{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4NQOD5FWJSX67MIFA7L5ODVYQT","short_pith_number":"pith:4NQOD5FW","canonical_record":{"source":{"id":"1405.2030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-08T17:46:49Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7434a48649e68893e1e23ec60793d76aff1b25ebb1fc739dbad44d77f9136130","abstract_canon_sha256":"836fd1f87b86d347a73a2f8edfddf1f8ca914ddbf01100c782ff9aedc0201be0"},"schema_version":"1.0"},"canonical_sha256":"e360e1f4b64cafefb10507d7d70eb884d850e3bc5f7be512fc7b1d48cf977a9f","source":{"kind":"arxiv","id":"1405.2030","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2030","created_at":"2026-05-18T01:43:16Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2030v1","created_at":"2026-05-18T01:43:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2030","created_at":"2026-05-18T01:43:16Z"},{"alias_kind":"pith_short_12","alias_value":"4NQOD5FWJSX6","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4NQOD5FWJSX67MIF","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4NQOD5FW","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4NQOD5FWJSX67MIFA7L5ODVYQT","target":"record","payload":{"canonical_record":{"source":{"id":"1405.2030","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-08T17:46:49Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7434a48649e68893e1e23ec60793d76aff1b25ebb1fc739dbad44d77f9136130","abstract_canon_sha256":"836fd1f87b86d347a73a2f8edfddf1f8ca914ddbf01100c782ff9aedc0201be0"},"schema_version":"1.0"},"canonical_sha256":"e360e1f4b64cafefb10507d7d70eb884d850e3bc5f7be512fc7b1d48cf977a9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:16.095802Z","signature_b64":"xp0UxFtmUVZiHyJZTGm0BndsH2xOJ+22vrWQUoIG7SThsg185tBmcgYNWxrZ1pjw0BUTVqZXKkz617VPCfG3Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e360e1f4b64cafefb10507d7d70eb884d850e3bc5f7be512fc7b1d48cf977a9f","last_reissued_at":"2026-05-18T01:43:16.095057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:16.095057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.2030","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":"2026-05-18T01:43:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dEJVS1q0v0ZpSNhcTbKKgOETX2sUW0B1e6/rkx07z1ysA0sUgXplR8riTi6dVBIZpfIxuloLYuRWHq0B3BlxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:09:38.721726Z"},"content_sha256":"d82773b734bbc22afae8387589cf57748daa66efbe974e7a17efd09c27129849","schema_version":"1.0","event_id":"sha256:d82773b734bbc22afae8387589cf57748daa66efbe974e7a17efd09c27129849"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4NQOD5FWJSX67MIFA7L5ODVYQT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of a bouncer model: a simplified one-dimensional gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Andr\\'e L. P. Livorati, Edson D. Leonel","submitted_at":"2014-05-08T17:46:49Z","abstract_excerpt":"Some dynamical properties of non interacting particles in a bouncer model are described. They move under gravity experiencing collisions with a moving platform. The evolution to steady state is described in two cases for dissipative dynamics with inelastic collisions: (i) for large initial energy; (ii) for low initial energy. For (i) we prove an exponential decay while for (ii) a power law marked by a changeover to the steady state is observed. A relation for collisions and time is obtained and allows us to write relevant observables as temperature and entropy as function of either number of c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2030","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":"2026-05-18T01:43:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qhGEw8+dt9KAKxI19kcDD6nkDKeG/YGszdBHzQ9+0P0JQq0bn58RhUJJHtTgPw+MNsOmh3MFgLMgUanscrZ3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:09:38.722070Z"},"content_sha256":"83d5116c767a1385661e29d22f91d42817e749f70fa5890972294773fd539740","schema_version":"1.0","event_id":"sha256:83d5116c767a1385661e29d22f91d42817e749f70fa5890972294773fd539740"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4NQOD5FWJSX67MIFA7L5ODVYQT/bundle.json","state