{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:QWPHECFSCKEW5ZWJABKLJBAR66","short_pith_number":"pith:QWPHECFS","canonical_record":{"source":{"id":"0812.0662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-12-03T07:18:29Z","cross_cats_sorted":[],"title_canon_sha256":"4b0e7abadbbd11b754904d9b10d306969d3aecd88470e4c1f1beb8a67871b604","abstract_canon_sha256":"e362cc2821211a1fef7f5eed94d3cc56b8e6a9bbe81cd92948c2f46fcdc59c0b"},"schema_version":"1.0"},"canonical_sha256":"859e7208b212896ee6c90054b48411f79f06336540025dc2a773efe2f331c8c1","source":{"kind":"arxiv","id":"0812.0662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.0662","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"0812.0662v1","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.0662","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"QWPHECFSCKEW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"QWPHECFSCKEW5ZWJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"QWPHECFS","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:QWPHECFSCKEW5ZWJABKLJBAR66","target":"record","payload":{"canonical_record":{"source":{"id":"0812.0662","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-12-03T07:18:29Z","cross_cats_sorted":[],"title_canon_sha256":"4b0e7abadbbd11b754904d9b10d306969d3aecd88470e4c1f1beb8a67871b604","abstract_canon_sha256":"e362cc2821211a1fef7f5eed94d3cc56b8e6a9bbe81cd92948c2f46fcdc59c0b"},"schema_version":"1.0"},"canonical_sha256":"859e7208b212896ee6c90054b48411f79f06336540025dc2a773efe2f331c8c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:49.983417Z","signature_b64":"zLiQzKiCWyWRh0WVWwwuUjYv4trflQmLasA9oBuO/IHpjHs9xiMTa/ZW/pBV4AuaEfj7SdgsO+onx75qzp8bDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"859e7208b212896ee6c90054b48411f79f06336540025dc2a773efe2f331c8c1","last_reissued_at":"2026-05-18T04:33:49.982941Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:49.982941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.0662","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":"2026-05-18T04:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UqykRa+N2W/kPNKrdP7ZmceCziyw6e5Az8OUHDDR5QC2B4STiyEsul6K30/y5TdP7DMY5FRIUXAQ4ri7cd2EDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:09:40.680603Z"},"content_sha256":"8d97a7930b345a8962cdfb44dc3cb85b6a7ebe55a1bada9545fc2a1e24af6883","schema_version":"1.0","event_id":"sha256:8d97a7930b345a8962cdfb44dc3cb85b6a7ebe55a1bada9545fc2a1e24af6883"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:QWPHECFSCKEW5ZWJABKLJBAR66","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dissipative Solitary Waves in Granular Crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"C. Daraio, D. Khatri, Mason A. Porter, P. G. Kevrekidis, R. Carretero-Gonzalez","submitted_at":"2008-12-03T07:18:29Z","abstract_excerpt":"We provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively-accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a {\\em common} dissipation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.0662","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":"2026-05-18T04:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YaQpa0d9bqRx+UexctPE+7zbN0lkrq2F5xBCu6DJog2kpWRVXM9NktXwumQ03zaSVpAULlqyJQokRAclGvjEDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:09:40.680947Z"},"content_sha256":"94bc9d14c7cdd4506e1bedf552a94043c1f68147b9cb58f675b200c159be7277","schema_version":"1.0","event_id":"sha256:94bc9d14c7cdd4506e1bedf552a94043c1f68147b9cb58f675b200c159be7277"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWPHECFSCKEW5ZWJABKLJBAR66/bundle.json","state_url":"https://pith.science/pith/QWPHECFSCKEW5ZWJABKLJBAR66/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWPHECFSCKEW5ZWJABKLJBAR66/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":"2026-05-20T11:09:40Z","links":{"resolver":"https://pith.science/pith/QWPHECFSCKEW5ZWJABKLJBAR66","bundle":"https://pith.science/pith/QWPHECFSCKEW5ZWJABKLJBAR66/bundle.json","state":"https://pith.science/pith/QWPHECFSCKEW5ZWJABKLJBAR66/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWPHECFSCKEW5ZWJABKLJBAR66/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:QWPHECFSCKEW5ZWJABKLJBAR66","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":"e362cc2821211a1fef7f5eed94d3cc56b8e6a9bbe81cd92948c2f46fcdc59c0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-12-03T07:18:29Z","title_canon_sha256":"4b0e7abadbbd11b754904d9b10d306969d3aecd88470e4c1f1beb8a67871b604"},"schema_version":"1.0","source":{"id":"0812.0662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.0662","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"0812.0662v1","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.0662","created_at":"2026-05-18T04:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"QWPHECFSCKEW","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"QWPHECFSCKEW5ZWJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"QWPHECFS","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:94bc9d14c7cdd4506e1bedf552a94043c1f68147b9cb58f675b200c159be7277","target":"graph","created_at":"2026-05-18T04:33:49Z","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 provide a quantitative characterization of dissipative effects in one-dimensional granular crystals. We use the propagation of highly nonlinear solitary waves as a diagnostic tool and develop optimization schemes that allow one to compute the relevant exponents and prefactors of the dissipative terms in the equations of motion. We thereby propose a quantitatively-accurate extension of the Hertzian model that encompasses dissipative effects via a discrete Laplacian of the velocities. Experiments and computations with steel, brass, and polytetrafluoroethylene reveal a {\\em common} dissipation","authors_text":"C. Daraio, D. Khatri, Mason A. Porter, P. G. Kevrekidis, R. Carretero-Gonzalez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-12-03T07:18:29Z","title":"Dissipative Solitary Waves in Granular Crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.0662","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":"sha256:8d97a7930b345a8962cdfb44dc3cb85b6a7ebe55a1bada9545fc2a1e24af6883","target":"record","created_at":"2026-05-18T04:33:49Z","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":"e362cc2821211a1fef7f5eed94d3cc56b8e6a9bbe81cd92948c2f46fcdc59c0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2008-12-03T07:18:29Z","title_canon_sha256":"4b0e7abadbbd11b754904d9b10d306969d3aecd88470e4c1f1beb8a67871b604"},"schema_version":"1.0","source":{"id":"0812.0662","kind":"arxiv","version":1}},"canonical_sha256":"859e7208b212896ee6c90054b48411f79f06336540025dc2a773efe2f331c8c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"859e7208b212896ee6c90054b48411f79f06336540025dc2a773efe2f331c8c1","first_computed_at":"2026-05-18T04:33:49.982941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:49.982941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zLiQzKiCWyWRh0WVWwwuUjYv4trflQmLasA9oBuO/IHpjHs9xiMTa/ZW/pBV4AuaEfj7SdgsO+onx75qzp8bDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:49.983417Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.0662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d97a7930b345a8962cdfb44dc3cb85b6a7ebe55a1bada9545fc2a1e24af6883","sha256:94bc9d14c7cdd4506e1bedf552a94043c1f68147b9cb58f675b200c159be7277"],"state_sha256":"52028e4d57aebfa71cd1ae36ce29fc7860decc7f2ba49800c43f72625f2b24be"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yoon0R5A46L7dJGsKaskO2yRz3D/m+cyL4dElaHSV1EM2l3MzAeb8n1An3tsziIf13oILmClW0BCiFO/QcMtAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T11:09:40.683132Z","bundle_sha256":"35f7171fb3745125d08e409c86c28a1a1a9e88ff09006d509ea56756cbb93062"}}