{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:Y3ISUWKX2TS35THBD3NDG4HG5G","short_pith_number":"pith:Y3ISUWKX","canonical_record":{"source":{"id":"1309.5833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-23T15:12:44Z","cross_cats_sorted":[],"title_canon_sha256":"44753e21496729dccdf359a564c4ede99e30ee6b53100437a84ea5b6599fd4a5","abstract_canon_sha256":"0589b9df15923891a2c5de82083dd0634cb4901adac6ed41a9fa0fe9e4f8001d"},"schema_version":"1.0"},"canonical_sha256":"c6d12a5957d4e5becce11eda3370e6e98080236524182cc54f147c6e8d8c9553","source":{"kind":"arxiv","id":"1309.5833","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5833","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5833v2","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5833","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"pith_short_12","alias_value":"Y3ISUWKX2TS3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y3ISUWKX2TS35THB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y3ISUWKX","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:Y3ISUWKX2TS35THBD3NDG4HG5G","target":"record","payload":{"canonical_record":{"source":{"id":"1309.5833","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-23T15:12:44Z","cross_cats_sorted":[],"title_canon_sha256":"44753e21496729dccdf359a564c4ede99e30ee6b53100437a84ea5b6599fd4a5","abstract_canon_sha256":"0589b9df15923891a2c5de82083dd0634cb4901adac6ed41a9fa0fe9e4f8001d"},"schema_version":"1.0"},"canonical_sha256":"c6d12a5957d4e5becce11eda3370e6e98080236524182cc54f147c6e8d8c9553","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:35.145763Z","signature_b64":"19cwbnH2AX60ypQmSwgDEVJkrfUm8ZNpPe3+S41UAaoCQ+jCk8Qh9g6pXiaqtvL3hf3gMbNzt3lCTEXOLM5cCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6d12a5957d4e5becce11eda3370e6e98080236524182cc54f147c6e8d8c9553","last_reissued_at":"2026-05-18T03:06:35.145202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:35.145202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.5833","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":"2026-05-18T03:06:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PInw1d2SWY5Q9seYCxpRuBN3GOrGdd7B59XsOIrWHrZJ7iyMFjE5emCkhUZ0AMTMLJPXcOQkspTy8K7rrNLOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:58:08.517617Z"},"content_sha256":"4064f242015b39f84e90a6bffdea792c8173a7dc2e59d8da77b585b1bf77e424","schema_version":"1.0","event_id":"sha256:4064f242015b39f84e90a6bffdea792c8173a7dc2e59d8da77b585b1bf77e424"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:Y3ISUWKX2TS35THBD3NDG4HG5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of the Refractive Index on the Hawking Temperature: An Application of the Hamilton-Jacobi Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"I. Sakalli, S.F. Mirekhtiary","submitted_at":"2013-09-23T15:12:44Z","abstract_excerpt":"Hawking radiation of a non-asymptotically flat (NAF) 4-dimensional spherically symmetric and static dilatonic black hole (BH) via the Hamilton-Jacobi (HJ) method has been studied. In addition to the naive coordinates, we have used four more different coordinate systems which are well-behaved at the horizon. Except the isotropic coordinates, direct computation of the HJ method leads us the standard Hawking temperature for all coordinate systems. The isotropic coordinates render possible to get the index of refraction extracting from the Fermat metric. It is explicitly shown that the index of re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5833","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":""},"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":"2026-05-18T03:06:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rGag+XigDxwfnlEdl9uxUpLYKgtG6Qc4r8E8YWLOT+Gvae4e9v3WFh1vv3976ElW334NrCxnlN1olkLygN90Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:58:08.518441Z"},"content_sha256":"524c7103f223571e8d8dd84b353f507e8745c48abd4c09530bc8bb7e3df5d5a7","schema_version":"1.0","event_id":"sha256:524c7103f223571e8d8dd84b353f507e8745c48abd4c09530bc8bb7e3df5d5a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3ISUWKX2TS35THBD3NDG4HG5G/bundle.json","state_url":"https://pith.science