{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:BXZWQFXZOJBIJ76P5F3TTIHF7W","short_pith_number":"pith:BXZWQFXZ","canonical_record":{"source":{"id":"0708.3203","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-08-23T16:39:30Z","cross_cats_sorted":[],"title_canon_sha256":"f7031bf836703cb645142aaf51daf37b3cba32170d9ea591942286d3121c0d62","abstract_canon_sha256":"7d979364ad99052686356eb496c5d82bd6325f615527d33803c3a40492a76b90"},"schema_version":"1.0"},"canonical_sha256":"0df36816f9724284ffcfe97739a0e5fdaff45e81909432e7dd001f47ad48a7a8","source":{"kind":"arxiv","id":"0708.3203","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.3203","created_at":"2026-05-18T02:16:28Z"},{"alias_kind":"arxiv_version","alias_value":"0708.3203v1","created_at":"2026-05-18T02:16:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.3203","created_at":"2026-05-18T02:16:28Z"},{"alias_kind":"pith_short_12","alias_value":"BXZWQFXZOJBI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"BXZWQFXZOJBIJ76P","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"BXZWQFXZ","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:BXZWQFXZOJBIJ76P5F3TTIHF7W","target":"record","payload":{"canonical_record":{"source":{"id":"0708.3203","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-08-23T16:39:30Z","cross_cats_sorted":[],"title_canon_sha256":"f7031bf836703cb645142aaf51daf37b3cba32170d9ea591942286d3121c0d62","abstract_canon_sha256":"7d979364ad99052686356eb496c5d82bd6325f615527d33803c3a40492a76b90"},"schema_version":"1.0"},"canonical_sha256":"0df36816f9724284ffcfe97739a0e5fdaff45e81909432e7dd001f47ad48a7a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:28.449738Z","signature_b64":"ApiCTkgGYfNAuC97/i77y0R+c4b7z78XvQ4hfn6houmfqN9Ad26qaTdRK812+NnVgAD3x9fzl6Y+pIKP2GHQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0df36816f9724284ffcfe97739a0e5fdaff45e81909432e7dd001f47ad48a7a8","last_reissued_at":"2026-05-18T02:16:28.449000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:28.449000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0708.3203","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":"2026-05-18T02:16:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3WKSEEFNdYnnLceBWFuja+l33NL4M/veFdTEpQmf1gsHY+D6Eeme3keAerZGUi14n1UejAwTy1qZsVe8fLmpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T23:03:30.138752Z"},"content_sha256":"1ab1bd802968995afbbbb08a439e07fda616aee6fb7ceafe4a8419559584533e","schema_version":"1.0","event_id":"sha256:1ab1bd802968995afbbbb08a439e07fda616aee6fb7ceafe4a8419559584533e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:BXZWQFXZOJBIJ76P5F3TTIHF7W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scalar-tensor black holes coupled to Euler-Heisenberg nonlinear electrodynamics","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ivan Zh. Stefanov, Michail D. Todorov, Stoytcho S. Yazadjiev","submitted_at":"2007-08-23T16:39:30Z","abstract_excerpt":"The no-scalar-hair conjecture rules out the existence of asymptotically flat black holes with a scalar dressing for a large class of theories. No-scalar-hair theorems have been proved for the cases of neutral black holes and for charged black holes in the Maxwell electrodynamics. These theorems, however, do not apply in the case of non-linear electrodynamics. In the present work numerical solutions describing charged black holes coupled to Euler-Heisenberg type non-linear electrodynamics in scalar-tensor theories of gravity with massless scalar field are found. In comparison to the correspondi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.3203","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":"2026-05-18T02:16:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fuZEoOALooUoEVd/Yc+hzAd5hkP1SrxRJn8mrg1K2LM8bdHVcRxh0tXZbpeqXhipCRu+GbG+egyGNXBOnVHFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T23:03:30.139207Z"},"content_sha256":"1c8ea881fa9795d00c71cbbf84a4b4452422c2003a688c9bc58ca60fbe7afddd","schema_version":"1.0","event_id":"sha256:1c8ea881fa9795d00c71cbbf84a4b4452422c2003a688c9bc58ca60fbe7afddd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BXZWQFXZOJBIJ76P5F3TTIHF7W/bundle.json","state_url":"https://pith.science