{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:33O352UBJW6OLY5VBA7R32SLGX","short_pith_number":"pith:33O352UB","canonical_record":{"source":{"id":"0810.5105","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-10-28T18:25:36Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"4a26e660342ed05085b2aa5cf9c2bf54ed3381934eef8d7edb92e2ed573c6964","abstract_canon_sha256":"1b8960061f9bb350f53e08d57cbf564fbe58a4320c87739a899ca563cb9fdf6f"},"schema_version":"1.0"},"canonical_sha256":"deddbeea814dbce5e3b5083f1dea4b35dfadc64b04dafac920d6d37b059ba2b3","source":{"kind":"arxiv","id":"0810.5105","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.5105","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"0810.5105v2","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.5105","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"33O352UBJW6O","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"33O352UBJW6OLY5V","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"33O352UB","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:33O352UBJW6OLY5VBA7R32SLGX","target":"record","payload":{"canonical_record":{"source":{"id":"0810.5105","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-10-28T18:25:36Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"4a26e660342ed05085b2aa5cf9c2bf54ed3381934eef8d7edb92e2ed573c6964","abstract_canon_sha256":"1b8960061f9bb350f53e08d57cbf564fbe58a4320c87739a899ca563cb9fdf6f"},"schema_version":"1.0"},"canonical_sha256":"deddbeea814dbce5e3b5083f1dea4b35dfadc64b04dafac920d6d37b059ba2b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:09.340902Z","signature_b64":"cH8G/TWrGcZlf/DA7D2wjjK9TgQW6D8vxZXKzDSESMTJLF+wBRryh3luUwxJzpfunyzkguI4niNGiL3mO9EmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"deddbeea814dbce5e3b5083f1dea4b35dfadc64b04dafac920d6d37b059ba2b3","last_reissued_at":"2026-05-18T03:24:09.340061Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:09.340061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.5105","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f89YEnXSka8cpOu81iIGocyckmscAxcaVtqjQ5wzcqL0Dwqri9PkP/keQCdO1rcJHo09ZE85JcIFC7zWKjpDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:28:33.517334Z"},"content_sha256":"ec3d226655756440eda324456396e7d2760a04623d372377deb28ebf2de45889","schema_version":"1.0","event_id":"sha256:ec3d226655756440eda324456396e7d2760a04623d372377deb28ebf2de45889"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:33O352UBJW6OLY5VBA7R32SLGX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.mes-hall","authors_text":"A. M. Somoza, J. T. Chalker, M. Ortu\\~no","submitted_at":"2008-10-28T18:25:36Z","abstract_excerpt":"We study the disorder-induced localisation transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal invariance. It is a special feature of network models with this symmetry that the conductance and density of states can be expressed as averages in a classical system of dense, interacting random walks. Using this mapping, we present a more precise numerical study of critical behaviour at an Anderson transition than has been possible previously in any context."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.5105","kind":"arxiv","version":2},"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":"2026-05-18T03:24:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9p2n3rUI+T30DqCCccwEQZBVWvIpm9JipKhZ89tYV5b8BRZnyv2BhUg7akeCjyY2xwJEiK0WvYlKUN1S0lysBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:28:33.517689Z"},"content_sha256":"37a40a30ee60d7c2de12c005b23c50274ecb1cbbd61f020218a250e985166f28","schema_version":"1.0","event_id":"sha256:37a40a30ee60d7c2de12c005b23c50274ecb1cbbd61f020218a250e985166f28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/33O352UBJW6OLY5VBA7R32SLGX/bundle.json","state_url":"https://pith.science/pith/33O352UBJW6OLY5VBA7R32SLGX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/33O352UBJW6OLY5VBA7R32SLGX/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":"2026-06-02T02:28:33Z","links":{"resolver":"https://pith.science/pith/33O352UBJW6OLY5VBA7R32SLGX","bundle":"https://pith.science/pith/33O352UBJW6OLY5VBA7R32SLGX/bundle.json","state":"https://pith.science/pith/33O352UBJW6OLY5VBA7R32SLGX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/33O352UBJW6OLY5VBA7R32SLGX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:33O352UBJW6OLY5VBA7R32SLGX","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":"1b8960061f9bb350f53e08d57cbf564fbe58a4320c87739a899ca563cb9fdf6f","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-10-28T18:25:36Z","title_canon_sha256":"4a26e660342ed05085b2aa5cf9c2bf54ed3381934eef8d7edb92e2ed573c6964"},"schema_version":"1.0","source":{"id":"0810.5105","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.5105","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"0810.5105v2","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.5105","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"33O352UBJW6O","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"33O352UBJW6OLY5V","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"33O352UB","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:37a40a30ee60d7c2de12c005b23c50274ecb1cbbd61f020218a250e985166f28","target":"graph","created_at":"2026-05-18T03:24:09Z","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 the disorder-induced localisation transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal invariance. It is a special feature of network models with this symmetry that the conductance and density of states can be expressed as averages in a classical system of dense, interacting random walks. Using this mapping, we present a more precise numerical study of critical behaviour at an Anderson transition than has been possible previously in any context.","authors_text":"A. M. Somoza, J. T. Chalker, M. Ortu\\~no","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-10-28T18:25:36Z","title":"Random Walks and Anderson Localisation in a Three-Dimensional Class C Network Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.5105","kind":"arxiv","version":2},"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:ec3d226655756440eda324456396e7d2760a04623d372377deb28ebf2de45889","target":"record","created_at":"2026-05-18T03:24:09Z","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":"1b8960061f9bb350f53e08d57cbf564fbe58a4320c87739a899ca563cb9fdf6f","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2008-10-28T18:25:36Z","title_canon_sha256":"4a26e660342ed05085b2aa5cf9c2bf54ed3381934eef8d7edb92e2ed573c6964"},"schema_version":"1.0","source":{"id":"0810.5105","kind":"arxiv","version":2}},"canonical_sha256":"deddbeea814dbce5e3b5083f1dea4b35dfadc64b04dafac920d6d37b059ba2b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deddbeea814dbce5e3b5083f1dea4b35dfadc64b04dafac920d6d37b059ba2b3","first_computed_at":"2026-05-18T03:24:09.340061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:09.340061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cH8G/TWrGcZlf/DA7D2wjjK9TgQW6D8vxZXKzDSESMTJLF+wBRryh3luUwxJzpfunyzkguI4niNGiL3mO9EmDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:09.340902Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.5105","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec3d226655756440eda324456396e7d2760a04623d372377deb28ebf2de45889","sha256:37a40a30ee60d7c2de12c005b23c50274ecb1cbbd61f020218a250e985166f28"],"state_sha256":"e2c3f77a90f6263188028b6010567697801b8e089be6e54e42c6adb52db3a5e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X+xakLZ6HjNmS1ChvPHdn5fNATCNQoqmbG3pW9NX6e4dEAFC1uZxcD9iYJDN5+kQ7BAeZIfy9n4zOdXCmOn7BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:28:33.519661Z","bundle_sha256":"b8ad4334639e71c2aecccbc89526742c5039dc07e612114079dcacf287d70da7"}}