{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:XWXCCGCLXSVV23RJMZFUWBHVSX","short_pith_number":"pith:XWXCCGCL","canonical_record":{"source":{"id":"2106.03426","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-07T08:48:12Z","cross_cats_sorted":[],"title_canon_sha256":"6c48feefb96f05282e6f7899b72de7321e1e2d9e2e02be19a10a1c66893c723d","abstract_canon_sha256":"4c89cd7f6760a01cfa611f385393503e6d2e7fd3daf5ba0c5401d1537553b366"},"schema_version":"1.0"},"canonical_sha256":"bdae21184bbcab5d6e29664b4b04f595fd2d022c625ed12f1eaa75a30982896c","source":{"kind":"arxiv","id":"2106.03426","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.03426","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"2106.03426v2","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.03426","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"XWXCCGCLXSVV","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"pith_short_16","alias_value":"XWXCCGCLXSVV23RJ","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"pith_short_8","alias_value":"XWXCCGCL","created_at":"2026-07-05T03:38:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:XWXCCGCLXSVV23RJMZFUWBHVSX","target":"record","payload":{"canonical_record":{"source":{"id":"2106.03426","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-07T08:48:12Z","cross_cats_sorted":[],"title_canon_sha256":"6c48feefb96f05282e6f7899b72de7321e1e2d9e2e02be19a10a1c66893c723d","abstract_canon_sha256":"4c89cd7f6760a01cfa611f385393503e6d2e7fd3daf5ba0c5401d1537553b366"},"schema_version":"1.0"},"canonical_sha256":"bdae21184bbcab5d6e29664b4b04f595fd2d022c625ed12f1eaa75a30982896c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:38:20.575537Z","signature_b64":"mR1lXZORtpFQeRuzAugjzwUoaEYQQHt2szRTe+5I0XaQm404FG4RqIMG4H70IqvHORbAr48om6WtR+0brQPxCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdae21184bbcab5d6e29664b4b04f595fd2d022c625ed12f1eaa75a30982896c","last_reissued_at":"2026-07-05T03:38:20.575109Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:38:20.575109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.03426","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":"2026-07-05T03:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/RoI3XPIXXmgoMxWim1kXum2ILSBmhWlOAEN70wntRidVqYm+h4nCt7Auh1r1kLoBy2BNXiiC4JXQfDvfxkiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:39:15.291290Z"},"content_sha256":"c89af8e65de7193f5e2f9556a3b7c590ce7250b9663e253b9aa28a28a9a6a069","schema_version":"1.0","event_id":"sha256:c89af8e65de7193f5e2f9556a3b7c590ce7250b9663e253b9aa28a28a9a6a069"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:XWXCCGCLXSVV23RJMZFUWBHVSX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical external spherical solutions in entangled relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Denis Arruga, Olivier Minazzoli","submitted_at":"2021-06-07T08:48:12Z","abstract_excerpt":"In this manuscript, we present analytical external spherical solutions of entangled relativity, which we compare to numerical solutions obtained in a Tolman-Oppenheimer-Volkoff framework. Analytical and numerical solutions match perfectly well outside spherical compact objects, therefore validating both types of solutions at the same time. The analytical external (hairy) solutions -- which depend on two parameters only -- may be used in order to easily compute observables -- such as X-ray pusle profiles -- without having to rely on an unknown equation of state for matter inside the compact obj"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.03426","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/2106.03426/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":"2026-07-05T03:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j6hN9qptj721GzuuVPFyxzOjz06Xt+hPJcyEiqHcb18SnxiirZvVfZyzuWS447M/2cmlyJvCd5AlokgSyg+ZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T17:39:15.291800Z"},"content_sha256":"37dbbb50e888749c6e21e11ead9f788a77de4dd276d85d258c62f1ef5e435abb","schema_version":"1.0","event_id":"sha256:37dbbb50e888749c6e21e11ead9f788a77de4dd276d85d258c62f1ef5e435abb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XWXCCGCLXSVV23RJMZFUWBHVSX/bundle.json","state_url":"https://pith.science