/pith/BXZWQFXZOJBIJ76P5F3TTIHF7W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BXZWQFXZOJBIJ76P5F3TTIHF7W/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":"2026-06-24T23:03:30Z","links":{"resolver":"https://pith.science/pith/BXZWQFXZOJBIJ76P5F3TTIHF7W","bundle":"https://pith.science/pith/BXZWQFXZOJBIJ76P5F3TTIHF7W/bundle.json","state":"https://pith.science/pith/BXZWQFXZOJBIJ76P5F3TTIHF7W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BXZWQFXZOJBIJ76P5F3TTIHF7W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:BXZWQFXZOJBIJ76P5F3TTIHF7W","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":"7d979364ad99052686356eb496c5d82bd6325f615527d33803c3a40492a76b90","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-08-23T16:39:30Z","title_canon_sha256":"f7031bf836703cb645142aaf51daf37b3cba32170d9ea591942286d3121c0d62"},"schema_version":"1.0","source":{"id":"0708.3203","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.3203","created_at":"2026-05-18T02:16:28Z"},{"alias_kind":"arxiv_version","alias_value":"0708.3203v1","created_at":"2026-05-18T02:16:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.3203","created_at":"2026-05-18T02:16:28Z"},{"alias_kind":"pith_short_12","alias_value":"BXZWQFXZOJBI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"BXZWQFXZOJBIJ76P","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"BXZWQFXZ","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:1c8ea881fa9795d00c71cbbf84a4b4452422c2003a688c9bc58ca60fbe7afddd","target":"graph","created_at":"2026-05-18T02:16:28Z","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":"The no-scalar-hair conjecture rules out the existence of asymptotically flat black holes with a scalar dressing for a large class of theories. No-scalar-hair theorems have been proved for the cases of neutral black holes and for charged black holes in the Maxwell electrodynamics. These theorems, however, do not apply in the case of non-linear electrodynamics. In the present work numerical solutions describing charged black holes coupled to Euler-Heisenberg type non-linear electrodynamics in scalar-tensor theories of gravity with massless scalar field are found. In comparison to the correspondi","authors_text":"Ivan Zh. Stefanov, Michail D. Todorov, Stoytcho S. Yazadjiev","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-08-23T16:39:30Z","title":"Scalar-tensor black holes coupled to Euler-Heisenberg nonlinear electrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.3203","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":"sha256:1ab1bd802968995afbbbb08a439e07fda616aee6fb7ceafe4a8419559584533e","target":"record","created_at":"2026-05-18T02:16:28Z","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":"7d979364ad99052686356eb496c5d82bd6325f615527d33803c3a40492a76b90","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-08-23T16:39:30Z","title_canon_sha256":"f7031bf836703cb645142aaf51daf37b3cba32170d9ea591942286d3121c0d62"},"schema_version":"1.0","source":{"id":"0708.3203","kind":"arxiv","version":1}},"canonical_sha256":"0df36816f9724284ffcfe97739a0e5fdaff45e81909432e7dd001f47ad48a7a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0df36816f9724284ffcfe97739a0e5fdaff45e81909432e7dd001f47ad48a7a8","first_computed_at":"2026-05-18T02:16:28.449000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:28.449000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ApiCTkgGYfNAuC97/i77y0R+c4b7z78XvQ4hfn6houmfqN9Ad26qaTdRK812+NnVgAD3x9fzl6Y+pIKP2GHQAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:28.449738Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.3203","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ab1bd802968995afbbbb08a439e07fda616aee6fb7ceafe4a8419559584533e","sha256:1c8ea881fa9795d00c71cbbf84a4b4452422c2003a688c9bc58ca60fbe7afddd"],"state_sha256":"c16e1e4664e90164195682f460945ab5871be6e3a8a2cf2091329cb9055de42a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UQPKAbZ1yN/wlpVfmhvnbpxH2sjBGFfh0B98zsNDPLdw4zdpFUq5skbkXSkmbQuk+YNG6QhYW3AWyAQTpFBBDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T23:03:30.141620Z","bundle_sha256":"e7f6945a033bf6b6b725fb252bad4e99dee3af7b7fa72f1a3336202c8ea43c66"}}