{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Y5OYN6JFBR3D5SY4BDJCFV7YZW","short_pith_number":"pith:Y5OYN6JF","canonical_record":{"source":{"id":"1501.01540","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-07T16:19:54Z","cross_cats_sorted":[],"title_canon_sha256":"43c0b19c44d6cba84e262da0c1d4373a5d91914cee60a9589ec848be5d34b476","abstract_canon_sha256":"e2b73041b92787435bf32b70868c80892dfb53f61df67e4bf71fddce75d03e9d"},"schema_version":"1.0"},"canonical_sha256":"c75d86f9250c763ecb1c08d222d7f8cd9e13f02b5017e34cb76bad8adb361e62","source":{"kind":"arxiv","id":"1501.01540","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01540","created_at":"2026-05-18T01:41:47Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01540v1","created_at":"2026-05-18T01:41:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01540","created_at":"2026-05-18T01:41:47Z"},{"alias_kind":"pith_short_12","alias_value":"Y5OYN6JFBR3D","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y5OYN6JFBR3D5SY4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y5OYN6JF","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Y5OYN6JFBR3D5SY4BDJCFV7YZW","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01540","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-07T16:19:54Z","cross_cats_sorted":[],"title_canon_sha256":"43c0b19c44d6cba84e262da0c1d4373a5d91914cee60a9589ec848be5d34b476","abstract_canon_sha256":"e2b73041b92787435bf32b70868c80892dfb53f61df67e4bf71fddce75d03e9d"},"schema_version":"1.0"},"canonical_sha256":"c75d86f9250c763ecb1c08d222d7f8cd9e13f02b5017e34cb76bad8adb361e62","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:47.757356Z","signature_b64":"ya8D4auWBuGh57lIwoi39ovDiy8bcRJJHcOxWSKvgA/0DpBqelVWZ2d78rYFZG5AQakK+HzObumMdwOjX3z4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c75d86f9250c763ecb1c08d222d7f8cd9e13f02b5017e34cb76bad8adb361e62","last_reissued_at":"2026-05-18T01:41:47.756864Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:47.756864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01540","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":"2026-05-18T01:41:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ODkMinuGnKMaFRBxz0OknUCmXQhMC6h4etws+Yc+WqKv25EeFlPQFbIsXHrwa+7IQrXrclT2/p4GW3TTIy0gBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:08:25.729547Z"},"content_sha256":"b4ed701a4264bb1659cec2043b8a7dd76e6667644c1a84cb239ed7620e98bcd9","schema_version":"1.0","event_id":"sha256:b4ed701a4264bb1659cec2043b8a7dd76e6667644c1a84cb239ed7620e98bcd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Y5OYN6JFBR3D5SY4BDJCFV7YZW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stress-energy tensor of a radiating sphere inclosing black hole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Maciek Wielgus, Marek A. Abramowicz","submitted_at":"2015-01-07T16:19:54Z","abstract_excerpt":"We consider a uniformly luminous radiating sphere and a static black hole located in the center of that sphere. We give analytic formulas for radiation stress-energy tensor components in such a configuration, for the observer located at an arbitrary distance from the static black hole horizon."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01540","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":""},"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":"2026-05-18T01:41:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RLz8mBW3KjCm7I+jHW0+ai8GGr8klSr49cHFpgnPz5kXi2OItXkOwU81b/0JYajgVK6TfbxvQGm/fla5+S3MAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T23:08:25.729881Z"},"content_sha256":"ede1b386e0b5b13be1bdb5a7a54da3420203b1927cc25787048a1ab41fb3852c","schema_version":"1.0","event_id":"sha256:ede1b386e0b5b13be1bdb5a7a54da3420203b1927cc25787048a1ab41fb3852c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y5OYN6JFBR3D5SY4BDJCFV7YZW/bundle.json","state_url":"https://pith.science/pith/Y5OYN6JFBR3D5SY4BDJCFV7YZW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y5OYN6JFBR3D5SY4BDJCFV7YZW/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":"2026-06-02T23:08:25Z","links":{"resolver":"https://pith.science/pith/Y5OYN6JFBR3D5SY4BDJCFV7YZW","bundle":"https://pith.science/pith/Y5OYN6JFBR3D5SY4BDJCFV7YZW/bundle.json","state":"https://pith.science/pith/Y5OYN6JFBR3D5SY4BDJCFV7YZW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y5OYN6JFBR3D5SY4BDJCFV7YZW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Y5OYN6JFBR3D5SY4BDJCFV7YZW","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":"e2b73041b92787435bf32b70868c80892dfb53f61df67e4bf71fddce75d03e9d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-07T16:19:54Z","title_canon_sha256":"43c0b19c44d6cba84e262da0c1d4373a5d91914cee60a9589ec848be5d34b476"},"schema_version":"1.0","source":{"id":"1501.01540","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01540","created_at":"2026-05-18T01:41:47Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01540v1","created_at":"2026-05-18T01:41:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01540","created_at":"2026-05-18T01:41:47Z"},{"alias_kind":"pith_short_12","alias_value":"Y5OYN6JFBR3D","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"Y5OYN6JFBR3D5SY4","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"Y5OYN6JF","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:ede1b386e0b5b13be1bdb5a7a54da3420203b1927cc25787048a1ab41fb3852c","target":"graph","created_at":"2026-05-18T01:41:47Z","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"},"paper":{"abstract_excerpt":"We consider a uniformly luminous radiating sphere and a static black hole located in the center of that sphere. We give analytic formulas for radiation stress-energy tensor components in such a configuration, for the observer located at an arbitrary distance from the static black hole horizon.","authors_text":"Maciek Wielgus, Marek A. Abramowicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-07T16:19:54Z","title":"Stress-energy tensor of a radiating sphere inclosing black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01540","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:b4ed701a4264bb1659cec2043b8a7dd76e6667644c1a84cb239ed7620e98bcd9","target":"record","created_at":"2026-05-18T01:41:47Z","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":"e2b73041b92787435bf32b70868c80892dfb53f61df67e4bf71fddce75d03e9d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-01-07T16:19:54Z","title_canon_sha256":"43c0b19c44d6cba84e262da0c1d4373a5d91914cee60a9589ec848be5d34b476"},"schema_version":"1.0","source":{"id":"1501.01540","kind":"arxiv","version":1}},"canonical_sha256":"c75d86f9250c763ecb1c08d222d7f8cd9e13f02b5017e34cb76bad8adb361e62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c75d86f9250c763ecb1c08d222d7f8cd9e13f02b5017e34cb76bad8adb361e62","first_computed_at":"2026-05-18T01:41:47.756864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:47.756864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ya8D4auWBuGh57lIwoi39ovDiy8bcRJJHcOxWSKvgA/0DpBqelVWZ2d78rYFZG5AQakK+HzObumMdwOjX3z4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:47.757356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01540","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4ed701a4264bb1659cec2043b8a7dd76e6667644c1a84cb239ed7620e98bcd9","sha256:ede1b386e0b5b13be1bdb5a7a54da3420203b1927cc25787048a1ab41fb3852c"],"state_sha256":"f49e5a5b7cb21c0499fd5a4004af351766798461443b408fbd64d1e01b85d69f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ODhvDgJgiHvbtY2Sn41EU6NGz+XAFS5TYPl4pg7PW6PNm6s459sR/2NssKlHTvjHbACBGlV3N50+Py97yvyUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T23:08:25.731729Z","bundle_sha256":"572e66814d2ca5f7d3549e3c720a8abd2f25f4d4cb02c0c817fc62db8dd8ccc7"}}