{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:D7YEYE73ZI7AKIIXTGNLN3ILTV","short_pith_number":"pith:D7YEYE73","canonical_record":{"source":{"id":"1510.04022","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-14T09:48:08Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"901b0c77837dc0bd17fd831990bfee820781daf39ae72773b4176af66afb3a29","abstract_canon_sha256":"8a94ea2695a40d0dd6ff0e071fb31a1af99783bb9c2eea6ba95a6b0bb38c1e67"},"schema_version":"1.0"},"canonical_sha256":"1ff04c13fbca3e052117999ab6ed0b9d4e7fa93f2cffd88ef1c34a91052dc93d","source":{"kind":"arxiv","id":"1510.04022","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04022","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04022v1","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04022","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"pith_short_12","alias_value":"D7YEYE73ZI7A","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D7YEYE73ZI7AKIIX","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D7YEYE73","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:D7YEYE73ZI7AKIIXTGNLN3ILTV","target":"record","payload":{"canonical_record":{"source":{"id":"1510.04022","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-14T09:48:08Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"901b0c77837dc0bd17fd831990bfee820781daf39ae72773b4176af66afb3a29","abstract_canon_sha256":"8a94ea2695a40d0dd6ff0e071fb31a1af99783bb9c2eea6ba95a6b0bb38c1e67"},"schema_version":"1.0"},"canonical_sha256":"1ff04c13fbca3e052117999ab6ed0b9d4e7fa93f2cffd88ef1c34a91052dc93d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:18.591412Z","signature_b64":"DRG9+HZlCKteb/inU8/xpQg+LmhnC0vcvhm2EcEqIpiSHxkVCmd2AHTGMrxHecpCB25cZrgRwbHHviRsv6ZWAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ff04c13fbca3e052117999ab6ed0b9d4e7fa93f2cffd88ef1c34a91052dc93d","last_reissued_at":"2026-05-18T01:17:18.590877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:18.590877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.04022","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":"2026-05-18T01:17:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eN7lqVjSskhW1VocuZdLluKq6zuB8PfvusDdQ9h9aDlCLyJ4vXBRR7XACRN53C132eljH9jofCSx9aFTROV7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:35:05.348950Z"},"content_sha256":"36893338c8831a00ab11014254b62f7d6579502a058fa0ae904827030e6dfdac","schema_version":"1.0","event_id":"sha256:36893338c8831a00ab11014254b62f7d6579502a058fa0ae904827030e6dfdac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:D7YEYE73ZI7AKIIXTGNLN3ILTV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of the static and asymptotically flat Einstein-Maxwell-dilaton spacetimes with a photon sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Boian Lazov, Stoytcho Yazadjiev","submitted_at":"2015-10-14T09:48:08Z","abstract_excerpt":"We consider the problem for the classification of static and asymptotically flat Einstein-Maxwell-dilaton spacetimes with a photon sphere. It is first proven that the photon spheres in Einstein-Maxwell-dilaton gravity have constant mean and constant scalar curvature. Then we derive some relations between the mean curvature and the physical characteristics of the photon spheres. Using further the symmetries of the dimensionally reduced Einstein-Maxwell-dilaton field equations we show that the lapse function, the electrostatic potential and the dilaton field are functionally dependent in the pre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04022","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":"2026-05-18T01:17:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kcc3BV2mVIh6tQDT0ZqhVXWolNqKmzxtkVmpnTNQcZKN+p43Sad/MmW72SCIM0/huUd6uMQeVR6Ip0qQfKmUCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:35:05.349293Z"},"content_sha256":"9989a205995c0a45517e905b2ca91d66e79e1e00b8b4b0caa63b692c5e513da1","schema_version":"1.0","event_id":"sha256:9989a205995c0a45517e905b2ca91d66e79e1e00b8b4b0caa63b692c5e513da1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D7YEYE73ZI7AKIIXTGNLN3ILTV/bundle.json","state_url":"https://pith.science