{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:M7SWRJWWJ5N34L2IOXYYUSX4G6","short_pith_number":"pith:M7SWRJWW","canonical_record":{"source":{"id":"quant-ph/0508213","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-08-29T08:57:06Z","cross_cats_sorted":[],"title_canon_sha256":"8f2536d1cce8f0d3fecf97875e3577d41d1e24748864ed81e17753c13a5d245d","abstract_canon_sha256":"79326f931c1ed082c2c02e2b61f8f47d3642e67bd84d18fda477e65a4713f9d9"},"schema_version":"1.0"},"canonical_sha256":"67e568a6d64f5bbe2f4875f18a4afc37bf1b6f927ce073da5b64a8cf72cfb233","source":{"kind":"arxiv","id":"quant-ph/0508213","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0508213","created_at":"2026-05-18T04:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0508213v2","created_at":"2026-05-18T04:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0508213","created_at":"2026-05-18T04:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"M7SWRJWWJ5N3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"M7SWRJWWJ5N34L2I","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"M7SWRJWW","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:M7SWRJWWJ5N34L2IOXYYUSX4G6","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0508213","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-08-29T08:57:06Z","cross_cats_sorted":[],"title_canon_sha256":"8f2536d1cce8f0d3fecf97875e3577d41d1e24748864ed81e17753c13a5d245d","abstract_canon_sha256":"79326f931c1ed082c2c02e2b61f8f47d3642e67bd84d18fda477e65a4713f9d9"},"schema_version":"1.0"},"canonical_sha256":"67e568a6d64f5bbe2f4875f18a4afc37bf1b6f927ce073da5b64a8cf72cfb233","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:19.163066Z","signature_b64":"vVvCGWyF2E3Vca4VVd3nK7eQ1tcYHNe8O0lhnxM90GOzdNO3KWjBR5Rd9Dr7mMaaPmXyhSleAr71OZ+fh/MmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67e568a6d64f5bbe2f4875f18a4afc37bf1b6f927ce073da5b64a8cf72cfb233","last_reissued_at":"2026-05-18T04:15:19.162508Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:19.162508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0508213","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":"2026-05-18T04:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pOnja+wlX+B9KoJDeK4h5NuI5X/Hp1aXdkKU3Scw15qUTveivIOtodIooIXHqU1lCVum1mXZjQxKXQ9BPbF8Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:25:54.255219Z"},"content_sha256":"ed842332e0f8d0230e564b3b00ba4e0104fc4bcef50ba75d43d13b04020e632b","schema_version":"1.0","event_id":"sha256:ed842332e0f8d0230e564b3b00ba4e0104fc4bcef50ba75d43d13b04020e632b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:M7SWRJWWJ5N34L2IOXYYUSX4G6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localization for free ultrametric quantum particle","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A.Yu. Khrennikov, S.V. Kozyrev","submitted_at":"2005-08-29T08:57:06Z","abstract_excerpt":"Free evolution for quantum particle in general ultrametric space is considered. We find that if mean zero wave packet is localized in some ball in the ultrametric space then its evolution remains localized in the same ball."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0508213","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":"2026-05-18T04:15:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qj+WFWvSDiwcepsb4P4iAyyD2W0BXKdaA4TP+wYM9rzund7TMV3ELsHNuu8b3lVM+BMzQq+kNZhbakcExjt6CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T02:25:54.255636Z"},"content_sha256":"0289dc7b93b87ab6dea8a89b4bf49d702bd5c23dbbb001d2e3a7e337ccbe2ce7","schema_version":"1.0","event_id":"sha256:0289dc7b93b87ab6dea8a89b4bf49d702bd5c23dbbb001d2e3a7e337ccbe2ce7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M7SWRJWWJ5N34L2IOXYYUSX4G6/bundle.json","state_url":"https://pith.science/pith/M7SWRJWWJ5N34L2IOXYYUSX4G6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M7SWRJWWJ5N34L2IOXYYUSX4G6/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":"2026-06-05T02:25:54Z","links":{"resolver":"https://pith.science/pith/M7SWRJWWJ5N34L2IOXYYUSX4G6","bundle":"https://pith.science/pith/M7SWRJWWJ5N34L2IOXYYUSX4G6/bundle.json","state":"https://pith.science/pith/M7SWRJWWJ5N34L2IOXYYUSX4G6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M7SWRJWWJ5N34L2IOXYYUSX4G6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:M7SWRJWWJ5N34L2IOXYYUSX4G6","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":"79326f931c1ed082c2c02e2b61f8f47d3642e67bd84d18fda477e65a4713f9d9","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-08-29T08:57:06Z","title_canon_sha256":"8f2536d1cce8f0d3fecf97875e3577d41d1e24748864ed81e17753c13a5d245d"},"schema_version":"1.0","source":{"id":"quant-ph/0508213","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0508213","created_at":"2026-05-18T04:15:19Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0508213v2","created_at":"2026-05-18T04:15:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0508213","created_at":"2026-05-18T04:15:19Z"},{"alias_kind":"pith_short_12","alias_value":"M7SWRJWWJ5N3","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"M7SWRJWWJ5N34L2I","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"M7SWRJWW","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:0289dc7b93b87ab6dea8a89b4bf49d702bd5c23dbbb001d2e3a7e337ccbe2ce7","target":"graph","created_at":"2026-05-18T04:15:19Z","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":"Free evolution for quantum particle in general ultrametric space is considered. We find that if mean zero wave packet is localized in some ball in the ultrametric space then its evolution remains localized in the same ball.","authors_text":"A.Yu. Khrennikov, S.V. Kozyrev","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2005-08-29T08:57:06Z","title":"Localization for free ultrametric quantum particle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0508213","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:ed842332e0f8d0230e564b3b00ba4e0104fc4bcef50ba75d43d13b04020e632b","target":"record","created_at":"2026-05-18T04:15:19Z","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":"79326f931c1ed082c2c02e2b61f8f47d3642e67bd84d18fda477e65a4713f9d9","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2005-08-29T08:57:06Z","title_canon_sha256":"8f2536d1cce8f0d3fecf97875e3577d41d1e24748864ed81e17753c13a5d245d"},"schema_version":"1.0","source":{"id":"quant-ph/0508213","kind":"arxiv","version":2}},"canonical_sha256":"67e568a6d64f5bbe2f4875f18a4afc37bf1b6f927ce073da5b64a8cf72cfb233","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67e568a6d64f5bbe2f4875f18a4afc37bf1b6f927ce073da5b64a8cf72cfb233","first_computed_at":"2026-05-18T04:15:19.162508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:19.162508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vVvCGWyF2E3Vca4VVd3nK7eQ1tcYHNe8O0lhnxM90GOzdNO3KWjBR5Rd9Dr7mMaaPmXyhSleAr71OZ+fh/MmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:19.163066Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0508213","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed842332e0f8d0230e564b3b00ba4e0104fc4bcef50ba75d43d13b04020e632b","sha256:0289dc7b93b87ab6dea8a89b4bf49d702bd5c23dbbb001d2e3a7e337ccbe2ce7"],"state_sha256":"cbf5ffbce9856ba1d61681a9a4312ddab8d585d6f9f1ede24a2eebcdbac4873f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AXcBeZDrZZiWjEWxW/XQ8jiceGiB0uf7Gbt7f1a3kUqeS5BZDEpwNv0Irf4ZX4Fr10wxp79kjRJUP2J6olN9Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T02:25:54.257770Z","bundle_sha256":"f21002fb99c9fc8a4d778d3f616356fc57d8cdce07bb9a26d6e501e8bc271833"}}