{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RVUVND5GGC2WGFZ4MZPSHZIDVJ","short_pith_number":"pith:RVUVND5G","canonical_record":{"source":{"id":"1607.05205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-14T09:03:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"329ce30d68d887c43134b4d8bf51658aa7231a8c903a6790f314e5dfe8f50d96","abstract_canon_sha256":"55d87f73ffe5b0b3fd8494c755d8a420f89702748d2234e0fdf67b05a5ee5ad4"},"schema_version":"1.0"},"canonical_sha256":"8d69568fa630b563173c665f23e503aa6b97466a7541e09b5364c3cef5498f2d","source":{"kind":"arxiv","id":"1607.05205","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05205","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05205v1","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05205","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"RVUVND5GGC2W","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RVUVND5GGC2WGFZ4","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RVUVND5G","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RVUVND5GGC2WGFZ4MZPSHZIDVJ","target":"record","payload":{"canonical_record":{"source":{"id":"1607.05205","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-14T09:03:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"329ce30d68d887c43134b4d8bf51658aa7231a8c903a6790f314e5dfe8f50d96","abstract_canon_sha256":"55d87f73ffe5b0b3fd8494c755d8a420f89702748d2234e0fdf67b05a5ee5ad4"},"schema_version":"1.0"},"canonical_sha256":"8d69568fa630b563173c665f23e503aa6b97466a7541e09b5364c3cef5498f2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:05.831442Z","signature_b64":"Ywxxc1fzCBNSyoXv4Q5dRUMkZM8IQHKbLuOhBn7QNN4b7UzdggwjaMwjMXqQxzQVmJ+SXnr+zFlPPfH45OMsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d69568fa630b563173c665f23e503aa6b97466a7541e09b5364c3cef5498f2d","last_reissued_at":"2026-05-18T01:03:05.830840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:05.830840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.05205","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":"2026-05-18T01:03:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C0T+5jEPRZsRY2IPcYbYWj/XiPnORRqHnC/RydcjVeJPhaiNJRxELKFVVQ7q67XL0iKSK1DAQA8qAN8e1244Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:19:48.729761Z"},"content_sha256":"616d205b069d0195a903914e8eacc1c6b83750ea3d305e08bf15f99e5341c2e1","schema_version":"1.0","event_id":"sha256:616d205b069d0195a903914e8eacc1c6b83750ea3d305e08bf15f99e5341c2e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RVUVND5GGC2WGFZ4MZPSHZIDVJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shocks, rarefaction waves, and current fluctuations for anharmonic chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Christian B. Mendl, Herbert Spohn","submitted_at":"2016-07-14T09:03:28Z","abstract_excerpt":"The nonequilibrium dynamics of anharmonic chains is studied by imposing an initial domain-wall state, in which the two half lattices are prepared in equilibrium with distinct parameters. We analyse the Riemann problem for the corresponding Euler equations and, in specific cases, compare with molecular dynamics. Additionally, the fluctuations of time-integrated currents are investigated. In analogy with the KPZ equation, their typical fluctuations should be of size $t^{1/3}$ and have a Tracy-Widom GUE distributed amplitude. The proper extension to anharmonic chains is explained and tested throu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05205","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":"2026-05-18T01:03:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XQoBGSNzqPptck8IhvDqPdiCehmE39TM3/daeWGnEfCX0LXyT/B28zsB+Xx4kPMp5YDqvaTLUJtI6O/G4j7uCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:19:48.730483Z"},"content_sha256":"2a46b7872249cba7332de188363cdd9c138f80d82cce387f132412d19c4f2bbb","schema_version":"1.0","event_id":"sha256:2a46b7872249cba7332de188363cdd9c138f80d82cce387f132412d19c4f2bbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVUVND5GGC2WGFZ4MZPSHZIDVJ/bundle.json","state_url":"https://pith.science/pith/RVUVND5GGC2WGFZ4MZPSHZIDVJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVUVND5GGC2WGFZ4MZPSHZIDVJ/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":"2026-06-06T23:19:48Z","links":{"resolver":"https://pith.science/pith/RVUVND5GGC2WGFZ4MZPSHZIDVJ","bundle":"https://pith.science/pith/RVUVND5GGC2WGFZ4MZPSHZIDVJ/bundle.json","state":"https://pith.science/pith/RVUVND5GGC2WGFZ4MZPSHZIDVJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVUVND5GGC2WGFZ4MZPSHZIDVJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RVUVND5GGC2WGFZ4MZPSHZIDVJ","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":"55d87f73ffe5b0b3fd8494c755d8a420f89702748d2234e0fdf67b05a5ee5ad4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-14T09:03:28Z","title_canon_sha256":"329ce30d68d887c43134b4d8bf51658aa7231a8c903a6790f314e5dfe8f50d96"},"schema_version":"1.0","source":{"id":"1607.05205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05205","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05205v1","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05205","created_at":"2026-05-18T01:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"RVUVND5GGC2W","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RVUVND5GGC2WGFZ4","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RVUVND5G","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:2a46b7872249cba7332de188363cdd9c138f80d82cce387f132412d19c4f2bbb","target":"graph","created_at":"2026-05-18T01:03:05Z","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":"The nonequilibrium dynamics of anharmonic chains is studied by imposing an initial domain-wall state, in which the two half lattices are prepared in equilibrium with distinct parameters. We analyse the Riemann problem for the corresponding Euler equations and, in specific cases, compare with molecular dynamics. Additionally, the fluctuations of time-integrated currents are investigated. In analogy with the KPZ equation, their typical fluctuations should be of size $t^{1/3}$ and have a Tracy-Widom GUE distributed amplitude. The proper extension to anharmonic chains is explained and tested throu","authors_text":"Christian B. Mendl, Herbert Spohn","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-14T09:03:28Z","title":"Shocks, rarefaction waves, and current fluctuations for anharmonic chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05205","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":"sha256:616d205b069d0195a903914e8eacc1c6b83750ea3d305e08bf15f99e5341c2e1","target":"record","created_at":"2026-05-18T01:03:05Z","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":"55d87f73ffe5b0b3fd8494c755d8a420f89702748d2234e0fdf67b05a5ee5ad4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-07-14T09:03:28Z","title_canon_sha256":"329ce30d68d887c43134b4d8bf51658aa7231a8c903a6790f314e5dfe8f50d96"},"schema_version":"1.0","source":{"id":"1607.05205","kind":"arxiv","version":1}},"canonical_sha256":"8d69568fa630b563173c665f23e503aa6b97466a7541e09b5364c3cef5498f2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d69568fa630b563173c665f23e503aa6b97466a7541e09b5364c3cef5498f2d","first_computed_at":"2026-05-18T01:03:05.830840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:05.830840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ywxxc1fzCBNSyoXv4Q5dRUMkZM8IQHKbLuOhBn7QNN4b7UzdggwjaMwjMXqQxzQVmJ+SXnr+zFlPPfH45OMsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:05.831442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.05205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:616d205b069d0195a903914e8eacc1c6b83750ea3d305e08bf15f99e5341c2e1","sha256:2a46b7872249cba7332de188363cdd9c138f80d82cce387f132412d19c4f2bbb"],"state_sha256":"b993c0ec2be742a44a98146c3ccfd0f569aecfe06bae6d95a4204857a0a0ffde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tr34APlrVwLhxbK/1XL7eXyYnStG+DoJkYacwXSQFeqo81dOHVMovsD3lZoZWxF25UUjd18vLk3Yjxku+DBOAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T23:19:48.734721Z","bundle_sha256":"c0f70ca36d0b9b78c4564ca23c9a26667aadf3347f33d502c6ab8d43bafe568d"}}