{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:564SDO6AU6BAV4GZKA6K2VIEWF","short_pith_number":"pith:564SDO6A","canonical_record":{"source":{"id":"1212.1875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-09T10:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"e55c49b9b762f035d1950d3be70db10a796160273f8b53b25bab09bada597c27","abstract_canon_sha256":"e80d8d284fea5e2d92f47886445ef30928c49dcac9a987a56e49e7cb61660874"},"schema_version":"1.0"},"canonical_sha256":"efb921bbc0a7820af0d9503cad5504b161ec9a9cd6aded211a19ebc2b7e025f8","source":{"kind":"arxiv","id":"1212.1875","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1875","created_at":"2026-05-18T01:52:46Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1875v1","created_at":"2026-05-18T01:52:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1875","created_at":"2026-05-18T01:52:46Z"},{"alias_kind":"pith_short_12","alias_value":"564SDO6AU6BA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"564SDO6AU6BAV4GZ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"564SDO6A","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:564SDO6AU6BAV4GZKA6K2VIEWF","target":"record","payload":{"canonical_record":{"source":{"id":"1212.1875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-09T10:37:02Z","cross_cats_sorted":[],"title_canon_sha256":"e55c49b9b762f035d1950d3be70db10a796160273f8b53b25bab09bada597c27","abstract_canon_sha256":"e80d8d284fea5e2d92f47886445ef30928c49dcac9a987a56e49e7cb61660874"},"schema_version":"1.0"},"canonical_sha256":"efb921bbc0a7820af0d9503cad5504b161ec9a9cd6aded211a19ebc2b7e025f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:46.144417Z","signature_b64":"XZq9++ATHHc4QCW9fQ9XCTuse2MJlzicvsT5MCN3KB2Q/VteaMt2/ruoYoT9lQcy4iN9atbEAMce3r2FYKz3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efb921bbc0a7820af0d9503cad5504b161ec9a9cd6aded211a19ebc2b7e025f8","last_reissued_at":"2026-05-18T01:52:46.143924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:46.143924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.1875","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":"2026-05-18T01:52:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uXT7hhgsfSWMdLSvjP7RakS9cmHTDPdUzcPGQK4qnjvZ9w2mwu0vR3oQEFyup6FwmFpRuWLJx1k/qPglkunTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T05:25:03.406147Z"},"content_sha256":"6c703041dde9ba0da56858668947ed053ee61f0bc0c88a75d52550de53a833e7","schema_version":"1.0","event_id":"sha256:6c703041dde9ba0da56858668947ed053ee61f0bc0c88a75d52550de53a833e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:564SDO6AU6BAV4GZKA6K2VIEWF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subttractors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Avik Chakraborty, Chethan Krishnan","submitted_at":"2012-12-09T10:37:02Z","abstract_excerpt":"We consider extremal limits of the recently constructed \"subtracted geometry\". We show that extremality makes the horizon attractive against scalar perturbations, but radial evolution of such perturbations changes the asymptotics: from a conical-box to flat Minkowski. Thus these are black holes that retain their near-horizon geometry under perturbations that drastically change their asymptotics. We also show that this extremal subtracted solution (\"subttractor\") can arise as a boundary of the basin of attraction for flat space attractors. We demonstrate this by using a fairly minimal action (t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1875","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":"2026-05-18T01:52:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gkgz16DtFDcso4/oaMhH9jjIU8mCS9T4HcK+7+Gmpt5gASeLycY4m6H1ARfyaZp7izO+oTCd3AIdW7++h7dsCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T05:25:03.406500Z"},"content_sha256":"a51370871fdedf5ee34c58a0a1d3c49d082e2b97fca8a6151e9a0a1b258b7189","schema_version":"1.0","event_id":"sha256:a51370871fdedf5ee34c58a0a1d3c49d082e2b97fca8a6151e9a0a1b258b7189"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/564SDO6AU6BAV4GZKA6K2VIEWF/bundle.json