{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DUO4JBASLXGNRC6YTXS3TSDMPR","short_pith_number":"pith:DUO4JBAS","canonical_record":{"source":{"id":"1111.1857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-08T10:27:17Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"29d2069c493b5d09fdf481ad2359256679e25e93d362a9db8c74a09410ce6bf0","abstract_canon_sha256":"dc21b3b2338f4d63c13b89b134cec64f3295a0035755858c2d2821ccc49baac1"},"schema_version":"1.0"},"canonical_sha256":"1d1dc484125dccd88bd89de5b9c86c7c7a29b6efe3c0a7dac6d2a9712651c7ae","source":{"kind":"arxiv","id":"1111.1857","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1857","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1857v1","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1857","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"pith_short_12","alias_value":"DUO4JBASLXGN","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DUO4JBASLXGNRC6Y","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DUO4JBAS","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DUO4JBASLXGNRC6YTXS3TSDMPR","target":"record","payload":{"canonical_record":{"source":{"id":"1111.1857","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-08T10:27:17Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"29d2069c493b5d09fdf481ad2359256679e25e93d362a9db8c74a09410ce6bf0","abstract_canon_sha256":"dc21b3b2338f4d63c13b89b134cec64f3295a0035755858c2d2821ccc49baac1"},"schema_version":"1.0"},"canonical_sha256":"1d1dc484125dccd88bd89de5b9c86c7c7a29b6efe3c0a7dac6d2a9712651c7ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:44.234925Z","signature_b64":"1mRdXyPSyeKaWK7c6X6lz9NYdycWLfhyyeabzdSwzB1WnKzDzEvGXM2PCzzrvhqhcAnPyo8CVbQvH1jnVsIHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d1dc484125dccd88bd89de5b9c86c7c7a29b6efe3c0a7dac6d2a9712651c7ae","last_reissued_at":"2026-05-18T04:08:44.234260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:44.234260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.1857","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":"2026-05-18T04:08:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E7r/eIrO1tBuHap6iK1Bsxq++Za/mxRTbOjBFshp/5m2c6B2+vLepIbAExCKVf1vd0ob6Kjz++AFc6FcwFtHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:25:32.927496Z"},"content_sha256":"45407104328438105d48c33f2f3635b0389abf8cd54ecdf94d3464e1eec13f7b","schema_version":"1.0","event_id":"sha256:45407104328438105d48c33f2f3635b0389abf8cd54ecdf94d3464e1eec13f7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DUO4JBASLXGNRC6YTXS3TSDMPR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Breathers in oscillator chains with Hertzian interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"nlin.PS","authors_text":"Guillaume James (LJK), Jesus Cuevas, Panayotis Kevrekidis","submitted_at":"2011-11-08T10:27:17Z","abstract_excerpt":"We prove nonexistence of breathers (spatially localized and time-periodic oscillations) for a class of Fermi-Pasta-Ulam lattices representing an uncompressed chain of beads interacting via Hertz's contact forces. We then consider the setting in which an additional on-site potential is present, motivated by the Newton's cradle under the effect of gravity. Using both direct numerical computations and a simplified asymptotic model of the oscillator chain, the so-called discrete p-Schr\\\"odinger (DpS) equation, we show the existence of discrete breathers and study their spectral properties and mobi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1857","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":"2026-05-18T04:08:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wshDI1uU9p04Rfa9DsZu2msd+LqV6R81iRJx60SdYAq26j6m10sG25wO2hfYIZsY7gBdqLbggrLydxImDF7/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:25:32.927848Z"},"content_sha256":"22bd2f5a4f964dff57ad3291f9c6e384e58b0100d50b50e711602069950294aa","schema_version":"1.0","event_id":"sha256:22bd2f5a4f964dff57ad3291f9c6e384e58b0100d50b50e711602069950294aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DUO4JBASLXGNRC6YTXS3TSDMPR/bundle.json","state_url":"https://