{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:X676HS436CIM72YULU6DVQH5L5","short_pith_number":"pith:X676HS43","canonical_record":{"source":{"id":"1107.5270","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-26T17:29:31Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"9ab83e9bc090539c2abccbe86f66129f4b7dba2b85c781396c627927b0926075","abstract_canon_sha256":"50f7542c292db5dcd41e0b7ecff37875e0ad6674b66af0153955054f09bace41"},"schema_version":"1.0"},"canonical_sha256":"bfbfe3cb9bf090cfeb145d3c3ac0fd5f505b133b152d0fcb6a8d749e1f5f3b46","source":{"kind":"arxiv","id":"1107.5270","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5270","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5270v3","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5270","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"X676HS436CIM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X676HS436CIM72YU","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X676HS43","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:X676HS436CIM72YULU6DVQH5L5","target":"record","payload":{"canonical_record":{"source":{"id":"1107.5270","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-26T17:29:31Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"9ab83e9bc090539c2abccbe86f66129f4b7dba2b85c781396c627927b0926075","abstract_canon_sha256":"50f7542c292db5dcd41e0b7ecff37875e0ad6674b66af0153955054f09bace41"},"schema_version":"1.0"},"canonical_sha256":"bfbfe3cb9bf090cfeb145d3c3ac0fd5f505b133b152d0fcb6a8d749e1f5f3b46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:46.743683Z","signature_b64":"WywwkdeukQ9pILOxvfeVUZvCkGPvphfurVAjK6Q2dhDEAgP+1jgHEhkXA/Rq/1PinqXNHpu1NaK+l8fRm+8KBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfbfe3cb9bf090cfeb145d3c3ac0fd5f505b133b152d0fcb6a8d749e1f5f3b46","last_reissued_at":"2026-05-18T03:36:46.743165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:46.743165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.5270","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:36:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X6L0DbEuJ9VHFyUcHWn0Q35T/oeQkmajK5ipWtZ7+DsjQavk1PoY1jQs0r7TabP5N4L9prN/zhDkUXtCem7sCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:48:46.086080Z"},"content_sha256":"aee8938c533f1b85f503a743f60e7d7b475e4db1058fb4bd0ebafa9a2bbb55eb","schema_version":"1.0","event_id":"sha256:aee8938c533f1b85f503a743f60e7d7b475e4db1058fb4bd0ebafa9a2bbb55eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:X676HS436CIM72YULU6DVQH5L5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The effect of discrete breathers on heat conduction in nonlinear chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"cond-mat.stat-mech","authors_text":"Daxing Xiong, Hong Zhao, Jiao Wang, Yong Zhang","submitted_at":"2011-07-26T17:29:31Z","abstract_excerpt":"Intensive studies in the past decades have suggested that the heat conductivity $\\kappa$ diverges with the system size $L$ as $\\kappa\\sim L^{\\alpha}$ in one dimensional momentum conserving nonlinear lattices and the value of $\\alpha$ is universal. But in the Fermi-Pasta-Ulam-$\\beta$ lattices with next-nearest-neighbor interactions we find that $\\alpha$ strongly depends on $\\gamma$, the ratio of the next-nearest-neighbor coupling to the nearest-neighbor coupling. We relate the $\\gamma$-dependent heat conduction to the interactions between the long-wavelength phonons and the randomly distributed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5270","kind":"arxiv","version":3},"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":"2026-05-18T03:36:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ax1WFbZyeGDVlqVtxeCzkuF/hb19q1EiQPRxgrCpRIY7eHqvsqcVvdq0dSg7JORBoB8q1IjsAhrXx8e4sYQOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:48:46.086431Z"},"content_sha256":"ce893585d193e2c29a7d4323bd02128e29e4abc73086203cfdfeef5fb8cf255e","schema_version":"1.0","event_id":"sha256:ce893585d193e2c29a7d4323bd02128e29e4abc73086203cfdfeef5fb8cf255e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X676HS436CIM72YULU6DVQH5L5/bundle.json","state_url":"https://pith.science