{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OP5GP34R6VVCHCZKVLT3F2TRTL","short_pith_number":"pith:OP5GP34R","canonical_record":{"source":{"id":"1008.0195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-08-01T18:09:58Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"63f0aaeeed6eceb429b2d990d0d5c3c0e0d106421ea26debdc8ce4cd61df7471","abstract_canon_sha256":"86b60f411f50a5c7d042d9b1df36c9df2dff8e8719b70d5bef62bf310ff82c5e"},"schema_version":"1.0"},"canonical_sha256":"73fa67ef91f56a238b2aaae7b2ea719ac3fe31cc8fd0355baa7672743323c308","source":{"kind":"arxiv","id":"1008.0195","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0195","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0195v1","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0195","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"OP5GP34R6VVC","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OP5GP34R6VVCHCZK","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OP5GP34R","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OP5GP34R6VVCHCZKVLT3F2TRTL","target":"record","payload":{"canonical_record":{"source":{"id":"1008.0195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-08-01T18:09:58Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"63f0aaeeed6eceb429b2d990d0d5c3c0e0d106421ea26debdc8ce4cd61df7471","abstract_canon_sha256":"86b60f411f50a5c7d042d9b1df36c9df2dff8e8719b70d5bef62bf310ff82c5e"},"schema_version":"1.0"},"canonical_sha256":"73fa67ef91f56a238b2aaae7b2ea719ac3fe31cc8fd0355baa7672743323c308","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:00.495243Z","signature_b64":"lgoPxZpMLzx3pkkggrbXcZ3WSqFjouo+qAH0ywQKWQrIfy/nqvxA60gzNqgZRgbLyunOF4t3i51Hj08D74xwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73fa67ef91f56a238b2aaae7b2ea719ac3fe31cc8fd0355baa7672743323c308","last_reissued_at":"2026-05-18T02:06:00.494439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:00.494439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.0195","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":"2026-05-18T02:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+BcWOCZy8ediiOxwImhsppLtWGm6fktVqkxVdJJhHYvbvLfFGlGs4JMaoXKazb8oy1gTjCLBVjozbwQlVQTnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:26:04.888191Z"},"content_sha256":"f04bc5e2b6d8d5a214749f39afa3f6b780d07286c5753ea9fcd1e1f91f4dfadd","schema_version":"1.0","event_id":"sha256:f04bc5e2b6d8d5a214749f39afa3f6b780d07286c5753ea9fcd1e1f91f4dfadd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OP5GP34R6VVCHCZKVLT3F2TRTL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"q-Breathers and thermalization in acoustic chains with arbitrary nonlinearity index","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"cond-mat.other","authors_text":"M.V. Ivanchenko","submitted_at":"2010-08-01T18:09:58Z","abstract_excerpt":"Nonlinearity shapes lattice dynamics affecting vibrational spectrum, transport and thermalization phenomena. Beside breathers and solitons one finds the third fundamental class of nonlinear modes -- $q$-breathers -- periodic orbits in nonlinear lattices, exponentially localized in the reciprocal mode space. To date, the studies of $q$-breathers have been confined to the cubic and quartic nonlinearity in the interaction potential. In this paper we study the case of arbitrary nonlinearity index $\\gamma$ in an acoustic chain. We uncover qualitative difference in the scaling of delocalization and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0195","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":"2026-05-18T02:06:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aHCikAi3MN4jzZUqrbyoDedZWlnfxJiobhPzYnLC9DcFLNq8bm+tWq7twvB8vOcc8zVnoWfusPsmqUMhSg5KDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T19:26:04.888553Z"},"content_sha256":"f70ed99538d59c08bfb16c99f29eabe70fdc419cd0172f5fd08b79567dc54167","schema_version":"1.0","event_id":"sha256:f70ed99538d59c08bfb16c99f29eabe70fdc419cd0172f5fd08b79567dc54167"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OP5GP34R6VVCHCZKVLT3F2TRTL