{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NKBC52QM46SSIQNJFM6XBF73YU","short_pith_number":"pith:NKBC52QM","canonical_record":{"source":{"id":"1311.5021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-20T11:36:00Z","cross_cats_sorted":[],"title_canon_sha256":"653e34ef166a0e8e0f57769eb09f9a56cc791e03cee7b1692095e050a43f3bbd","abstract_canon_sha256":"71ac510ddd380b594495f34457b4e7cccbef2fd802a2c641e9dcbc6886f136b3"},"schema_version":"1.0"},"canonical_sha256":"6a822eea0ce7a52441a92b3d7097fbc5188d37f7780954f8acb74d094a2d0885","source":{"kind":"arxiv","id":"1311.5021","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5021","created_at":"2026-05-18T01:46:12Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5021v1","created_at":"2026-05-18T01:46:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5021","created_at":"2026-05-18T01:46:12Z"},{"alias_kind":"pith_short_12","alias_value":"NKBC52QM46SS","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NKBC52QM46SSIQNJ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NKBC52QM","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NKBC52QM46SSIQNJFM6XBF73YU","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5021","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-20T11:36:00Z","cross_cats_sorted":[],"title_canon_sha256":"653e34ef166a0e8e0f57769eb09f9a56cc791e03cee7b1692095e050a43f3bbd","abstract_canon_sha256":"71ac510ddd380b594495f34457b4e7cccbef2fd802a2c641e9dcbc6886f136b3"},"schema_version":"1.0"},"canonical_sha256":"6a822eea0ce7a52441a92b3d7097fbc5188d37f7780954f8acb74d094a2d0885","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:12.255667Z","signature_b64":"s72MYQjIIF7uP+iSlPD43qYN1KZNgSyHo5SYH5ebd1cuzfkGJl2m2+IUX/o3ZJv+5R/711KdZAJAHLJzHv+CCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a822eea0ce7a52441a92b3d7097fbc5188d37f7780954f8acb74d094a2d0885","last_reissued_at":"2026-05-18T01:46:12.255009Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:12.255009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5021","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":"2026-05-18T01:46:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1a50xyDgcBfvaXxSISDYkPq6rGpreUOkjuVi3ou5Opm2FHJa9aleihQnfHuBmXfMSoGKhp/8zpEwrZCw5H0bDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:23:37.488057Z"},"content_sha256":"d9b77d3a0ca631ca396085f0d0bb28a83fee0fde1ef596e0778da9c9b2af58e5","schema_version":"1.0","event_id":"sha256:d9b77d3a0ca631ca396085f0d0bb28a83fee0fde1ef596e0778da9c9b2af58e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NKBC52QM46SSIQNJFM6XBF73YU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear response of a linear chain to weak driving","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"A.D. Burbanks, C. Mulhern, D. Hennig, L. Schimansky-Geier","submitted_at":"2013-11-20T11:36:00Z","abstract_excerpt":"We study the escape of a chain of coupled units over the barrier of a metastable potential. It is demonstrated that a very weak external driving field with suitably chosen frequency suffices to accomplish speedy escape. The latter requires the passage through a transition state the formation of which is triggered by permanent feeding of energy from a phonon background into humps of localised energy and elastic interaction of the arising breather solutions. In fact, cooperativity between the units of the chain entailing coordinated energy transfer is shown to be crucial for enhancing the rate o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5021","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":"2026-05-18T01:46:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l3ZNqO1we+IAjwcUbpD/4G4xf1NJAwiP/MwudiMyOcFH/RT14NDlVGa99ycPf419ueA8KG1n8+hERii9yp04AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T11:23:37.488423Z"},"content_sha256":"22f041ef3901043bb9357c4153fd14e84f15eeccb81fbac15cff31c331f34fed","schema_version":"1.0","event_id":"sha256:22f041ef3901043bb9357c4153fd14e84f15eeccb81fbac15cff31c331f34fed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NKBC52QM46SSIQNJFM6XBF73YU/bundle.json