{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GRGNKLXWND5KA3UK4E2XXCHVRQ","short_pith_number":"pith:GRGNKLXW","canonical_record":{"source":{"id":"1203.4241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-19T20:03:03Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","quant-ph"],"title_canon_sha256":"ad5a3468d7da8e3be495ad093e19ebd8ba50e2b136be8b1e3dbdf6eab832dc19","abstract_canon_sha256":"f5fd01492e4fad821dd087a8418910c9b281fc91d0e56e8c3247d7dd1647e4f2"},"schema_version":"1.0"},"canonical_sha256":"344cd52ef668faa06e8ae1357b88f58c3de1c005d9548cf61bc06a5f5925595e","source":{"kind":"arxiv","id":"1203.4241","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4241","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4241v1","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4241","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"GRGNKLXWND5K","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GRGNKLXWND5KA3UK","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GRGNKLXW","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GRGNKLXWND5KA3UK4E2XXCHVRQ","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-19T20:03:03Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","quant-ph"],"title_canon_sha256":"ad5a3468d7da8e3be495ad093e19ebd8ba50e2b136be8b1e3dbdf6eab832dc19","abstract_canon_sha256":"f5fd01492e4fad821dd087a8418910c9b281fc91d0e56e8c3247d7dd1647e4f2"},"schema_version":"1.0"},"canonical_sha256":"344cd52ef668faa06e8ae1357b88f58c3de1c005d9548cf61bc06a5f5925595e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:05.944026Z","signature_b64":"xTdkZyU0MsUPb09J+5Afpk0gp+Fn88sEP3Hr5XWrhwrhojR9XokZCfl6/e2lzdCbxTuSZFCKXqyNglN15kEzAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"344cd52ef668faa06e8ae1357b88f58c3de1c005d9548cf61bc06a5f5925595e","last_reissued_at":"2026-05-18T01:58:05.943346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:05.943346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4241","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":"2026-05-18T01:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIBjXTXWnxcXhxgynxReMhzsBy5ew6OVgfxlq1u9kMCVTCqvyJdoqMTU0dm2JtS71rZa78DFhn2bAaHyIj+aAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:48:12.525214Z"},"content_sha256":"7955aa32c14fa5a32858f52013c3078517ab22bbdaa550a9b3aff439f56d924d","schema_version":"1.0","event_id":"sha256:7955aa32c14fa5a32858f52013c3078517ab22bbdaa550a9b3aff439f56d924d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GRGNKLXWND5KA3UK4E2XXCHVRQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anderson Localization in Disordered Vibrating Rods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.mes-hall","quant-ph"],"primary_cat":"nlin.CD","authors_text":"A. Morales, G. Monsivais, J. Flores, L. Guti\\'errez, P. Mora, R. A. M\\'endez-S\\'anchez","submitted_at":"2012-03-19T20:03:03Z","abstract_excerpt":"We study, both experimentally and numerically, the Anderson localization phenomenon in torsional waves of a disordered elastic rod, which consists of a cylinder with randomly spaced notches. We find that the normal-mode wave amplitudes are exponentially localized as occurs in disordered solids. The localization length is measured using these wave amplitudes and it is shown to decrease as a function of frequency. The normal-mode spectrum is also measured as well as computed, so its level statistics can be analyzed. Fitting the nearest-neighbor spacing distribution a level repulsion parameter is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4241","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":"2026-05-18T01:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rnrobJpUN+YtFbon7Q7QJqoe4a5AhO0chWrk+fJficsolmFuIjRUWRxTXnP2FiHx8kg1ixFWToDvv6swylqRAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:48:12.525937Z"},"content_sha256":"f8a1437cbfaf32440f58e1df5ff0ba113230e4d6aadb45bc4352c6745da2ed01","schema_version":"1.0","event_id":"sha256:f8a1437cbfaf32440f58e1df5ff0ba113230e4d6aadb45bc4352c6745da2ed01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GRGNKLXWND5KA3UK4E2XXCHVRQ/bundle.json","state_url":"https://pith.science/pith/GRGNKLXWND5KA3UK4E2XXCHVRQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GRGNKLXWND5KA3UK4E2XXCHVRQ/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":"2026-05-31T07:48:12Z","links":{"resolver":"https://pith.science/pith/GRGNKLXWND5KA3UK4E2XXCHVRQ","bundle":"https://pith.science/pith/GRGNKLXWND5KA3UK4E2XXCHVRQ/bundle.json","state":"https://pith.science/pith/GRGNKLXWND5KA3UK4E2XXCHVRQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GRGNKLXWND5KA3UK4E2XXCHVRQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GRGNKLXWND5KA3UK4E2XXCHVRQ","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":"f5fd01492e4fad821dd087a8418910c9b281fc91d0e56e8c3247d7dd1647e4f2","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-19T20:03:03Z","title_canon_sha256":"ad5a3468d7da8e3be495ad093e19ebd8ba50e2b136be8b1e3dbdf6eab832dc19"},"schema_version":"1.0","source":{"id":"1203.4241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4241","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4241v1","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4241","created_at":"2026-05-18T01:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"GRGNKLXWND5K","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GRGNKLXWND5KA3UK","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GRGNKLXW","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:f8a1437cbfaf32440f58e1df5ff0ba113230e4d6aadb45bc4352c6745da2ed01","target":"graph","created_at":"2026-05-18T01:58:05Z","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 study, both experimentally and numerically, the Anderson localization phenomenon in torsional waves of a disordered elastic rod, which consists of a cylinder with randomly spaced notches. We find that the normal-mode wave amplitudes are exponentially localized as occurs in disordered solids. The localization length is measured using these wave amplitudes and it is shown to decrease as a function of frequency. The normal-mode spectrum is also measured as well as computed, so its level statistics can be analyzed. Fitting the nearest-neighbor spacing distribution a level repulsion parameter is","authors_text":"A. Morales, G. Monsivais, J. Flores, L. Guti\\'errez, P. Mora, R. A. M\\'endez-S\\'anchez","cross_cats":["cond-mat.dis-nn","cond-mat.mes-hall","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-19T20:03:03Z","title":"Anderson Localization in Disordered Vibrating Rods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4241","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":"sha256:7955aa32c14fa5a32858f52013c3078517ab22bbdaa550a9b3aff439f56d924d","target":"record","created_at":"2026-05-18T01:58:05Z","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":"f5fd01492e4fad821dd087a8418910c9b281fc91d0e56e8c3247d7dd1647e4f2","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.mes-hall","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-03-19T20:03:03Z","title_canon_sha256":"ad5a3468d7da8e3be495ad093e19ebd8ba50e2b136be8b1e3dbdf6eab832dc19"},"schema_version":"1.0","source":{"id":"1203.4241","kind":"arxiv","version":1}},"canonical_sha256":"344cd52ef668faa06e8ae1357b88f58c3de1c005d9548cf61bc06a5f5925595e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"344cd52ef668faa06e8ae1357b88f58c3de1c005d9548cf61bc06a5f5925595e","first_computed_at":"2026-05-18T01:58:05.943346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:05.943346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xTdkZyU0MsUPb09J+5Afpk0gp+Fn88sEP3Hr5XWrhwrhojR9XokZCfl6/e2lzdCbxTuSZFCKXqyNglN15kEzAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:05.944026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7955aa32c14fa5a32858f52013c3078517ab22bbdaa550a9b3aff439f56d924d","sha256:f8a1437cbfaf32440f58e1df5ff0ba113230e4d6aadb45bc4352c6745da2ed01"],"state_sha256":"95560b0e3d120612318f201538309d506eb878cf79171b705f4286f08abdc20a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KewQt4rRIZFQ3hLQiHlLuykq6SR63eMguk6XkAmILNL/F7iWdbk68LKmSzYyuewPKpqQT82RdhTxkTovKUFmCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:48:12.529582Z","bundle_sha256":"bb9d1e4d035b190d370f29fa79fb00d2ae871e76bea447e6584a89915c010787"}}