{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:JASDOOYK5RZUXYY22YNN6HKE6W","short_pith_number":"pith:JASDOOYK","canonical_record":{"source":{"id":"0912.3180","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-16T16:21:37Z","cross_cats_sorted":["cond-mat.dis-nn","nlin.CD"],"title_canon_sha256":"17c2a4366f1de64fe32c9a68c9feca43fd78baecbbca11c4b289c9316be9d4de","abstract_canon_sha256":"a148534d7f9f8aeda638261d5546c40d5863ef3fa639e98ce6df94ee418ba54a"},"schema_version":"1.0"},"canonical_sha256":"4824373b0aec734be31ad61adf1d44f5aef417cd7a0ed8a9834f45c918eb056e","source":{"kind":"arxiv","id":"0912.3180","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3180","created_at":"2026-05-18T02:10:16Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3180v1","created_at":"2026-05-18T02:10:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3180","created_at":"2026-05-18T02:10:16Z"},{"alias_kind":"pith_short_12","alias_value":"JASDOOYK5RZU","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JASDOOYK5RZUXYY2","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JASDOOYK","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:JASDOOYK5RZUXYY22YNN6HKE6W","target":"record","payload":{"canonical_record":{"source":{"id":"0912.3180","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-16T16:21:37Z","cross_cats_sorted":["cond-mat.dis-nn","nlin.CD"],"title_canon_sha256":"17c2a4366f1de64fe32c9a68c9feca43fd78baecbbca11c4b289c9316be9d4de","abstract_canon_sha256":"a148534d7f9f8aeda638261d5546c40d5863ef3fa639e98ce6df94ee418ba54a"},"schema_version":"1.0"},"canonical_sha256":"4824373b0aec734be31ad61adf1d44f5aef417cd7a0ed8a9834f45c918eb056e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:16.512763Z","signature_b64":"fq68u5sgid4bv2M3LXwv97KvG7W3yY8rkgnMd8N2fTxYgQmYBGKGUc6N3O7AlSbI0l9E198mfZqrDuvCOVtTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4824373b0aec734be31ad61adf1d44f5aef417cd7a0ed8a9834f45c918eb056e","last_reissued_at":"2026-05-18T02:10:16.512159Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:16.512159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.3180","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":"2026-05-18T02:10:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qFOOTx1xH8JLDkl4v1MUEC4muc5saQ1FcCmlkOKJBVBVYk2Xw87okn9vMlV0xUu/LvpSs3I1lo4gDdEtXPY3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:27:25.650282Z"},"content_sha256":"905bce7be7e7466eb73394996ac1b7a125b2a26980a836727d9fc5371be9aa05","schema_version":"1.0","event_id":"sha256:905bce7be7e7466eb73394996ac1b7a125b2a26980a836727d9fc5371be9aa05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:JASDOOYK5RZUXYY22YNN6HKE6W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Fidelity and Full Fidelity Statistics in Regular and Chaotic Surroundings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Hans-Juergen Sommers, Heiner Kohler, Sven Aberg, Thomas Guhr","submitted_at":"2009-12-16T16:21:37Z","abstract_excerpt":"For a prepared state exact expressions for the time dependent mean fidelity as well as for the mean inverse paricipation ratio are obtained analytically. The distribution function of fidelity in the long time limit and of inverse participation ratio are studied numerically and analytically. Surprising features like fidelity revival and enhanced non--ergodicity are observed. The role of the coupling coefficients and of complexity of background is studied as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3180","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":"2026-05-18T02:10:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Vs703Axjfu1hiThRItndN7f/ApeqxksJ77niZlJOc2OQYdUXPL30FZuw6F6Gy5vhOF8+L1Cl370D3wIdzwXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T12:27:25.651266Z"},"content_sha256":"a279cadeb4a576d76ebdba541db2c1d76e475f71af6395df8c49594cbad2da98","schema_version":"1.0","event_id":"sha256:a279cadeb4a576d76ebdba541db2c1d76e475f71af6395df8c49594cbad2da98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JASDOOYK5RZUXYY22YNN6HKE6W/bundle.json","state_url":"https://pith.science/pith/JASDOOYK5RZUXYY22YNN6HKE6W