{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4Z73L47EAA4XXRSPPVQJF3KMBU","short_pith_number":"pith:4Z73L47E","canonical_record":{"source":{"id":"1110.3764","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T19:04:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ae9163065898ed44f7a2185cdf67375c3ab1bc565697751bfccc7987cb98c3c5","abstract_canon_sha256":"5129bbb3ad9c3cd8a198bb8af1f2362e59ad051731d27da5194e6235983943ba"},"schema_version":"1.0"},"canonical_sha256":"e67fb5f3e400397bc64f7d6092ed4c0d020bdd1ab3ad7ec3d77f6e5a076563dd","source":{"kind":"arxiv","id":"1110.3764","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3764","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3764v1","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3764","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"pith_short_12","alias_value":"4Z73L47EAA4X","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4Z73L47EAA4XXRSP","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4Z73L47E","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4Z73L47EAA4XXRSPPVQJF3KMBU","target":"record","payload":{"canonical_record":{"source":{"id":"1110.3764","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T19:04:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ae9163065898ed44f7a2185cdf67375c3ab1bc565697751bfccc7987cb98c3c5","abstract_canon_sha256":"5129bbb3ad9c3cd8a198bb8af1f2362e59ad051731d27da5194e6235983943ba"},"schema_version":"1.0"},"canonical_sha256":"e67fb5f3e400397bc64f7d6092ed4c0d020bdd1ab3ad7ec3d77f6e5a076563dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:29.581171Z","signature_b64":"DMxC4sIHPkdohjLl8yy7X3pn/kgDlDAk+qACForspIy3kmQ+43UQoXjqP1xjZdAkpD85ZSc77htvsyO5LS6FDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e67fb5f3e400397bc64f7d6092ed4c0d020bdd1ab3ad7ec3d77f6e5a076563dd","last_reissued_at":"2026-05-18T03:41:29.580459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:29.580459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.3764","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":"2026-05-18T03:41:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"trZTTpJnLnLRXGUMMtR/Hp6tm4ff4lyOEvAtM2CV1vcMvn2pFuEi1RqT+Jyx67FwfMboz/5J3VDzoTRX2cDNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:59:05.784686Z"},"content_sha256":"e61447daf1d8d89c447917d19c0647536c70526f698c2b9a9794d7bde2ccba9a","schema_version":"1.0","event_id":"sha256:e61447daf1d8d89c447917d19c0647536c70526f698c2b9a9794d7bde2ccba9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4Z73L47EAA4XXRSPPVQJF3KMBU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black hole stereotyping: Induced gravito-static polarization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Barak Kol, Michael Smolkin","submitted_at":"2011-10-17T19:04:24Z","abstract_excerpt":"We discuss the black hole effective action and define its static subsector. We determine the induced gravito-static polarization constants (electric Love numbers) of static black holes (Schwarzschild) in an arbitrary dimension, namely the induced mass multipole as a result of an external gravitational field. We demonstrate that in 4d these constants vanish thereby settling a disagreement in the literature. Yet in higher dimensions these constants are non-vanishing, thereby disproving (at least in d>4) speculations that black holes have no effective couplings beyond the point particle action. I"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3764","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":"2026-05-18T03:41:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kSOIJVEzYHbXFlLhfmrkUrA1OOQyodgaCqrO8e10Pkms0TyDB+n5dDtRAiHbVTPkyFONaqKqrM7iY5hOcteWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:59:05.785450Z"},"content_sha256":"fe6472c3f4b1e7c409b593ea2a623380cae972004d1dfb3b7fcc955bc7158967","schema_version":"1.0","event_id":"sha256:fe6472c3f4b1e7c409b593ea2a623380cae972004d1dfb3b7fcc955bc7158967"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Z73L47EAA4XXRSPPVQJF3KMBU/bundle.json","state_url":"https://pith.science/pith/4Z73L47EAA4XXRSPPVQJF3KMBU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Z73L47EAA4XXRSPPVQJF3KMBU/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":"2026-06-10T05:59:05Z","links":{"resolver":"https://pith.science/pith/4Z73L47EAA4XXRSPPVQJF3KMBU","bundle":"https://pith.science/pith/4Z73L47EAA4XXRSPPVQJF3KMBU/bundle.json","state":"https://pith.science/pith/4Z73L47EAA4XXRSPPVQJF3KMBU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Z73L47EAA4XXRSPPVQJF3KMBU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4Z73L47EAA4XXRSPPVQJF3KMBU","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":"5129bbb3ad9c3cd8a198bb8af1f2362e59ad051731d27da5194e6235983943ba","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T19:04:24Z","title_canon_sha256":"ae9163065898ed44f7a2185cdf67375c3ab1bc565697751bfccc7987cb98c3c5"},"schema_version":"1.0","source":{"id":"1110.3764","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3764","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3764v1","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3764","created_at":"2026-05-18T03:41:29Z"},{"alias_kind":"pith_short_12","alias_value":"4Z73L47EAA4X","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4Z73L47EAA4XXRSP","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4Z73L47E","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:fe6472c3f4b1e7c409b593ea2a623380cae972004d1dfb3b7fcc955bc7158967","target":"graph","created_at":"2026-05-18T03:41:29Z","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 discuss the black hole effective action and define its static subsector. We determine the induced gravito-static polarization constants (electric Love numbers) of static black holes (Schwarzschild) in an arbitrary dimension, namely the induced mass multipole as a result of an external gravitational field. We demonstrate that in 4d these constants vanish thereby settling a disagreement in the literature. Yet in higher dimensions these constants are non-vanishing, thereby disproving (at least in d>4) speculations that black holes have no effective couplings beyond the point particle action. I","authors_text":"Barak Kol, Michael Smolkin","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T19:04:24Z","title":"Black hole stereotyping: Induced gravito-static polarization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3764","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:e61447daf1d8d89c447917d19c0647536c70526f698c2b9a9794d7bde2ccba9a","target":"record","created_at":"2026-05-18T03:41:29Z","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":"5129bbb3ad9c3cd8a198bb8af1f2362e59ad051731d27da5194e6235983943ba","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-17T19:04:24Z","title_canon_sha256":"ae9163065898ed44f7a2185cdf67375c3ab1bc565697751bfccc7987cb98c3c5"},"schema_version":"1.0","source":{"id":"1110.3764","kind":"arxiv","version":1}},"canonical_sha256":"e67fb5f3e400397bc64f7d6092ed4c0d020bdd1ab3ad7ec3d77f6e5a076563dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e67fb5f3e400397bc64f7d6092ed4c0d020bdd1ab3ad7ec3d77f6e5a076563dd","first_computed_at":"2026-05-18T03:41:29.580459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:29.580459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DMxC4sIHPkdohjLl8yy7X3pn/kgDlDAk+qACForspIy3kmQ+43UQoXjqP1xjZdAkpD85ZSc77htvsyO5LS6FDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:29.581171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3764","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e61447daf1d8d89c447917d19c0647536c70526f698c2b9a9794d7bde2ccba9a","sha256:fe6472c3f4b1e7c409b593ea2a623380cae972004d1dfb3b7fcc955bc7158967"],"state_sha256":"84621f314409ffc5e7a1e1d700b05a7791c529d6eef9124297b108b48b01d3c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DtaejM81T7xheaQ47FxF6E5SGkmm5rf6eKEClZ4DxySnxHV/h1Ht8JHcra52H61RGW5KnLy/rGoeU/gHFz3oAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:59:05.789739Z","bundle_sha256":"e9bcb1ccfe16106ae72e0ff7c15898d6cc9ec653fd3f2262da12afb493ba0f99"}}