/pith/Y3ISUWKX2TS35THBD3NDG4HG5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3ISUWKX2TS35THBD3NDG4HG5G/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":"2026-05-30T10:58:08Z","links":{"resolver":"https://pith.science/pith/Y3ISUWKX2TS35THBD3NDG4HG5G","bundle":"https://pith.science/pith/Y3ISUWKX2TS35THBD3NDG4HG5G/bundle.json","state":"https://pith.science/pith/Y3ISUWKX2TS35THBD3NDG4HG5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3ISUWKX2TS35THBD3NDG4HG5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Y3ISUWKX2TS35THBD3NDG4HG5G","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":"0589b9df15923891a2c5de82083dd0634cb4901adac6ed41a9fa0fe9e4f8001d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-23T15:12:44Z","title_canon_sha256":"44753e21496729dccdf359a564c4ede99e30ee6b53100437a84ea5b6599fd4a5"},"schema_version":"1.0","source":{"id":"1309.5833","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.5833","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"arxiv_version","alias_value":"1309.5833v2","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.5833","created_at":"2026-05-18T03:06:35Z"},{"alias_kind":"pith_short_12","alias_value":"Y3ISUWKX2TS3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y3ISUWKX2TS35THB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y3ISUWKX","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:524c7103f223571e8d8dd84b353f507e8745c48abd4c09530bc8bb7e3df5d5a7","target":"graph","created_at":"2026-05-18T03:06:35Z","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":"Hawking radiation of a non-asymptotically flat (NAF) 4-dimensional spherically symmetric and static dilatonic black hole (BH) via the Hamilton-Jacobi (HJ) method has been studied. In addition to the naive coordinates, we have used four more different coordinate systems which are well-behaved at the horizon. Except the isotropic coordinates, direct computation of the HJ method leads us the standard Hawking temperature for all coordinate systems. The isotropic coordinates render possible to get the index of refraction extracting from the Fermat metric. It is explicitly shown that the index of re","authors_text":"I. Sakalli, S.F. Mirekhtiary","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-23T15:12:44Z","title":"Effect of the Refractive Index on the Hawking Temperature: An Application of the Hamilton-Jacobi Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.5833","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":"sha256:4064f242015b39f84e90a6bffdea792c8173a7dc2e59d8da77b585b1bf77e424","target":"record","created_at":"2026-05-18T03:06:35Z","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":"0589b9df15923891a2c5de82083dd0634cb4901adac6ed41a9fa0fe9e4f8001d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-09-23T15:12:44Z","title_canon_sha256":"44753e21496729dccdf359a564c4ede99e30ee6b53100437a84ea5b6599fd4a5"},"schema_version":"1.0","source":{"id":"1309.5833","kind":"arxiv","version":2}},"canonical_sha256":"c6d12a5957d4e5becce11eda3370e6e98080236524182cc54f147c6e8d8c9553","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6d12a5957d4e5becce11eda3370e6e98080236524182cc54f147c6e8d8c9553","first_computed_at":"2026-05-18T03:06:35.145202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:35.145202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"19cwbnH2AX60ypQmSwgDEVJkrfUm8ZNpPe3+S41UAaoCQ+jCk8Qh9g6pXiaqtvL3hf3gMbNzt3lCTEXOLM5cCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:35.145763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.5833","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4064f242015b39f84e90a6bffdea792c8173a7dc2e59d8da77b585b1bf77e424","sha256:524c7103f223571e8d8dd84b353f507e8745c48abd4c09530bc8bb7e3df5d5a7"],"state_sha256":"4e1c377e5a62fbf1e204ac2bcd7ee4a62489c68ff8f9569443b408908f5ee507"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hFK01Neey0RlySM8v8yGqieK9N/oESS2VP+IznUqgxfe9mmzh876i2BRKjXSkvZ6CXGfNGEXbHXUqzP8zzHHAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:58:08.522585Z","bundle_sha256":"af6294c1c5166d1c46dc6014f7cb8da5d1f20eceb7eb6477915434e7f42e5ab0"}}