/pith/XWXCCGCLXSVV23RJMZFUWBHVSX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XWXCCGCLXSVV23RJMZFUWBHVSX/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":"2026-08-09T17:39:15Z","links":{"resolver":"https://pith.science/pith/XWXCCGCLXSVV23RJMZFUWBHVSX","bundle":"https://pith.science/pith/XWXCCGCLXSVV23RJMZFUWBHVSX/bundle.json","state":"https://pith.science/pith/XWXCCGCLXSVV23RJMZFUWBHVSX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XWXCCGCLXSVV23RJMZFUWBHVSX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XWXCCGCLXSVV23RJMZFUWBHVSX","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":"4c89cd7f6760a01cfa611f385393503e6d2e7fd3daf5ba0c5401d1537553b366","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-07T08:48:12Z","title_canon_sha256":"6c48feefb96f05282e6f7899b72de7321e1e2d9e2e02be19a10a1c66893c723d"},"schema_version":"1.0","source":{"id":"2106.03426","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.03426","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"2106.03426v2","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.03426","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"XWXCCGCLXSVV","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"pith_short_16","alias_value":"XWXCCGCLXSVV23RJ","created_at":"2026-07-05T03:38:20Z"},{"alias_kind":"pith_short_8","alias_value":"XWXCCGCL","created_at":"2026-07-05T03:38:20Z"}],"graph_snapshots":[{"event_id":"sha256:37dbbb50e888749c6e21e11ead9f788a77de4dd276d85d258c62f1ef5e435abb","target":"graph","created_at":"2026-07-05T03:38:20Z","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/2106.03426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this manuscript, we present analytical external spherical solutions of entangled relativity, which we compare to numerical solutions obtained in a Tolman-Oppenheimer-Volkoff framework. Analytical and numerical solutions match perfectly well outside spherical compact objects, therefore validating both types of solutions at the same time. The analytical external (hairy) solutions -- which depend on two parameters only -- may be used in order to easily compute observables -- such as X-ray pusle profiles -- without having to rely on an unknown equation of state for matter inside the compact obj","authors_text":"Denis Arruga, Olivier Minazzoli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-07T08:48:12Z","title":"Analytical external spherical solutions in entangled relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.03426","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:c89af8e65de7193f5e2f9556a3b7c590ce7250b9663e253b9aa28a28a9a6a069","target":"record","created_at":"2026-07-05T03:38:20Z","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":"4c89cd7f6760a01cfa611f385393503e6d2e7fd3daf5ba0c5401d1537553b366","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-06-07T08:48:12Z","title_canon_sha256":"6c48feefb96f05282e6f7899b72de7321e1e2d9e2e02be19a10a1c66893c723d"},"schema_version":"1.0","source":{"id":"2106.03426","kind":"arxiv","version":2}},"canonical_sha256":"bdae21184bbcab5d6e29664b4b04f595fd2d022c625ed12f1eaa75a30982896c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bdae21184bbcab5d6e29664b4b04f595fd2d022c625ed12f1eaa75a30982896c","first_computed_at":"2026-07-05T03:38:20.575109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:38:20.575109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mR1lXZORtpFQeRuzAugjzwUoaEYQQHt2szRTe+5I0XaQm404FG4RqIMG4H70IqvHORbAr48om6WtR+0brQPxCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:38:20.575537Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.03426","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c89af8e65de7193f5e2f9556a3b7c590ce7250b9663e253b9aa28a28a9a6a069","sha256:37dbbb50e888749c6e21e11ead9f788a77de4dd276d85d258c62f1ef5e435abb"],"state_sha256":"c20c035b859256163395e086d6858a99635de2504e1954fe13e458958a40f49a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rIRyNTfPrI73fI16xwDEcG7ibZrev3Sk0iZZJym9Q0/s7aA8pB+EesYlfk51oUN6FLuntKKYUIv97j5s/WfKDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T17:39:15.295779Z","bundle_sha256":"9f5b255a8d293fa1d60021467c673d40e7ee2cf62506d048c4332dc747298b0b"}}