/pith/X676HS436CIM72YULU6DVQH5L5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X676HS436CIM72YULU6DVQH5L5/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":"2026-06-02T15:48:46Z","links":{"resolver":"https://pith.science/pith/X676HS436CIM72YULU6DVQH5L5","bundle":"https://pith.science/pith/X676HS436CIM72YULU6DVQH5L5/bundle.json","state":"https://pith.science/pith/X676HS436CIM72YULU6DVQH5L5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X676HS436CIM72YULU6DVQH5L5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:X676HS436CIM72YULU6DVQH5L5","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":"50f7542c292db5dcd41e0b7ecff37875e0ad6674b66af0153955054f09bace41","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-26T17:29:31Z","title_canon_sha256":"9ab83e9bc090539c2abccbe86f66129f4b7dba2b85c781396c627927b0926075"},"schema_version":"1.0","source":{"id":"1107.5270","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5270","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5270v3","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5270","created_at":"2026-05-18T03:36:46Z"},{"alias_kind":"pith_short_12","alias_value":"X676HS436CIM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X676HS436CIM72YU","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X676HS43","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:ce893585d193e2c29a7d4323bd02128e29e4abc73086203cfdfeef5fb8cf255e","target":"graph","created_at":"2026-05-18T03:36:46Z","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":"Intensive studies in the past decades have suggested that the heat conductivity $\\kappa$ diverges with the system size $L$ as $\\kappa\\sim L^{\\alpha}$ in one dimensional momentum conserving nonlinear lattices and the value of $\\alpha$ is universal. But in the Fermi-Pasta-Ulam-$\\beta$ lattices with next-nearest-neighbor interactions we find that $\\alpha$ strongly depends on $\\gamma$, the ratio of the next-nearest-neighbor coupling to the nearest-neighbor coupling. We relate the $\\gamma$-dependent heat conduction to the interactions between the long-wavelength phonons and the randomly distributed","authors_text":"Daxing Xiong, Hong Zhao, Jiao Wang, Yong Zhang","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-26T17:29:31Z","title":"The effect of discrete breathers on heat conduction in nonlinear chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5270","kind":"arxiv","version":3},"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:aee8938c533f1b85f503a743f60e7d7b475e4db1058fb4bd0ebafa9a2bbb55eb","target":"record","created_at":"2026-05-18T03:36:46Z","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":"50f7542c292db5dcd41e0b7ecff37875e0ad6674b66af0153955054f09bace41","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-07-26T17:29:31Z","title_canon_sha256":"9ab83e9bc090539c2abccbe86f66129f4b7dba2b85c781396c627927b0926075"},"schema_version":"1.0","source":{"id":"1107.5270","kind":"arxiv","version":3}},"canonical_sha256":"bfbfe3cb9bf090cfeb145d3c3ac0fd5f505b133b152d0fcb6a8d749e1f5f3b46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfbfe3cb9bf090cfeb145d3c3ac0fd5f505b133b152d0fcb6a8d749e1f5f3b46","first_computed_at":"2026-05-18T03:36:46.743165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:46.743165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WywwkdeukQ9pILOxvfeVUZvCkGPvphfurVAjK6Q2dhDEAgP+1jgHEhkXA/Rq/1PinqXNHpu1NaK+l8fRm+8KBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:46.743683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5270","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aee8938c533f1b85f503a743f60e7d7b475e4db1058fb4bd0ebafa9a2bbb55eb","sha256:ce893585d193e2c29a7d4323bd02128e29e4abc73086203cfdfeef5fb8cf255e"],"state_sha256":"0ffd1e81ed81857b7f8d6bb08a47b2ee9b5aad85ce36ee3dadd3964030d7b97a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CR302eBlR6WTFPQL8A9EuwoZYfUg+vF56QyXaTAJGEbRR9jVgEnPlAv4fbXVbFMRLJ61nhSoLsc8L4oaRpf3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:48:46.088414Z","bundle_sha256":"31bcb47af2fa8d58f88f3696d32e44318a28108c310aab80e1a12b4275bf2288"}}