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JASDOOYK5RZUXYY22YNN6HKE6W/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":"2026-08-18T12:27:25Z","links":{"resolver":"https://pith.science/pith/JASDOOYK5RZUXYY22YNN6HKE6W","bundle":"https://pith.science/pith/JASDOOYK5RZUXYY22YNN6HKE6W/bundle.json","state":"https://pith.science/pith/JASDOOYK5RZUXYY22YNN6HKE6W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JASDOOYK5RZUXYY22YNN6HKE6W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JASDOOYK5RZUXYY22YNN6HKE6W","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":"a148534d7f9f8aeda638261d5546c40d5863ef3fa639e98ce6df94ee418ba54a","cross_cats_sorted":["cond-mat.dis-nn","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-16T16:21:37Z","title_canon_sha256":"17c2a4366f1de64fe32c9a68c9feca43fd78baecbbca11c4b289c9316be9d4de"},"schema_version":"1.0","source":{"id":"0912.3180","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3180","created_at":"2026-05-18T02:10:16Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3180v1","created_at":"2026-05-18T02:10:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3180","created_at":"2026-05-18T02:10:16Z"},{"alias_kind":"pith_short_12","alias_value":"JASDOOYK5RZU","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JASDOOYK5RZUXYY2","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JASDOOYK","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:a279cadeb4a576d76ebdba541db2c1d76e475f71af6395df8c49594cbad2da98","target":"graph","created_at":"2026-05-18T02:10:16Z","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":"For a prepared state exact expressions for the time dependent mean fidelity as well as for the mean inverse paricipation ratio are obtained analytically. The distribution function of fidelity in the long time limit and of inverse participation ratio are studied numerically and analytically. Surprising features like fidelity revival and enhanced non--ergodicity are observed. The role of the coupling coefficients and of complexity of background is studied as well.","authors_text":"Hans-Juergen Sommers, Heiner Kohler, Sven Aberg, Thomas Guhr","cross_cats":["cond-mat.dis-nn","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-16T16:21:37Z","title":"Exact Fidelity and Full Fidelity Statistics in Regular and Chaotic Surroundings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3180","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":"sha256:905bce7be7e7466eb73394996ac1b7a125b2a26980a836727d9fc5371be9aa05","target":"record","created_at":"2026-05-18T02:10:16Z","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":"a148534d7f9f8aeda638261d5546c40d5863ef3fa639e98ce6df94ee418ba54a","cross_cats_sorted":["cond-mat.dis-nn","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-16T16:21:37Z","title_canon_sha256":"17c2a4366f1de64fe32c9a68c9feca43fd78baecbbca11c4b289c9316be9d4de"},"schema_version":"1.0","source":{"id":"0912.3180","kind":"arxiv","version":1}},"canonical_sha256":"4824373b0aec734be31ad61adf1d44f5aef417cd7a0ed8a9834f45c918eb056e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4824373b0aec734be31ad61adf1d44f5aef417cd7a0ed8a9834f45c918eb056e","first_computed_at":"2026-05-18T02:10:16.512159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:16.512159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fq68u5sgid4bv2M3LXwv97KvG7W3yY8rkgnMd8N2fTxYgQmYBGKGUc6N3O7AlSbI0l9E198mfZqrDuvCOVtTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:16.512763Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.3180","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:905bce7be7e7466eb73394996ac1b7a125b2a26980a836727d9fc5371be9aa05","sha256:a279cadeb4a576d76ebdba541db2c1d76e475f71af6395df8c49594cbad2da98"],"state_sha256":"bfc396852123c6dba80c7b2487acec34fe0f041c25de19ccd71628a88fe05b01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8OS+UWWJCohKj1tZmOzOFQKbkM8YR2YELIM8qfAM8ZisSejZvoo+fZBnHtejOCe68yO5cjMryZKYoOG1rIZHAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T12:27:25.660266Z","bundle_sha256":"99472c2f202218d947cd6cf53fb8e267765bd2d8f6afb44fc25dd738420f56f4"}}