","state_url":"https://pith.science/pith/564SDO6AU6BAV4GZKA6K2VIEWF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/564SDO6AU6BAV4GZKA6K2VIEWF/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":"2026-07-04T05:25:03Z","links":{"resolver":"https://pith.science/pith/564SDO6AU6BAV4GZKA6K2VIEWF","bundle":"https://pith.science/pith/564SDO6AU6BAV4GZKA6K2VIEWF/bundle.json","state":"https://pith.science/pith/564SDO6AU6BAV4GZKA6K2VIEWF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/564SDO6AU6BAV4GZKA6K2VIEWF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:564SDO6AU6BAV4GZKA6K2VIEWF","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":"e80d8d284fea5e2d92f47886445ef30928c49dcac9a987a56e49e7cb61660874","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-09T10:37:02Z","title_canon_sha256":"e55c49b9b762f035d1950d3be70db10a796160273f8b53b25bab09bada597c27"},"schema_version":"1.0","source":{"id":"1212.1875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1875","created_at":"2026-05-18T01:52:46Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1875v1","created_at":"2026-05-18T01:52:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1875","created_at":"2026-05-18T01:52:46Z"},{"alias_kind":"pith_short_12","alias_value":"564SDO6AU6BA","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"564SDO6AU6BAV4GZ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"564SDO6A","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:a51370871fdedf5ee34c58a0a1d3c49d082e2b97fca8a6151e9a0a1b258b7189","target":"graph","created_at":"2026-05-18T01:52:46Z","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 extremal limits of the recently constructed \"subtracted geometry\". We show that extremality makes the horizon attractive against scalar perturbations, but radial evolution of such perturbations changes the asymptotics: from a conical-box to flat Minkowski. Thus these are black holes that retain their near-horizon geometry under perturbations that drastically change their asymptotics. We also show that this extremal subtracted solution (\"subttractor\") can arise as a boundary of the basin of attraction for flat space attractors. We demonstrate this by using a fairly minimal action (t","authors_text":"Avik Chakraborty, Chethan Krishnan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-09T10:37:02Z","title":"Subttractors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1875","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":"sha256:6c703041dde9ba0da56858668947ed053ee61f0bc0c88a75d52550de53a833e7","target":"record","created_at":"2026-05-18T01:52:46Z","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":"e80d8d284fea5e2d92f47886445ef30928c49dcac9a987a56e49e7cb61660874","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-09T10:37:02Z","title_canon_sha256":"e55c49b9b762f035d1950d3be70db10a796160273f8b53b25bab09bada597c27"},"schema_version":"1.0","source":{"id":"1212.1875","kind":"arxiv","version":1}},"canonical_sha256":"efb921bbc0a7820af0d9503cad5504b161ec9a9cd6aded211a19ebc2b7e025f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efb921bbc0a7820af0d9503cad5504b161ec9a9cd6aded211a19ebc2b7e025f8","first_computed_at":"2026-05-18T01:52:46.143924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:46.143924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XZq9++ATHHc4QCW9fQ9XCTuse2MJlzicvsT5MCN3KB2Q/VteaMt2/ruoYoT9lQcy4iN9atbEAMce3r2FYKz3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:46.144417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c703041dde9ba0da56858668947ed053ee61f0bc0c88a75d52550de53a833e7","sha256:a51370871fdedf5ee34c58a0a1d3c49d082e2b97fca8a6151e9a0a1b258b7189"],"state_sha256":"7b3713b1f0972ebcd8d019c6e820935de6aab4ab3c443607a0e1656e6e91b871"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LYgAZ3uTyBakweAhiH1KC3nNysce7jYxto0q1BshakyEfmXs8E/aD9aBm+6MeSV4zymaXLNjmLnl24g/fAVZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T05:25:03.408442Z","bundle_sha256":"c7d75789530514d4f2fe2641488102a06cca6d89782ec58719c34bafbf03ad75"}}