{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LIKAUKDNKOT6QLSGSGUW4SWTBE","short_pith_number":"pith:LIKAUKDN","canonical_record":{"source":{"id":"2405.07531","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-05-13T07:58:03Z","cross_cats_sorted":[],"title_canon_sha256":"fbfc455c40437088b818ea3c3e11091a215b711b71c00eebd86b4994cc9b460a","abstract_canon_sha256":"0f7fbb9d550a7f09baf7c5485e369988d987ba8ac20067cec95e1445e93c33ea"},"schema_version":"1.0"},"canonical_sha256":"5a140a286d53a7e82e4691a96e4ad3091551777fd25a89dafc3b5c4564e5069c","source":{"kind":"arxiv","id":"2405.07531","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.07531","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"arxiv_version","alias_value":"2405.07531v2","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.07531","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"pith_short_12","alias_value":"LIKAUKDNKOT6","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"pith_short_16","alias_value":"LIKAUKDNKOT6QLSG","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"pith_short_8","alias_value":"LIKAUKDN","created_at":"2026-07-05T08:29:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LIKAUKDNKOT6QLSGSGUW4SWTBE","target":"record","payload":{"canonical_record":{"source":{"id":"2405.07531","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-05-13T07:58:03Z","cross_cats_sorted":[],"title_canon_sha256":"fbfc455c40437088b818ea3c3e11091a215b711b71c00eebd86b4994cc9b460a","abstract_canon_sha256":"0f7fbb9d550a7f09baf7c5485e369988d987ba8ac20067cec95e1445e93c33ea"},"schema_version":"1.0"},"canonical_sha256":"5a140a286d53a7e82e4691a96e4ad3091551777fd25a89dafc3b5c4564e5069c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:29:26.062431Z","signature_b64":"cs1eIyVq99bouY/wceArL7xRhW1En29NNqqWaPJES03IQ4Te/jVuHAsv0moFB3DUKxo7z30uvFh14ZllkpTuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a140a286d53a7e82e4691a96e4ad3091551777fd25a89dafc3b5c4564e5069c","last_reissued_at":"2026-07-05T08:29:26.061977Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:29:26.061977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.07531","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":"2026-07-05T08:29:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aUHsVM/OpdEvOetUN19h1fqvbpupT7sVohdI4Z5cMrPgZn7U0cvzLweaCT7ItNUq3BV2NYp6xZe7jdfoaPgrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T10:25:45.149332Z"},"content_sha256":"48cb7670cf0d7c79dba404a8ccb5db69904f2509026ba51e6bcd4b546434c0e0","schema_version":"1.0","event_id":"sha256:48cb7670cf0d7c79dba404a8ccb5db69904f2509026ba51e6bcd4b546434c0e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LIKAUKDNKOT6QLSGSGUW4SWTBE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Apparent and emergent dark matter around a Schwarzschild black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Reggie C. Pantig","submitted_at":"2024-05-13T07:58:03Z","abstract_excerpt":"Inspired by the two different dark matter frameworks that were studied recently: one that arises from the non-local effects of entanglement entropy as emergent gravity (characterized by the parameter $\\xi(M)$, and zero-point scale length $l$), and one from dark energy viewed as a superconducting medium (characterized by $\\eta(M)$, and screening length parameter $\\lambda_{\\rm G}$), two black hole solutions spherically surrounded with these dark matter models were derived. The effect of these two frameworks on SMBH was analyzed through the resulting deviations in the null regions and the black h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.07531","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/2405.07531/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":"2026-07-05T08:29:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2iAtKz4E9wjvkSndv7gkiWRbzHSGFWOfIs0PDFVEiZa5YIrvMWAEDWWKHRrh/kTTGCkfOXyxUc0EXjXfMKlMCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T10:25:45.149822Z"},"content_sha256":"31d11ba679b9fd6b34d2ed015f7f8f099164ef834c789143bd4d654c3d51d849","schema_version":"1.0","event_id":"sha256:31d11ba679b9fd6b34d2ed015f7f8f099164ef834c789143bd4d654c3d51d849"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIKAUKDNKOT6QLSGSGUW4SWTBE/bundle.json","state_url":"https://pith