_url":"https://pith.science/pith/4NQOD5FWJSX67MIFA7L5ODVYQT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4NQOD5FWJSX67MIFA7L5ODVYQT/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":"2026-05-28T12:09:38Z","links":{"resolver":"https://pith.science/pith/4NQOD5FWJSX67MIFA7L5ODVYQT","bundle":"https://pith.science/pith/4NQOD5FWJSX67MIFA7L5ODVYQT/bundle.json","state":"https://pith.science/pith/4NQOD5FWJSX67MIFA7L5ODVYQT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4NQOD5FWJSX67MIFA7L5ODVYQT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4NQOD5FWJSX67MIFA7L5ODVYQT","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":"836fd1f87b86d347a73a2f8edfddf1f8ca914ddbf01100c782ff9aedc0201be0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-08T17:46:49Z","title_canon_sha256":"7434a48649e68893e1e23ec60793d76aff1b25ebb1fc739dbad44d77f9136130"},"schema_version":"1.0","source":{"id":"1405.2030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2030","created_at":"2026-05-18T01:43:16Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2030v1","created_at":"2026-05-18T01:43:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2030","created_at":"2026-05-18T01:43:16Z"},{"alias_kind":"pith_short_12","alias_value":"4NQOD5FWJSX6","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4NQOD5FWJSX67MIF","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4NQOD5FW","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:83d5116c767a1385661e29d22f91d42817e749f70fa5890972294773fd539740","target":"graph","created_at":"2026-05-18T01:43:16Z","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":"Some dynamical properties of non interacting particles in a bouncer model are described. They move under gravity experiencing collisions with a moving platform. The evolution to steady state is described in two cases for dissipative dynamics with inelastic collisions: (i) for large initial energy; (ii) for low initial energy. For (i) we prove an exponential decay while for (ii) a power law marked by a changeover to the steady state is observed. A relation for collisions and time is obtained and allows us to write relevant observables as temperature and entropy as function of either number of c","authors_text":"Andr\\'e L. P. Livorati, Edson D. Leonel","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-08T17:46:49Z","title":"Thermodynamics of a bouncer model: a simplified one-dimensional gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2030","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:d82773b734bbc22afae8387589cf57748daa66efbe974e7a17efd09c27129849","target":"record","created_at":"2026-05-18T01:43:16Z","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":"836fd1f87b86d347a73a2f8edfddf1f8ca914ddbf01100c782ff9aedc0201be0","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-08T17:46:49Z","title_canon_sha256":"7434a48649e68893e1e23ec60793d76aff1b25ebb1fc739dbad44d77f9136130"},"schema_version":"1.0","source":{"id":"1405.2030","kind":"arxiv","version":1}},"canonical_sha256":"e360e1f4b64cafefb10507d7d70eb884d850e3bc5f7be512fc7b1d48cf977a9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e360e1f4b64cafefb10507d7d70eb884d850e3bc5f7be512fc7b1d48cf977a9f","first_computed_at":"2026-05-18T01:43:16.095057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:16.095057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xp0UxFtmUVZiHyJZTGm0BndsH2xOJ+22vrWQUoIG7SThsg185tBmcgYNWxrZ1pjw0BUTVqZXKkz617VPCfG3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:16.095802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d82773b734bbc22afae8387589cf57748daa66efbe974e7a17efd09c27129849","sha256:83d5116c767a1385661e29d22f91d42817e749f70fa5890972294773fd539740"],"state_sha256":"5d850f50c5cd32bc25c5518f337359a4717db0b0e7b26a9add5bc2a0eee97965"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cx7CsATj7WyDZZ6pQdSACirihPE13rXdokKPDtkhjrTxvn7NxrngyjZXjL1eHU5CT8MfPx7Q54Ja7M6s+nVUAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:09:38.724042Z","bundle_sha256":"4f9b782c135ca76529bc39de574da506e3a5318c7c14cf690c756fb26973e3f6"}}