{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EOC7OCKCXUD444CAEFJ5PBCXK6","short_pith_number":"pith:EOC7OCKC","canonical_record":{"source":{"id":"1310.3442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-13T01:53:26Z","cross_cats_sorted":["math.MP","physics.chem-ph"],"title_canon_sha256":"f6cf6f6ce3e647b44ef44ba4f719d8646e53c9a713d8fdcad11e04a5eebdb129","abstract_canon_sha256":"ba3a6c09f2dd7986dc19debf45fae71a0555a1c042cfabe116ec0ccf25b4cf46"},"schema_version":"1.0"},"canonical_sha256":"2385f70942bd07ce70402153d7845757a34668474e803c72820f0da0a9fc95af","source":{"kind":"arxiv","id":"1310.3442","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3442","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3442v1","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3442","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"EOC7OCKCXUD4","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EOC7OCKCXUD444CA","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EOC7OCKC","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EOC7OCKCXUD444CAEFJ5PBCXK6","target":"record","payload":{"canonical_record":{"source":{"id":"1310.3442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-13T01:53:26Z","cross_cats_sorted":["math.MP","physics.chem-ph"],"title_canon_sha256":"f6cf6f6ce3e647b44ef44ba4f719d8646e53c9a713d8fdcad11e04a5eebdb129","abstract_canon_sha256":"ba3a6c09f2dd7986dc19debf45fae71a0555a1c042cfabe116ec0ccf25b4cf46"},"schema_version":"1.0"},"canonical_sha256":"2385f70942bd07ce70402153d7845757a34668474e803c72820f0da0a9fc95af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:35.730124Z","signature_b64":"XHSUu00WKC7e1raonlD/9yYGq9lKdJYhNAGQIbm2F2pBWEZfg8vudlbVTgVU0ivdAKoXcI8BW5HQ6TLw676eAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2385f70942bd07ce70402153d7845757a34668474e803c72820f0da0a9fc95af","last_reissued_at":"2026-05-18T03:10:35.729497Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:35.729497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.3442","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":"2026-05-18T03:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"II5uEQkYM2xztBSUI4j0UEmeVLxr5BAlo/rB1nW5s3VNBc1ybnST0yXfoO+POgCgvKO9ZYeaOYRus1I1TCQlAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:19:32.911474Z"},"content_sha256":"509eba296f91f700ef98eb9a294e4710121238f348cf7ed554b6357fb9fc327d","schema_version":"1.0","event_id":"sha256:509eba296f91f700ef98eb9a294e4710121238f348cf7ed554b6357fb9fc327d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EOC7OCKCXUD444CAEFJ5PBCXK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Iterative approach to the characteristic time for chemical reactions of type A + B ! C + D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.chem-ph"],"primary_cat":"math-ph","authors_text":"R. Aldrovandi","submitted_at":"2013-10-13T01:53:26Z","abstract_excerpt":"The analytic solution for the kinetic description of binary reactions can be seen as the continuum version of a basic discrete iterate mapping. This fact allows a clear definition of the reaction characteristic time which takes the backward effect into account."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3442","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":"2026-05-18T03:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2WRURzdExwiyjt8sZ29EfbwxwkNHa15p92ZL/bpQ2nRj991uw3NMrwiGbS2E3sN3uChHkogQ0KBdfBso6CuiBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:19:32.912443Z"},"content_sha256":"9d4dd930eadc528dc30eae5f7cb5d87bbbcc3f4b0d9f74e29a3e023848424c63","schema_version":"1.0","event_id":"sha256:9d4dd930eadc528dc30eae5f7cb5d87bbbcc3f4b0d9f74e29a3e023848424c63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EOC7OCKCXUD444CAEFJ5PBCXK6/bundle.json","state_url":"https://pith.science/pith/EOC7OCKCXUD444CAEFJ5PBCXK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EOC7OCKCXUD444CAEFJ5PBCXK6/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":"2026-05-30T12:19:32Z","links":{"resolver":"https://pith.science/pith/EOC7OCKCXUD444CAEFJ5PBCXK6","bundle":"https://pith.science/pith/EOC7OCKCXUD444CAEFJ5PBCXK6/bundle.json","state":"https://pith.science/pith/EOC7OCKCXUD444CAEFJ5PBCXK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EOC7OCKCXUD444CAEFJ5PBCXK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EOC7OCKCXUD444CAEFJ5PBCXK6","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":"ba3a6c09f2dd7986dc19debf45fae71a0555a1c042cfabe116ec0ccf25b4cf46","cross_cats_sorted":["math.MP","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-13T01:53:26Z","title_canon_sha256":"f6cf6f6ce3e647b44ef44ba4f719d8646e53c9a713d8fdcad11e04a5eebdb129"},"schema_version":"1.0","source":{"id":"1310.3442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.3442","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"1310.3442v1","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3442","created_at":"2026-05-18T03:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"EOC7OCKCXUD4","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EOC7OCKCXUD444CA","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EOC7OCKC","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:9d4dd930eadc528dc30eae5f7cb5d87bbbcc3f4b0d9f74e29a3e023848424c63","target":"graph","created_at":"2026-05-18T03:10:35Z","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 analytic solution for the kinetic description of binary reactions can be seen as the continuum version of a basic discrete iterate mapping. This fact allows a clear definition of the reaction characteristic time which takes the backward effect into account.","authors_text":"R. Aldrovandi","cross_cats":["math.MP","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-13T01:53:26Z","title":"Iterative approach to the characteristic time for chemical reactions of type A + B ! C + D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3442","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":"sha256:509eba296f91f700ef98eb9a294e4710121238f348cf7ed554b6357fb9fc327d","target":"record","created_at":"2026-05-18T03:10:35Z","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":"ba3a6c09f2dd7986dc19debf45fae71a0555a1c042cfabe116ec0ccf25b4cf46","cross_cats_sorted":["math.MP","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-10-13T01:53:26Z","title_canon_sha256":"f6cf6f6ce3e647b44ef44ba4f719d8646e53c9a713d8fdcad11e04a5eebdb129"},"schema_version":"1.0","source":{"id":"1310.3442","kind":"arxiv","version":1}},"canonical_sha256":"2385f70942bd07ce70402153d7845757a34668474e803c72820f0da0a9fc95af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2385f70942bd07ce70402153d7845757a34668474e803c72820f0da0a9fc95af","first_computed_at":"2026-05-18T03:10:35.729497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:35.729497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XHSUu00WKC7e1raonlD/9yYGq9lKdJYhNAGQIbm2F2pBWEZfg8vudlbVTgVU0ivdAKoXcI8BW5HQ6TLw676eAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:35.730124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.3442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:509eba296f91f700ef98eb9a294e4710121238f348cf7ed554b6357fb9fc327d","sha256:9d4dd930eadc528dc30eae5f7cb5d87bbbcc3f4b0d9f74e29a3e023848424c63"],"state_sha256":"f0bb72dc7576b92b07d03084299e79e1ab79c45b6da93f9bbbc694958a747460"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3sgMwI+bCB0yPelskEnz/iPnk62yl9Apz1HUdNiAhHxFfmhYYjSZ8klIKtxxKpJSLFWTuiZc/nUs05O9IZN6AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:19:32.917935Z","bundle_sha256":"4914699a8ad100ad28cd097974e843f0dbd439ed41a031ecefbc2c8d68729b39"}}