pith.science/pith/DUO4JBASLXGNRC6YTXS3TSDMPR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DUO4JBASLXGNRC6YTXS3TSDMPR/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":"2026-06-25T10:25:32Z","links":{"resolver":"https://pith.science/pith/DUO4JBASLXGNRC6YTXS3TSDMPR","bundle":"https://pith.science/pith/DUO4JBASLXGNRC6YTXS3TSDMPR/bundle.json","state":"https://pith.science/pith/DUO4JBASLXGNRC6YTXS3TSDMPR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DUO4JBASLXGNRC6YTXS3TSDMPR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DUO4JBASLXGNRC6YTXS3TSDMPR","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":"dc21b3b2338f4d63c13b89b134cec64f3295a0035755858c2d2821ccc49baac1","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-08T10:27:17Z","title_canon_sha256":"29d2069c493b5d09fdf481ad2359256679e25e93d362a9db8c74a09410ce6bf0"},"schema_version":"1.0","source":{"id":"1111.1857","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1857","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1857v1","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1857","created_at":"2026-05-18T04:08:44Z"},{"alias_kind":"pith_short_12","alias_value":"DUO4JBASLXGN","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DUO4JBASLXGNRC6Y","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DUO4JBAS","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:22bd2f5a4f964dff57ad3291f9c6e384e58b0100d50b50e711602069950294aa","target":"graph","created_at":"2026-05-18T04:08:44Z","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 prove nonexistence of breathers (spatially localized and time-periodic oscillations) for a class of Fermi-Pasta-Ulam lattices representing an uncompressed chain of beads interacting via Hertz's contact forces. We then consider the setting in which an additional on-site potential is present, motivated by the Newton's cradle under the effect of gravity. Using both direct numerical computations and a simplified asymptotic model of the oscillator chain, the so-called discrete p-Schr\\\"odinger (DpS) equation, we show the existence of discrete breathers and study their spectral properties and mobi","authors_text":"Guillaume James (LJK), Jesus Cuevas, Panayotis Kevrekidis","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-08T10:27:17Z","title":"Breathers in oscillator chains with Hertzian interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1857","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":"sha256:45407104328438105d48c33f2f3635b0389abf8cd54ecdf94d3464e1eec13f7b","target":"record","created_at":"2026-05-18T04:08:44Z","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":"dc21b3b2338f4d63c13b89b134cec64f3295a0035755858c2d2821ccc49baac1","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-11-08T10:27:17Z","title_canon_sha256":"29d2069c493b5d09fdf481ad2359256679e25e93d362a9db8c74a09410ce6bf0"},"schema_version":"1.0","source":{"id":"1111.1857","kind":"arxiv","version":1}},"canonical_sha256":"1d1dc484125dccd88bd89de5b9c86c7c7a29b6efe3c0a7dac6d2a9712651c7ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d1dc484125dccd88bd89de5b9c86c7c7a29b6efe3c0a7dac6d2a9712651c7ae","first_computed_at":"2026-05-18T04:08:44.234260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:44.234260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1mRdXyPSyeKaWK7c6X6lz9NYdycWLfhyyeabzdSwzB1WnKzDzEvGXM2PCzzrvhqhcAnPyo8CVbQvH1jnVsIHAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:44.234925Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1857","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45407104328438105d48c33f2f3635b0389abf8cd54ecdf94d3464e1eec13f7b","sha256:22bd2f5a4f964dff57ad3291f9c6e384e58b0100d50b50e711602069950294aa"],"state_sha256":"07fe8c5022746c6073f1891d903f7120d446d7a7c2374da9c42ea1db46cdc910"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+gfqN6P/mXrIm9xcjk01Y3yUpJXzdiLjDpuCOPilInN2+PNxfHesLnfkSkxFNJH0ltZ/0vhyFRNrCkF/b2GOBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:25:32.930133Z","bundle_sha256":"13863f99c2ce37999bdfe64299f165cc48244f727f16daae28537bf79da607c7"}}