","state_url":"https://pith.science/pith/NKBC52QM46SSIQNJFM6XBF73YU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NKBC52QM46SSIQNJFM6XBF73YU/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":"2026-06-29T11:23:37Z","links":{"resolver":"https://pith.science/pith/NKBC52QM46SSIQNJFM6XBF73YU","bundle":"https://pith.science/pith/NKBC52QM46SSIQNJFM6XBF73YU/bundle.json","state":"https://pith.science/pith/NKBC52QM46SSIQNJFM6XBF73YU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NKBC52QM46SSIQNJFM6XBF73YU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NKBC52QM46SSIQNJFM6XBF73YU","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":"71ac510ddd380b594495f34457b4e7cccbef2fd802a2c641e9dcbc6886f136b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-20T11:36:00Z","title_canon_sha256":"653e34ef166a0e8e0f57769eb09f9a56cc791e03cee7b1692095e050a43f3bbd"},"schema_version":"1.0","source":{"id":"1311.5021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5021","created_at":"2026-05-18T01:46:12Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5021v1","created_at":"2026-05-18T01:46:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5021","created_at":"2026-05-18T01:46:12Z"},{"alias_kind":"pith_short_12","alias_value":"NKBC52QM46SS","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NKBC52QM46SSIQNJ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NKBC52QM","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:22f041ef3901043bb9357c4153fd14e84f15eeccb81fbac15cff31c331f34fed","target":"graph","created_at":"2026-05-18T01:46:12Z","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 escape of a chain of coupled units over the barrier of a metastable potential. It is demonstrated that a very weak external driving field with suitably chosen frequency suffices to accomplish speedy escape. The latter requires the passage through a transition state the formation of which is triggered by permanent feeding of energy from a phonon background into humps of localised energy and elastic interaction of the arising breather solutions. In fact, cooperativity between the units of the chain entailing coordinated energy transfer is shown to be crucial for enhancing the rate o","authors_text":"A.D. Burbanks, C. Mulhern, D. Hennig, L. Schimansky-Geier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-20T11:36:00Z","title":"Nonlinear response of a linear chain to weak driving"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5021","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:d9b77d3a0ca631ca396085f0d0bb28a83fee0fde1ef596e0778da9c9b2af58e5","target":"record","created_at":"2026-05-18T01:46:12Z","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":"71ac510ddd380b594495f34457b4e7cccbef2fd802a2c641e9dcbc6886f136b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-20T11:36:00Z","title_canon_sha256":"653e34ef166a0e8e0f57769eb09f9a56cc791e03cee7b1692095e050a43f3bbd"},"schema_version":"1.0","source":{"id":"1311.5021","kind":"arxiv","version":1}},"canonical_sha256":"6a822eea0ce7a52441a92b3d7097fbc5188d37f7780954f8acb74d094a2d0885","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a822eea0ce7a52441a92b3d7097fbc5188d37f7780954f8acb74d094a2d0885","first_computed_at":"2026-05-18T01:46:12.255009Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:12.255009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s72MYQjIIF7uP+iSlPD43qYN1KZNgSyHo5SYH5ebd1cuzfkGJl2m2+IUX/o3ZJv+5R/711KdZAJAHLJzHv+CCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:12.255667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9b77d3a0ca631ca396085f0d0bb28a83fee0fde1ef596e0778da9c9b2af58e5","sha256:22f041ef3901043bb9357c4153fd14e84f15eeccb81fbac15cff31c331f34fed"],"state_sha256":"29f619870b3d1faa4047f5fdedadf56e736b64123c2ba980bb11b7f288ce82c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o+l9Tg2Zk/dV9OhUGl74mCwp0IvDgqAapY6Tn9G6g9Rlzf0odZUd/x6TEcN5Omf3SZkolnkttqaUg1UYuwgqCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T11:23:37.490409Z","bundle_sha256":"05e32c3bc2d6ee33b65060eefeff757bc88ecffebf1276379cf770ee093f1da8"}}