/bundle.json","state_url":"https://pith.science/pith/OP5GP34R6VVCHCZKVLT3F2TRTL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OP5GP34R6VVCHCZKVLT3F2TRTL/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":"2026-06-25T19:26:04Z","links":{"resolver":"https://pith.science/pith/OP5GP34R6VVCHCZKVLT3F2TRTL","bundle":"https://pith.science/pith/OP5GP34R6VVCHCZKVLT3F2TRTL/bundle.json","state":"https://pith.science/pith/OP5GP34R6VVCHCZKVLT3F2TRTL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OP5GP34R6VVCHCZKVLT3F2TRTL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OP5GP34R6VVCHCZKVLT3F2TRTL","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":"86b60f411f50a5c7d042d9b1df36c9df2dff8e8719b70d5bef62bf310ff82c5e","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-08-01T18:09:58Z","title_canon_sha256":"63f0aaeeed6eceb429b2d990d0d5c3c0e0d106421ea26debdc8ce4cd61df7471"},"schema_version":"1.0","source":{"id":"1008.0195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0195","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0195v1","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0195","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"OP5GP34R6VVC","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OP5GP34R6VVCHCZK","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OP5GP34R","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:f70ed99538d59c08bfb16c99f29eabe70fdc419cd0172f5fd08b79567dc54167","target":"graph","created_at":"2026-05-18T02:06:00Z","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":"Nonlinearity shapes lattice dynamics affecting vibrational spectrum, transport and thermalization phenomena. Beside breathers and solitons one finds the third fundamental class of nonlinear modes -- $q$-breathers -- periodic orbits in nonlinear lattices, exponentially localized in the reciprocal mode space. To date, the studies of $q$-breathers have been confined to the cubic and quartic nonlinearity in the interaction potential. In this paper we study the case of arbitrary nonlinearity index $\\gamma$ in an acoustic chain. We uncover qualitative difference in the scaling of delocalization and ","authors_text":"M.V. Ivanchenko","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-08-01T18:09:58Z","title":"q-Breathers and thermalization in acoustic chains with arbitrary nonlinearity index"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0195","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:f04bc5e2b6d8d5a214749f39afa3f6b780d07286c5753ea9fcd1e1f91f4dfadd","target":"record","created_at":"2026-05-18T02:06:00Z","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":"86b60f411f50a5c7d042d9b1df36c9df2dff8e8719b70d5bef62bf310ff82c5e","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2010-08-01T18:09:58Z","title_canon_sha256":"63f0aaeeed6eceb429b2d990d0d5c3c0e0d106421ea26debdc8ce4cd61df7471"},"schema_version":"1.0","source":{"id":"1008.0195","kind":"arxiv","version":1}},"canonical_sha256":"73fa67ef91f56a238b2aaae7b2ea719ac3fe31cc8fd0355baa7672743323c308","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73fa67ef91f56a238b2aaae7b2ea719ac3fe31cc8fd0355baa7672743323c308","first_computed_at":"2026-05-18T02:06:00.494439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:00.494439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lgoPxZpMLzx3pkkggrbXcZ3WSqFjouo+qAH0ywQKWQrIfy/nqvxA60gzNqgZRgbLyunOF4t3i51Hj08D74xwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:00.495243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f04bc5e2b6d8d5a214749f39afa3f6b780d07286c5753ea9fcd1e1f91f4dfadd","sha256:f70ed99538d59c08bfb16c99f29eabe70fdc419cd0172f5fd08b79567dc54167"],"state_sha256":"89671ed5bd0493c67f5a02d2605e5f33df31c20ad09c8a42c502fe9c14503174"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"An5GbZ3YpGvQubc0EoJFX9bmui0vt5WxDEtLxnsvVQe/6os6Av1/6HeJuUArcA8hBongtsw6nKc0gP7rosIHCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T19:26:04.890795Z","bundle_sha256":"eed016fab4fa5cdf5b7266d65b36ef367812bc830942acab42dccee562789410"}}