{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:66U53LKAHSYBLPIJP3JANDYBM7","short_pith_number":"pith:66U53LKA","canonical_record":{"source":{"id":"1211.7149","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-30T03:39:12Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7bfafbd3aa370d0665c92e52538194a381efe97d9d5acbdc2597e27bc37c7fca","abstract_canon_sha256":"e434a04ed2cf5cc5c4b1273445b8e9ce801e8742dc1fb5a2dc0cf6f553e6ce17"},"schema_version":"1.0"},"canonical_sha256":"f7a9ddad403cb015bd097ed2068f0167edbe01d937601c1cdcb4e1120f50338d","source":{"kind":"arxiv","id":"1211.7149","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.7149","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1211.7149v1","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.7149","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"66U53LKAHSYB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"66U53LKAHSYBLPIJ","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"66U53LKA","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:66U53LKAHSYBLPIJP3JANDYBM7","target":"record","payload":{"canonical_record":{"source":{"id":"1211.7149","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-30T03:39:12Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7bfafbd3aa370d0665c92e52538194a381efe97d9d5acbdc2597e27bc37c7fca","abstract_canon_sha256":"e434a04ed2cf5cc5c4b1273445b8e9ce801e8742dc1fb5a2dc0cf6f553e6ce17"},"schema_version":"1.0"},"canonical_sha256":"f7a9ddad403cb015bd097ed2068f0167edbe01d937601c1cdcb4e1120f50338d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:53.015074Z","signature_b64":"zlaT0rWYnXnQY/kSE8sJwMEDNLt04lV5WXa7YhCUjjsBpQHfEOOa7LXCLqnod0O35+D5DIQGkIigCR8sEvCDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7a9ddad403cb015bd097ed2068f0167edbe01d937601c1cdcb4e1120f50338d","last_reissued_at":"2026-05-18T01:52:53.014694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:53.014694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.7149","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":"2026-05-18T01:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xkVzEJX3r5wDGPdN72fD1ezvWLrAp35ajOp2On6rp5g2c4HnIOqbvWCd/dwZAZunmOh/xVALqBGYogRYgN4DAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:26:09.196456Z"},"content_sha256":"6c36b6db07860d5b0452f6049f82c4ae931753b46131076189dcbaca91b2e69d","schema_version":"1.0","event_id":"sha256:6c36b6db07860d5b0452f6049f82c4ae931753b46131076189dcbaca91b2e69d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:66U53LKAHSYBLPIJP3JANDYBM7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational Anderson Localization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Ira Z. Rothstein","submitted_at":"2012-11-30T03:39:12Z","abstract_excerpt":"We present a higher dimensional model where gravity is bound to a brane due to Anderson localization. The extra dimensions are taken to be a disordered crystal of branes, with randomly distributed tensions of order the fundamental scale. Such geometries bind the graviton and thus allow for arbitrarily large extra dimensions even when the curvature is small. Thus this model is quite distinct from that of Randall and Sundrum where localization is a consequence of curvature effects in the bulk. The hierarchy problem can be solved by having the standard model brane live a distance away from the br"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.7149","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":"2026-05-18T01:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2CYLWwG4qG9QXBzniKLe1k0KuohZQuLPKPfwNqE3gkVTydpdAveTFsqBW3XKggcsmfld9S0u09fdlCFNGOO/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:26:09.197144Z"},"content_sha256":"c81827569830dcd2ca44e0bb0eaba3b37a84dc53a95b61c9022bfe93dfff74d1","schema_version":"1.0","event_id":"sha256:c81827569830dcd2ca44e0bb0eaba3b37a84dc53a95b61c9022bfe93dfff74d1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/66U53LKAHSYBLPIJP3JANDYBM7/bundle.json","state_url":"https://pith.science/pith/66U53LKAHSYBLPIJP3JANDYBM7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/66U53LKAHSYBLPIJP3JANDYBM7/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":"2026-06-08T20:26:09Z","links":{"resolver":"https://pith.science/pith/66U53LKAHSYBLPIJP3JANDYBM7","bundle":"https://pith.science/pith/66U53LKAHSYBLPIJP3JANDYBM7/bundle.json","state":"https://pith.science/pith/66U53LKAHSYBLPIJP3JANDYBM7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/66U53LKAHSYBLPIJP3JANDYBM7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:66U53LKAHSYBLPIJP3JANDYBM7","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":"e434a04ed2cf5cc5c4b1273445b8e9ce801e8742dc1fb5a2dc0cf6f553e6ce17","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-30T03:39:12Z","title_canon_sha256":"7bfafbd3aa370d0665c92e52538194a381efe97d9d5acbdc2597e27bc37c7fca"},"schema_version":"1.0","source":{"id":"1211.7149","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.7149","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1211.7149v1","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.7149","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"66U53LKAHSYB","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"66U53LKAHSYBLPIJ","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"66U53LKA","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:c81827569830dcd2ca44e0bb0eaba3b37a84dc53a95b61c9022bfe93dfff74d1","target":"graph","created_at":"2026-05-18T01:52:53Z","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 present a higher dimensional model where gravity is bound to a brane due to Anderson localization. The extra dimensions are taken to be a disordered crystal of branes, with randomly distributed tensions of order the fundamental scale. Such geometries bind the graviton and thus allow for arbitrarily large extra dimensions even when the curvature is small. Thus this model is quite distinct from that of Randall and Sundrum where localization is a consequence of curvature effects in the bulk. The hierarchy problem can be solved by having the standard model brane live a distance away from the br","authors_text":"Ira Z. Rothstein","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-30T03:39:12Z","title":"Gravitational Anderson Localization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.7149","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":"sha256:6c36b6db07860d5b0452f6049f82c4ae931753b46131076189dcbaca91b2e69d","target":"record","created_at":"2026-05-18T01:52:53Z","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":"e434a04ed2cf5cc5c4b1273445b8e9ce801e8742dc1fb5a2dc0cf6f553e6ce17","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-30T03:39:12Z","title_canon_sha256":"7bfafbd3aa370d0665c92e52538194a381efe97d9d5acbdc2597e27bc37c7fca"},"schema_version":"1.0","source":{"id":"1211.7149","kind":"arxiv","version":1}},"canonical_sha256":"f7a9ddad403cb015bd097ed2068f0167edbe01d937601c1cdcb4e1120f50338d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7a9ddad403cb015bd097ed2068f0167edbe01d937601c1cdcb4e1120f50338d","first_computed_at":"2026-05-18T01:52:53.014694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:53.014694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zlaT0rWYnXnQY/kSE8sJwMEDNLt04lV5WXa7YhCUjjsBpQHfEOOa7LXCLqnod0O35+D5DIQGkIigCR8sEvCDAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:53.015074Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.7149","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c36b6db07860d5b0452f6049f82c4ae931753b46131076189dcbaca91b2e69d","sha256:c81827569830dcd2ca44e0bb0eaba3b37a84dc53a95b61c9022bfe93dfff74d1"],"state_sha256":"a2b5a1c64d74e85b4eea1f2721f781b769d1ab83d3c351a2adc67d1edcfe5024"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EJXub1+ki7w6fx5rtvaU1ToqXuqAJIgv9YnhkaFaWN9vmogwpi1O/msWxJtMKmqtvNynpbB8ZjqFE8RZ3W4iBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:26:09.201266Z","bundle_sha256":"722b4b1c8e6be8a6309e6f1523d5d2afa4320e819c2666e3d506ab01bbed3320"}}