{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NBORQD2ZAKYNUDUHW6X5NJQ3PN","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":"e541183f812c8993fa084065584f7c14bf2546736342fa60ffdd517ee5a351c6","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-22T15:53:55Z","title_canon_sha256":"a56cbd91617c6ac209f646f577ab76997c4598789d297879a4158356910e3614"},"schema_version":"1.0","source":{"id":"1405.5803","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.5803","created_at":"2026-05-18T01:43:09Z"},{"alias_kind":"arxiv_version","alias_value":"1405.5803v2","created_at":"2026-05-18T01:43:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.5803","created_at":"2026-05-18T01:43:09Z"},{"alias_kind":"pith_short_12","alias_value":"NBORQD2ZAKYN","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NBORQD2ZAKYNUDUH","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NBORQD2Z","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:922a9678866447dec3c31e72f8d68ab5aec9cc33c6f6fe29754d54447d63c6ec","target":"graph","created_at":"2026-05-18T01:43:09Z","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 1D Hamilton systems with homogeneous power law potential and their statistical behaviour, assuming the microcanonical distribution of the initial conditions and describing its change under monotonically increasing time-dependent function $a(t)$ (prefactor of the potential). Using the nonlinear WKB-like method by Papamikos and Robnik {\\em J. Phys. A: Math. Theor. {\\bf 44} (2012) 315102} and following a previous work by Papamikos G and Robnik M {\\em J. Phys. A: Math. Theor. {\\bf 45} (2011) 015206} we specifically analyze the mean energy, the variance and the adiabatic invariant (action)","authors_text":"Dimitris Andresas, Marko Robnik","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-22T15:53:55Z","title":"Statistical properties of the energy in time-dependent homogeneous power law potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.5803","kind":"arxiv","version":2},"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":"sha256:39bc8efc9475c4f80f5616ac66c9f7122b713a20c3463ba0198a824b8920ccea","target":"record","created_at":"2026-05-18T01:43:09Z","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":"e541183f812c8993fa084065584f7c14bf2546736342fa60ffdd517ee5a351c6","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-22T15:53:55Z","title_canon_sha256":"a56cbd91617c6ac209f646f577ab76997c4598789d297879a4158356910e3614"},"schema_version":"1.0","source":{"id":"1405.5803","kind":"arxiv","version":2}},"canonical_sha256":"685d180f5902b0da0e87b7afd6a61b7b7a8e7893c1af399ea9063836df0d9844","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"685d180f5902b0da0e87b7afd6a61b7b7a8e7893c1af399ea9063836df0d9844","first_computed_at":"2026-05-18T01:43:09.188031Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:09.188031Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VymdDftVrRVU/QANdKRPhQt08WWMxgC4YG/ikeMgleQDe6P5O/UiUHwUagVJl795zZ1B8Xd+vCWG8GYxlldHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:09.188804Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.5803","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39bc8efc9475c4f80f5616ac66c9f7122b713a20c3463ba0198a824b8920ccea","sha256:922a9678866447dec3c31e72f8d68ab5aec9cc33c6f6fe29754d54447d63c6ec"],"state_sha256":"1e3afe5ba18f35d1695cd1b84646598b7e291db633bf8dd028c6fd608519d108"}