.science/pith/LIKAUKDNKOT6QLSGSGUW4SWTBE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIKAUKDNKOT6QLSGSGUW4SWTBE/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":"2026-08-05T10:25:45Z","links":{"resolver":"https://pith.science/pith/LIKAUKDNKOT6QLSGSGUW4SWTBE","bundle":"https://pith.science/pith/LIKAUKDNKOT6QLSGSGUW4SWTBE/bundle.json","state":"https://pith.science/pith/LIKAUKDNKOT6QLSGSGUW4SWTBE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIKAUKDNKOT6QLSGSGUW4SWTBE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LIKAUKDNKOT6QLSGSGUW4SWTBE","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":"0f7fbb9d550a7f09baf7c5485e369988d987ba8ac20067cec95e1445e93c33ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-05-13T07:58:03Z","title_canon_sha256":"fbfc455c40437088b818ea3c3e11091a215b711b71c00eebd86b4994cc9b460a"},"schema_version":"1.0","source":{"id":"2405.07531","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.07531","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"arxiv_version","alias_value":"2405.07531v2","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.07531","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"pith_short_12","alias_value":"LIKAUKDNKOT6","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"pith_short_16","alias_value":"LIKAUKDNKOT6QLSG","created_at":"2026-07-05T08:29:26Z"},{"alias_kind":"pith_short_8","alias_value":"LIKAUKDN","created_at":"2026-07-05T08:29:26Z"}],"graph_snapshots":[{"event_id":"sha256:31d11ba679b9fd6b34d2ed015f7f8f099164ef834c789143bd4d654c3d51d849","target":"graph","created_at":"2026-07-05T08:29:26Z","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/2405.07531/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Inspired by the two different dark matter frameworks that were studied recently: one that arises from the non-local effects of entanglement entropy as emergent gravity (characterized by the parameter $\\xi(M)$, and zero-point scale length $l$), and one from dark energy viewed as a superconducting medium (characterized by $\\eta(M)$, and screening length parameter $\\lambda_{\\rm G}$), two black hole solutions spherically surrounded with these dark matter models were derived. The effect of these two frameworks on SMBH was analyzed through the resulting deviations in the null regions and the black h","authors_text":"Reggie C. Pantig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-05-13T07:58:03Z","title":"Apparent and emergent dark matter around a Schwarzschild black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.07531","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":"sha256:48cb7670cf0d7c79dba404a8ccb5db69904f2509026ba51e6bcd4b546434c0e0","target":"record","created_at":"2026-07-05T08:29:26Z","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":"0f7fbb9d550a7f09baf7c5485e369988d987ba8ac20067cec95e1445e93c33ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-05-13T07:58:03Z","title_canon_sha256":"fbfc455c40437088b818ea3c3e11091a215b711b71c00eebd86b4994cc9b460a"},"schema_version":"1.0","source":{"id":"2405.07531","kind":"arxiv","version":2}},"canonical_sha256":"5a140a286d53a7e82e4691a96e4ad3091551777fd25a89dafc3b5c4564e5069c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a140a286d53a7e82e4691a96e4ad3091551777fd25a89dafc3b5c4564e5069c","first_computed_at":"2026-07-05T08:29:26.061977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:29:26.061977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cs1eIyVq99bouY/wceArL7xRhW1En29NNqqWaPJES03IQ4Te/jVuHAsv0moFB3DUKxo7z30uvFh14ZllkpTuAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:29:26.062431Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.07531","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48cb7670cf0d7c79dba404a8ccb5db69904f2509026ba51e6bcd4b546434c0e0","sha256:31d11ba679b9fd6b34d2ed015f7f8f099164ef834c789143bd4d654c3d51d849"],"state_sha256":"62ed2b82e9239cdce11d00c1b829141007778ba3901b11e4e8973a24f2d81206"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7TlpMuIVKjBr3xA1ofXQMsk9T8vDimx5p+Vpcf5xTbhYbSdYqtaindCE0FxQcGrOtgOSFJ7Tgtfs75UyvZCCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T10:25:45.153429Z","bundle_sha256":"7c4631894fdf4a56fd97b568739c8f74ccaba0b7a918da7c09a5180886f4cdc2"}}