKa5eXq4rXN5obNljM3qmLF4QCXsUECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T08:57:20.228374Z"},"content_sha256":"f377f4932f3cf2e37ec78b2fd567f6370f352f13cfe2b17bb133f9f88fea32a7","schema_version":"1.0","event_id":"sha256:f377f4932f3cf2e37ec78b2fd567f6370f352f13cfe2b17bb133f9f88fea32a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AUI7OPZ56EFBEGWQEI3KWAK5JY/bundle.json","state_url":"https://pith.science/pith/AUI7OPZ56EFBEGWQEI3KWAK5JY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AUI7OPZ56EFBEGWQEI3KWAK5JY/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":"2026-08-22T08:57:20Z","links":{"resolver":"https://pith.science/pith/AUI7OPZ56EFBEGWQEI3KWAK5JY","bundle":"https://pith.science/pith/AUI7OPZ56EFBEGWQEI3KWAK5JY/bundle.json","state":"https://pith.science/pith/AUI7OPZ56EFBEGWQEI3KWAK5JY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AUI7OPZ56EFBEGWQEI3KWAK5JY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AUI7OPZ56EFBEGWQEI3KWAK5JY","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":"f53410840727a4a07518a737238ad0f2300e560d8c3b9c2903b2e9fbd72e6da4","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T18:12:31Z","title_canon_sha256":"5825595286b9ffe8b67ced605fd600a7a3c2d0b7a98802657439c13daf143a3b"},"schema_version":"1.0","source":{"id":"2412.01771","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01771","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01771v2","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01771","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"pith_short_12","alias_value":"AUI7OPZ56EFB","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"pith_short_16","alias_value":"AUI7OPZ56EFBEGWQ","created_at":"2026-07-05T10:46:39Z"},{"alias_kind":"pith_short_8","alias_value":"AUI7OPZ5","created_at":"2026-07-05T10:46:39Z"}],"graph_snapshots":[{"event_id":"sha256:f377f4932f3cf2e37ec78b2fd567f6370f352f13cfe2b17bb133f9f88fea32a7","target":"graph","created_at":"2026-07-05T10:46:39Z","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/2412.01771/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Working in momentum space and at linear order in the gravitational coupling, we derive the most general class of energy-momentum tensors associated with a given multipolar structure of the spacetime in arbitrary dimensions, and built out of a mass and an angular momentum, at any order in the spin expansion. In this formalism, we are able to derive directly the full multipolar structure of any solution from the multipole expansion of the energy-momentum tensor, in complete analogy to Newtonian gravity. In particular, we identify the recurrence relations that allow obtaining the multipolar struc","authors_text":"Claudio Gambino, Fabio Riccioni, Massimo Bianchi, Paolo Pani","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T18:12:31Z","title":"Source multipoles and energy-momentum tensors for spinning black holes and other compact objects in arbitrary dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01771","kind":"arxiv","version":2},"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":"sha256:25e2407b592d2fa06e2b13ebaa91dfca68a3fef9ad7ea19263f8c47a7bf9c002","target":"record","created_at":"2026-07-05T10:46:39Z","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":"f53410840727a4a07518a737238ad0f2300e560d8c3b9c2903b2e9fbd72e6da4","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T18:12:31Z","title_canon_sha256":"5825595286b9ffe8b67ced605fd600a7a3c2d0b7a98802657439c13daf143a3b"},"schema_version":"1.0","source":{"id":"2412.01771","kind":"arxiv","version":2}},"canonical_sha256":"0511f73f3df10a121ad02236ab015d4e08460edf0cce2d7c6aa590f8b9846f9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0511f73f3df10a121ad02236ab015d4e08460edf0cce2d7c6aa590f8b9846f9d","first_computed_at":"2026-07-05T10:46:39.452259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:46:39.452259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JCCU72BHtgwJDl2+cb9i044+N5aPczsSth+syn6Sybqr3WzKs+FoB+hJ98YjQMEPDeACFagXRpA1A+fDGQAuAw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:46:39.452756Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.01771","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25e2407b592d2fa06e2b13ebaa91dfca68a3fef9ad7ea19263f8c47a7bf9c002","sha256:f377f4932f3cf2e37ec78b2fd567f6370f352f13cfe2b17bb133f9f88fea32a7"],"state_sha256":"43b320d64046b5a7edd8310f993636394dbb423024e2a657c8e336c3816a1453"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"prQyPiD2OizLY2Xi4Kmr5YS+x1KW3HAKLFTenneYgtJYTTjOs+pF+KQLfSK8ZO/syLqvc0LKnDzQm8BMsDECDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T08:57:20.230986Z","bundle_sha256":"df93a0d29739b3e2bc0076e627069d7ac05dd96c4872b58dc4363ccffb64437c"}}