/pith/D7YEYE73ZI7AKIIXTGNLN3ILTV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D7YEYE73ZI7AKIIXTGNLN3ILTV/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":"2026-07-04T06:35:05Z","links":{"resolver":"https://pith.science/pith/D7YEYE73ZI7AKIIXTGNLN3ILTV","bundle":"https://pith.science/pith/D7YEYE73ZI7AKIIXTGNLN3ILTV/bundle.json","state":"https://pith.science/pith/D7YEYE73ZI7AKIIXTGNLN3ILTV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D7YEYE73ZI7AKIIXTGNLN3ILTV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:D7YEYE73ZI7AKIIXTGNLN3ILTV","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":"8a94ea2695a40d0dd6ff0e071fb31a1af99783bb9c2eea6ba95a6b0bb38c1e67","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-14T09:48:08Z","title_canon_sha256":"901b0c77837dc0bd17fd831990bfee820781daf39ae72773b4176af66afb3a29"},"schema_version":"1.0","source":{"id":"1510.04022","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04022","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04022v1","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04022","created_at":"2026-05-18T01:17:18Z"},{"alias_kind":"pith_short_12","alias_value":"D7YEYE73ZI7A","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"D7YEYE73ZI7AKIIX","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"D7YEYE73","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:9989a205995c0a45517e905b2ca91d66e79e1e00b8b4b0caa63b692c5e513da1","target":"graph","created_at":"2026-05-18T01:17:18Z","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 the problem for the classification of static and asymptotically flat Einstein-Maxwell-dilaton spacetimes with a photon sphere. It is first proven that the photon spheres in Einstein-Maxwell-dilaton gravity have constant mean and constant scalar curvature. Then we derive some relations between the mean curvature and the physical characteristics of the photon spheres. Using further the symmetries of the dimensionally reduced Einstein-Maxwell-dilaton field equations we show that the lapse function, the electrostatic potential and the dilaton field are functionally dependent in the pre","authors_text":"Boian Lazov, Stoytcho Yazadjiev","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-14T09:48:08Z","title":"Classification of the static and asymptotically flat Einstein-Maxwell-dilaton spacetimes with a photon sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04022","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":"sha256:36893338c8831a00ab11014254b62f7d6579502a058fa0ae904827030e6dfdac","target":"record","created_at":"2026-05-18T01:17:18Z","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":"8a94ea2695a40d0dd6ff0e071fb31a1af99783bb9c2eea6ba95a6b0bb38c1e67","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-10-14T09:48:08Z","title_canon_sha256":"901b0c77837dc0bd17fd831990bfee820781daf39ae72773b4176af66afb3a29"},"schema_version":"1.0","source":{"id":"1510.04022","kind":"arxiv","version":1}},"canonical_sha256":"1ff04c13fbca3e052117999ab6ed0b9d4e7fa93f2cffd88ef1c34a91052dc93d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ff04c13fbca3e052117999ab6ed0b9d4e7fa93f2cffd88ef1c34a91052dc93d","first_computed_at":"2026-05-18T01:17:18.590877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:18.590877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DRG9+HZlCKteb/inU8/xpQg+LmhnC0vcvhm2EcEqIpiSHxkVCmd2AHTGMrxHecpCB25cZrgRwbHHviRsv6ZWAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:18.591412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04022","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36893338c8831a00ab11014254b62f7d6579502a058fa0ae904827030e6dfdac","sha256:9989a205995c0a45517e905b2ca91d66e79e1e00b8b4b0caa63b692c5e513da1"],"state_sha256":"8e35088480a019e00beee628658b8f848dd9696d459d606f85825bca00a22230"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8AmFLIwZgA3Aen7VCcx4QqObHMADbsb7AslCL8o06XUKifWALRycGnhUTLgQBdq7DO4/fFWv6n7yBAfUHz1sBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T06:35:05.351342Z","bundle_sha256":"fb26c66367e7368e09ae6f8388a1d8c2ae59ccc6f741304430b41a0d079bcebd"}}