{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7HXGGR5F2CFWZTMQVUO6HTEZLN","short_pith_number":"pith:7HXGGR5F","canonical_record":{"source":{"id":"1310.4926","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-10-18T07:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"4555ab7804c98bc7277b9fff6bb6a3cb053ad291a246996526ebc899ae868d1c","abstract_canon_sha256":"d0ecd7457558edaefb8bbd57aa068e42c71e5d0243d865dc3ce338c888d95520"},"schema_version":"1.0"},"canonical_sha256":"f9ee6347a5d08b6ccd90ad1de3cc995b72ee8cecceb514bbed501bf0f597a48a","source":{"kind":"arxiv","id":"1310.4926","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4926","created_at":"2026-05-18T01:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4926v1","created_at":"2026-05-18T01:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4926","created_at":"2026-05-18T01:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"7HXGGR5F2CFW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7HXGGR5F2CFWZTMQ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7HXGGR5F","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7HXGGR5F2CFWZTMQVUO6HTEZLN","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4926","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-10-18T07:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"4555ab7804c98bc7277b9fff6bb6a3cb053ad291a246996526ebc899ae868d1c","abstract_canon_sha256":"d0ecd7457558edaefb8bbd57aa068e42c71e5d0243d865dc3ce338c888d95520"},"schema_version":"1.0"},"canonical_sha256":"f9ee6347a5d08b6ccd90ad1de3cc995b72ee8cecceb514bbed501bf0f597a48a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:46:58.067145Z","signature_b64":"kvUhogmPwZtXEivikqG4skL82Ah7IPskKTgnbyI08894RyjOZDZ+7iUHTwZG9S8GVZO7HTo860O0BMOru6K4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9ee6347a5d08b6ccd90ad1de3cc995b72ee8cecceb514bbed501bf0f597a48a","last_reissued_at":"2026-05-18T01:46:58.066502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:46:58.066502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4926","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":"2026-05-18T01:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vZ6/U0tb9AcOabY3mZR8H973HOrdho3tZ0ibnnicCQ5lKzqErOWj3b42yqXV0Xq8dXmozjAZxdH+U9GmoAovCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:41:10.607547Z"},"content_sha256":"2eb63f5baa92d5ffb1eae7f9bded2f9611b4098cc3df3b6021bffcc2912e6358","schema_version":"1.0","event_id":"sha256:2eb63f5baa92d5ffb1eae7f9bded2f9611b4098cc3df3b6021bffcc2912e6358"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7HXGGR5F2CFWZTMQVUO6HTEZLN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Abstract Phase-space Networks Describing Reactive Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Provata, E. Panagakou","submitted_at":"2013-10-18T07:00:49Z","abstract_excerpt":"An abstract network approach is proposed for the description of the dynamics in reactive processes. The phase space of the variables (concentrations in reactive systems) is partitioned into a finite number of segments, which constitute the nodes of the abstract network. Transitions between the nodes are dictated by the dynamics of the reactive process and provide the links between the nodes. These are weighted networks, since each link weight reflects the transition rate between the corresponding states-nodes. With this construction the network properties mirror the dynamics of the underlying "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4926","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":"2026-05-18T01:46:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tOoAdURTSiNJ8dFCFEYVdn0tSZBJmiNYIR61raMuVsonY07OVWoaR1HY5PnsGvOU2FnOMC46DCT8EzezZPILAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:41:10.608176Z"},"content_sha256":"4d65e30a699ba4c38c4473648d71a5f291b74d7ca676ab617c9edf242da8d71d","schema_version":"1.0","event_id":"sha256:4d65e30a699ba4c38c4473648d71a5f291b74d7ca676ab617c9edf242da8d71d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HXGGR5F2CFWZTMQVUO6HTEZLN/bundle.json","state_url":"https://pith.science/pith/7HXGGR5F2CFWZTMQVUO6HTEZLN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HXGGR5F2CFWZTMQVUO6HTEZLN/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":"2026-05-30T08:41:10Z","links":{"resolver":"https://pith.science/pith/7HXGGR5F2CFWZTMQVUO6HTEZLN","bundle":"https://pith.science/pith/7HXGGR5F2CFWZTMQVUO6HTEZLN/bundle.json","state":"https://pith.science/pith/7HXGGR5F2CFWZTMQVUO6HTEZLN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HXGGR5F2CFWZTMQVUO6HTEZLN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7HXGGR5F2CFWZTMQVUO6HTEZLN","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":"d0ecd7457558edaefb8bbd57aa068e42c71e5d0243d865dc3ce338c888d95520","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-10-18T07:00:49Z","title_canon_sha256":"4555ab7804c98bc7277b9fff6bb6a3cb053ad291a246996526ebc899ae868d1c"},"schema_version":"1.0","source":{"id":"1310.4926","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4926","created_at":"2026-05-18T01:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4926v1","created_at":"2026-05-18T01:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4926","created_at":"2026-05-18T01:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"7HXGGR5F2CFW","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7HXGGR5F2CFWZTMQ","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7HXGGR5F","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:4d65e30a699ba4c38c4473648d71a5f291b74d7ca676ab617c9edf242da8d71d","target":"graph","created_at":"2026-05-18T01:46:58Z","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":"An abstract network approach is proposed for the description of the dynamics in reactive processes. The phase space of the variables (concentrations in reactive systems) is partitioned into a finite number of segments, which constitute the nodes of the abstract network. Transitions between the nodes are dictated by the dynamics of the reactive process and provide the links between the nodes. These are weighted networks, since each link weight reflects the transition rate between the corresponding states-nodes. With this construction the network properties mirror the dynamics of the underlying ","authors_text":"A. Provata, E. Panagakou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-10-18T07:00:49Z","title":"Abstract Phase-space Networks Describing Reactive Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4926","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":"sha256:2eb63f5baa92d5ffb1eae7f9bded2f9611b4098cc3df3b6021bffcc2912e6358","target":"record","created_at":"2026-05-18T01:46:58Z","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":"d0ecd7457558edaefb8bbd57aa068e42c71e5d0243d865dc3ce338c888d95520","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-10-18T07:00:49Z","title_canon_sha256":"4555ab7804c98bc7277b9fff6bb6a3cb053ad291a246996526ebc899ae868d1c"},"schema_version":"1.0","source":{"id":"1310.4926","kind":"arxiv","version":1}},"canonical_sha256":"f9ee6347a5d08b6ccd90ad1de3cc995b72ee8cecceb514bbed501bf0f597a48a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9ee6347a5d08b6ccd90ad1de3cc995b72ee8cecceb514bbed501bf0f597a48a","first_computed_at":"2026-05-18T01:46:58.066502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:58.066502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kvUhogmPwZtXEivikqG4skL82Ah7IPskKTgnbyI08894RyjOZDZ+7iUHTwZG9S8GVZO7HTo860O0BMOru6K4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:58.067145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4926","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2eb63f5baa92d5ffb1eae7f9bded2f9611b4098cc3df3b6021bffcc2912e6358","sha256:4d65e30a699ba4c38c4473648d71a5f291b74d7ca676ab617c9edf242da8d71d"],"state_sha256":"dc0971aa54cac3f0cacea4110346704241000a0619e78246b483d6a81637d76a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oVnYxu7EZlbxONyd0DU6xIxFzLHI7z7byyfLZviZ53kubaSUk5qDIcd3y/yDYkVOWbQ3srf38b+OK2TdOBxvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:41:10.611166Z","bundle_sha256":"0989ec2f5441bf973f1b7a19461997c80f4dc30369c15c091aac3f7dc58ece17"}}