{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:27MXLQEHIH4Y7VOIPKQ4DUSEZD","short_pith_number":"pith:27MXLQEH","canonical_record":{"source":{"id":"2501.14282","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-24T06:54:21Z","cross_cats_sorted":[],"title_canon_sha256":"7e03361efde5e1ef3b5f5a98b9cd70feacb6b0c6f1eff704ae09f40ecbb16ead","abstract_canon_sha256":"5f3a072de6b3aec594942612527491e086337d12387b2c6496a18e84d6cfec6a"},"schema_version":"1.0"},"canonical_sha256":"d7d975c08741f98fd5c87aa1c1d244c8ef0a8d3700879ecdb659dd7905d33e1d","source":{"kind":"arxiv","id":"2501.14282","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.14282","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"2501.14282v2","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14282","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"27MXLQEHIH4Y","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"pith_short_16","alias_value":"27MXLQEHIH4Y7VOI","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"pith_short_8","alias_value":"27MXLQEH","created_at":"2026-07-05T10:11:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:27MXLQEHIH4Y7VOIPKQ4DUSEZD","target":"record","payload":{"canonical_record":{"source":{"id":"2501.14282","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-24T06:54:21Z","cross_cats_sorted":[],"title_canon_sha256":"7e03361efde5e1ef3b5f5a98b9cd70feacb6b0c6f1eff704ae09f40ecbb16ead","abstract_canon_sha256":"5f3a072de6b3aec594942612527491e086337d12387b2c6496a18e84d6cfec6a"},"schema_version":"1.0"},"canonical_sha256":"d7d975c08741f98fd5c87aa1c1d244c8ef0a8d3700879ecdb659dd7905d33e1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:11:32.074060Z","signature_b64":"8EvvZ3j4DjDaQetr5B2v2jABhsdan6sZvh0CsmPonvTV58pVzHATSENP8vrJXxgq+IGbALE5XTi2zQWn8eV0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7d975c08741f98fd5c87aa1c1d244c8ef0a8d3700879ecdb659dd7905d33e1d","last_reissued_at":"2026-07-05T10:11:32.073678Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:11:32.073678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.14282","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":"2026-07-05T10:11:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tDp9Tb842D9lzJvX7OZ2sSUrK2+JRRMXS44xD464BYPiHJsIQcKLVzxWRPAVpIVLwKsdsxBVdYsMawARWz54CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:45:42.804743Z"},"content_sha256":"478f7eaa5dbb13991a8b7474fd40568d42fa108176d7ade6b39bbc2c3758bb7a","schema_version":"1.0","event_id":"sha256:478f7eaa5dbb13991a8b7474fd40568d42fa108176d7ade6b39bbc2c3758bb7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:27MXLQEHIH4Y7VOIPKQ4DUSEZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Herrera Complexity and Shadows of Spherically Symmetric Compact Objects","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Subhasis Nalui, Subhra Bhattacharya","submitted_at":"2025-01-24T06:54:21Z","abstract_excerpt":"In this work we investigate the effect of complexity factor on the formation of photon spheres for spherically symmetric compact objects. The complexity factor obtained from the orthogonal splitting of the Riemann curvature tensor connects the geometric attributes of a compact spherically symmetric gravitating object with its matter inhomogeneity and pressure anisotropy via a scalar term. The novelty of the complexity factor is the inherent simple definition that identifies the evolution of matter tensors inside a given region of space-time. Such identification helps to obtain an equivalence c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14282","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/2501.14282/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":"2026-07-05T10:11:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wqUPz7y6qFx1WCm9HpcBNhVdtF1Z82S0thbcc+N59hMgIJ/wf4vMJYDwmI2bStrxdtH4BxavTOCQ2jMq0jsnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:45:42.805345Z"},"content_sha256":"54fa612146a2ee8d6f0f25d986ea3e4f3a34ba0aeb00f1d47fd6dcc73b354e38","schema_version":"1.0","event_id":"sha256:54fa612146a2ee8d6f0f25d986ea3e4f3a34ba0aeb00f1d47fd6dcc73b354e38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27MXLQEHIH4Y7VOIPKQ4DUSEZD/bundle.json","state_url":"https://pith.science/pith/27MXLQEHIH4Y7VOIPKQ4DUSEZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27MXLQEHIH4Y7VOIPKQ4DUSEZD/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":"2026-08-22T05:45:42Z","links":{"resolver":"https://pith.science/pith/27MXLQEHIH4Y7VOIPKQ4DUSEZD","bundle":"https://pith.science/pith/27MXLQEHIH4Y7VOIPKQ4DUSEZD/bundle.json","state":"https://pith.science/pith/27MXLQEHIH4Y7VOIPKQ4DUSEZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27MXLQEHIH4Y7VOIPKQ4DUSEZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:27MXLQEHIH4Y7VOIPKQ4DUSEZD","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":"5f3a072de6b3aec594942612527491e086337d12387b2c6496a18e84d6cfec6a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-24T06:54:21Z","title_canon_sha256":"7e03361efde5e1ef3b5f5a98b9cd70feacb6b0c6f1eff704ae09f40ecbb16ead"},"schema_version":"1.0","source":{"id":"2501.14282","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.14282","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"arxiv_version","alias_value":"2501.14282v2","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.14282","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"pith_short_12","alias_value":"27MXLQEHIH4Y","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"pith_short_16","alias_value":"27MXLQEHIH4Y7VOI","created_at":"2026-07-05T10:11:32Z"},{"alias_kind":"pith_short_8","alias_value":"27MXLQEH","created_at":"2026-07-05T10:11:32Z"}],"graph_snapshots":[{"event_id":"sha256:54fa612146a2ee8d6f0f25d986ea3e4f3a34ba0aeb00f1d47fd6dcc73b354e38","target":"graph","created_at":"2026-07-05T10:11:32Z","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/2501.14282/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we investigate the effect of complexity factor on the formation of photon spheres for spherically symmetric compact objects. The complexity factor obtained from the orthogonal splitting of the Riemann curvature tensor connects the geometric attributes of a compact spherically symmetric gravitating object with its matter inhomogeneity and pressure anisotropy via a scalar term. The novelty of the complexity factor is the inherent simple definition that identifies the evolution of matter tensors inside a given region of space-time. Such identification helps to obtain an equivalence c","authors_text":"Subhasis Nalui, Subhra Bhattacharya","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-24T06:54:21Z","title":"Herrera Complexity and Shadows of Spherically Symmetric Compact Objects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.14282","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":"sha256:478f7eaa5dbb13991a8b7474fd40568d42fa108176d7ade6b39bbc2c3758bb7a","target":"record","created_at":"2026-07-05T10:11:32Z","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":"5f3a072de6b3aec594942612527491e086337d12387b2c6496a18e84d6cfec6a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-01-24T06:54:21Z","title_canon_sha256":"7e03361efde5e1ef3b5f5a98b9cd70feacb6b0c6f1eff704ae09f40ecbb16ead"},"schema_version":"1.0","source":{"id":"2501.14282","kind":"arxiv","version":2}},"canonical_sha256":"d7d975c08741f98fd5c87aa1c1d244c8ef0a8d3700879ecdb659dd7905d33e1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7d975c08741f98fd5c87aa1c1d244c8ef0a8d3700879ecdb659dd7905d33e1d","first_computed_at":"2026-07-05T10:11:32.073678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:11:32.073678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8EvvZ3j4DjDaQetr5B2v2jABhsdan6sZvh0CsmPonvTV58pVzHATSENP8vrJXxgq+IGbALE5XTi2zQWn8eV0Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T10:11:32.074060Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.14282","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:478f7eaa5dbb13991a8b7474fd40568d42fa108176d7ade6b39bbc2c3758bb7a","sha256:54fa612146a2ee8d6f0f25d986ea3e4f3a34ba0aeb00f1d47fd6dcc73b354e38"],"state_sha256":"8f62fdd0c5a4bcee0376197a5c0de89ef028b43d33a4ce66d62dc6e193f807cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B+bRhhKJbOSIoYgbOUXRltSPoXv512MDuBOsqWn3496rUDRX9g6r15N2vD32uW9PK+TPFGMHVYfda/CooHKwCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T05:45:42.811397Z","bundle_sha256":"03202c8b9da64d30a82500e37b709a2f654bda593e42632d7abf132860186355"}}