{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ABT6OJ7XR2YIEHOM5Z2PDZEJYS","short_pith_number":"pith:ABT6OJ7X","canonical_record":{"source":{"id":"1308.3048","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-08-14T06:53:47Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"2050c16af909bcacd3642988bde3ae731bb8e5d5994cd8576f425826b0d0b5d7","abstract_canon_sha256":"b6b3126173c88591296c4ffe859918d024e90b8099ce3f9a9e6f2fbc29250b85"},"schema_version":"1.0"},"canonical_sha256":"0067e727f78eb0821dccee74f1e489c49c2dd7097bc23360b14a16b1e0a086fe","source":{"kind":"arxiv","id":"1308.3048","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3048","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3048v2","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3048","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"ABT6OJ7XR2YI","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ABT6OJ7XR2YIEHOM","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ABT6OJ7X","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ABT6OJ7XR2YIEHOM5Z2PDZEJYS","target":"record","payload":{"canonical_record":{"source":{"id":"1308.3048","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-08-14T06:53:47Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"2050c16af909bcacd3642988bde3ae731bb8e5d5994cd8576f425826b0d0b5d7","abstract_canon_sha256":"b6b3126173c88591296c4ffe859918d024e90b8099ce3f9a9e6f2fbc29250b85"},"schema_version":"1.0"},"canonical_sha256":"0067e727f78eb0821dccee74f1e489c49c2dd7097bc23360b14a16b1e0a086fe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:22.858910Z","signature_b64":"LmcBBeEStyPNyY/56OuW/+sRAqdM5vkFGVDWUiyijk2qaMLyNL0azTEOH8UKyHyOqwYymT3lFmHVQV/gn9yLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0067e727f78eb0821dccee74f1e489c49c2dd7097bc23360b14a16b1e0a086fe","last_reissued_at":"2026-05-18T03:07:22.857957Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:22.857957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.3048","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gucu1ShIAW2aDdq5sa0JNm+V9weqW91hU07hDRVuK6oqzRBLDsIcasH6mauCY5ExJCM5/cPIdiw8h6pzYGOzBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:15:00.924694Z"},"content_sha256":"3a60e33e64dbfd9c390ab5f5ad6d0fb995e561599f96980ebb6f2d168afb36c7","schema_version":"1.0","event_id":"sha256:3a60e33e64dbfd9c390ab5f5ad6d0fb995e561599f96980ebb6f2d168afb36c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ABT6OJ7XR2YIEHOM5Z2PDZEJYS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reactivity Boundaries to Separate the Fate of a Chemical Reaction Associated with Multiple Saddles","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"physics.chem-ph","authors_text":"Chun-Biu Li, Hiroshi Teramoto, Shinnosuke Kawai, Tamiki Komatsuzaki, Yutaka Nagahata","submitted_at":"2013-08-14T06:53:47Z","abstract_excerpt":"Reactivity boundaries that divide the origin and destination of trajectories are crucial of importance to reveal the mechanism of reactions, which was recently found to exist robustly even at high energies for index-one saddles [Phys. Rev. Lett. 105, 048304 (2010)]. Here we revisit the concept of the reactivity boundary and propose a more general definition that can involve a single reaction associated with a bottleneck made up of higher index saddles and/or several saddle points with different indices, where the normal form theory, based on expansion around a single stationary point, does not"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3048","kind":"arxiv","version":2},"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":"2026-05-18T03:07:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EYzgfsPhd0gNzS/4RJWrP3h+fiwqnVWBGtZ3dj3Hc6bwkyLwK64mHleg4t6nGFx8CHiRDiT/mpih0vutbt5gCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:15:00.925285Z"},"content_sha256":"688493ffa238daf6904e1a4b054fd01909c2e127b9ffa71c6a834342c18da6f9","schema_version":"1.0","event_id":"sha256:688493ffa238daf6904e1a4b054fd01909c2e127b9ffa71c6a834342c18da6f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABT6OJ7XR2YIEHOM5Z2PDZEJYS/bundle.json","state_url":"https://pith.science/pith/ABT6OJ7XR2YIEHOM5Z2PDZEJYS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABT6OJ7XR2YIEHOM5Z2PDZEJYS/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":"2026-06-11T23:15:00Z","links":{"resolver":"https://pith.science/pith/ABT6OJ7XR2YIEHOM5Z2PDZEJYS","bundle":"https://pith.science/pith/ABT6OJ7XR2YIEHOM5Z2PDZEJYS/bundle.json","state":"https://pith.science/pith/ABT6OJ7XR2YIEHOM5Z2PDZEJYS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABT6OJ7XR2YIEHOM5Z2PDZEJYS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ABT6OJ7XR2YIEHOM5Z2PDZEJYS","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":"b6b3126173c88591296c4ffe859918d024e90b8099ce3f9a9e6f2fbc29250b85","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-08-14T06:53:47Z","title_canon_sha256":"2050c16af909bcacd3642988bde3ae731bb8e5d5994cd8576f425826b0d0b5d7"},"schema_version":"1.0","source":{"id":"1308.3048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3048","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3048v2","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3048","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"ABT6OJ7XR2YI","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ABT6OJ7XR2YIEHOM","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ABT6OJ7X","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:688493ffa238daf6904e1a4b054fd01909c2e127b9ffa71c6a834342c18da6f9","target":"graph","created_at":"2026-05-18T03:07:22Z","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":"Reactivity boundaries that divide the origin and destination of trajectories are crucial of importance to reveal the mechanism of reactions, which was recently found to exist robustly even at high energies for index-one saddles [Phys. Rev. Lett. 105, 048304 (2010)]. Here we revisit the concept of the reactivity boundary and propose a more general definition that can involve a single reaction associated with a bottleneck made up of higher index saddles and/or several saddle points with different indices, where the normal form theory, based on expansion around a single stationary point, does not","authors_text":"Chun-Biu Li, Hiroshi Teramoto, Shinnosuke Kawai, Tamiki Komatsuzaki, Yutaka Nagahata","cross_cats":["cond-mat.stat-mech","nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-08-14T06:53:47Z","title":"Reactivity Boundaries to Separate the Fate of a Chemical Reaction Associated with Multiple Saddles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3048","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":"sha256:3a60e33e64dbfd9c390ab5f5ad6d0fb995e561599f96980ebb6f2d168afb36c7","target":"record","created_at":"2026-05-18T03:07:22Z","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":"b6b3126173c88591296c4ffe859918d024e90b8099ce3f9a9e6f2fbc29250b85","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"physics.chem-ph","submitted_at":"2013-08-14T06:53:47Z","title_canon_sha256":"2050c16af909bcacd3642988bde3ae731bb8e5d5994cd8576f425826b0d0b5d7"},"schema_version":"1.0","source":{"id":"1308.3048","kind":"arxiv","version":2}},"canonical_sha256":"0067e727f78eb0821dccee74f1e489c49c2dd7097bc23360b14a16b1e0a086fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0067e727f78eb0821dccee74f1e489c49c2dd7097bc23360b14a16b1e0a086fe","first_computed_at":"2026-05-18T03:07:22.857957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:22.857957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LmcBBeEStyPNyY/56OuW/+sRAqdM5vkFGVDWUiyijk2qaMLyNL0azTEOH8UKyHyOqwYymT3lFmHVQV/gn9yLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:22.858910Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a60e33e64dbfd9c390ab5f5ad6d0fb995e561599f96980ebb6f2d168afb36c7","sha256:688493ffa238daf6904e1a4b054fd01909c2e127b9ffa71c6a834342c18da6f9"],"state_sha256":"735afc38b6b16ab2c3fb5458fc9f97a4e515da3652e3c2e80a0a6b64e4680fc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vopcQHhzUAwCug+Cpxg2uoaxvm1M0n9PpnqYluxEhkELWfOhLxYC9mu+Bu1IoOMg0XgErnMhGScKQxCHiMVeCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:15:00.928680Z","bundle_sha256":"95fbfaece86f760b32f90fa48fb27c4faab95a00827afb09bd400e1c35cb6661"}}