{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:TNYZGD4ISMCNKTTDOVUMWF6D4W","short_pith_number":"pith:TNYZGD4I","canonical_record":{"source":{"id":"0801.2030","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-01-14T09:36:19Z","cross_cats_sorted":[],"title_canon_sha256":"0f14f30ef7df7d1a3fb01cfbf9736ea0905d770ce182eecc39165192b7049fee","abstract_canon_sha256":"7cf81f666af322ee30636dd5aecd8235b874e1b12c2653c577661e4a9d74a448"},"schema_version":"1.0"},"canonical_sha256":"9b71930f889304d54e637568cb17c3e59c3df79dc7e7a98b394d7cc59d19a2a6","source":{"kind":"arxiv","id":"0801.2030","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2030","created_at":"2026-05-18T04:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2030v2","created_at":"2026-05-18T04:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2030","created_at":"2026-05-18T04:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"TNYZGD4ISMCN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TNYZGD4ISMCNKTTD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TNYZGD4I","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:TNYZGD4ISMCNKTTDOVUMWF6D4W","target":"record","payload":{"canonical_record":{"source":{"id":"0801.2030","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-01-14T09:36:19Z","cross_cats_sorted":[],"title_canon_sha256":"0f14f30ef7df7d1a3fb01cfbf9736ea0905d770ce182eecc39165192b7049fee","abstract_canon_sha256":"7cf81f666af322ee30636dd5aecd8235b874e1b12c2653c577661e4a9d74a448"},"schema_version":"1.0"},"canonical_sha256":"9b71930f889304d54e637568cb17c3e59c3df79dc7e7a98b394d7cc59d19a2a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:17.556896Z","signature_b64":"IJHWo0GfJkny8VI/yV4725bpfaVeFyVWQCX/r83wabENcPeGQQdaJ6xotNBiCJxuWmbZ99lrllW0U+YH8PGJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b71930f889304d54e637568cb17c3e59c3df79dc7e7a98b394d7cc59d19a2a6","last_reissued_at":"2026-05-18T04:38:17.556409Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:17.556409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.2030","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":"2026-05-18T04:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5vYH/wDgaNT5UjJtbwkDQtxIsDYYu3p0DCTThKSGHiCZS6s7myDEdCOJJ2F7aTNOUqjduzT1IRJesKIqSvxYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:41:39.251334Z"},"content_sha256":"9efc1bf4cd971e9e4b5e2ad52535529c3f2d1584f2103a3d289fc72b919abbbc","schema_version":"1.0","event_id":"sha256:9efc1bf4cd971e9e4b5e2ad52535529c3f2d1584f2103a3d289fc72b919abbbc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:TNYZGD4ISMCNKTTDOVUMWF6D4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase-Space Volume of Regions of Trapped Motion: Multiple Ring Components and Arcs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"L. Benet, O. Merlo","submitted_at":"2008-01-14T09:36:19Z","abstract_excerpt":"The phase--space volume of regions of regular or trapped motion, for bounded or scattering systems with two degrees of freedom respectively, displays universal properties. In particular, sudden reductions in the phase-space volume or gaps are observed at specific values of the parameter which tunes the dynamics; these locations are approximated by the stability resonances. The latter are defined by a resonant condition on the stability exponents of a central linearly stable periodic orbit. We show that, for more than two degrees of freedom, these resonances can be excited opening up gaps, whic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2030","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":"2026-05-18T04:38:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i9hJqMx8MxprD2L/T110V6dGYW2sqL+tZuBAlIf/bLBMrk4cT0G4ceOTqdmyR74iZjSu/7BSe/YsamFkA9W/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:41:39.252011Z"},"content_sha256":"8d9b3c84aa833ff3fb0cf2fe2a0c6774e21cf47c44b82c8421e7fdb3422add63","schema_version":"1.0","event_id":"sha256:8d9b3c84aa833ff3fb0cf2fe2a0c6774e21cf47c44b82c8421e7fdb3422add63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TNYZGD4ISMCNKTTDOVUMWF6D4W/bundle.json","state_url":"https://pith.science/pith/TNYZGD4ISMCNKTTDOVUMWF6D4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TNYZGD4ISMCNKTTDOVUMWF6D4W/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":"2026-05-26T03:41:39Z","links":{"resolver":"https://pith.science/pith/TNYZGD4ISMCNKTTDOVUMWF6D4W","bundle":"https://pith.science/pith/TNYZGD4ISMCNKTTDOVUMWF6D4W/bundle.json","state":"https://pith.science/pith/TNYZGD4ISMCNKTTDOVUMWF6D4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TNYZGD4ISMCNKTTDOVUMWF6D4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:TNYZGD4ISMCNKTTDOVUMWF6D4W","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":"7cf81f666af322ee30636dd5aecd8235b874e1b12c2653c577661e4a9d74a448","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-01-14T09:36:19Z","title_canon_sha256":"0f14f30ef7df7d1a3fb01cfbf9736ea0905d770ce182eecc39165192b7049fee"},"schema_version":"1.0","source":{"id":"0801.2030","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2030","created_at":"2026-05-18T04:38:17Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2030v2","created_at":"2026-05-18T04:38:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2030","created_at":"2026-05-18T04:38:17Z"},{"alias_kind":"pith_short_12","alias_value":"TNYZGD4ISMCN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TNYZGD4ISMCNKTTD","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TNYZGD4I","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8d9b3c84aa833ff3fb0cf2fe2a0c6774e21cf47c44b82c8421e7fdb3422add63","target":"graph","created_at":"2026-05-18T04:38:17Z","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 phase--space volume of regions of regular or trapped motion, for bounded or scattering systems with two degrees of freedom respectively, displays universal properties. In particular, sudden reductions in the phase-space volume or gaps are observed at specific values of the parameter which tunes the dynamics; these locations are approximated by the stability resonances. The latter are defined by a resonant condition on the stability exponents of a central linearly stable periodic orbit. We show that, for more than two degrees of freedom, these resonances can be excited opening up gaps, whic","authors_text":"L. Benet, O. Merlo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-01-14T09:36:19Z","title":"Phase-Space Volume of Regions of Trapped Motion: Multiple Ring Components and Arcs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2030","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":"sha256:9efc1bf4cd971e9e4b5e2ad52535529c3f2d1584f2103a3d289fc72b919abbbc","target":"record","created_at":"2026-05-18T04:38:17Z","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":"7cf81f666af322ee30636dd5aecd8235b874e1b12c2653c577661e4a9d74a448","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2008-01-14T09:36:19Z","title_canon_sha256":"0f14f30ef7df7d1a3fb01cfbf9736ea0905d770ce182eecc39165192b7049fee"},"schema_version":"1.0","source":{"id":"0801.2030","kind":"arxiv","version":2}},"canonical_sha256":"9b71930f889304d54e637568cb17c3e59c3df79dc7e7a98b394d7cc59d19a2a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b71930f889304d54e637568cb17c3e59c3df79dc7e7a98b394d7cc59d19a2a6","first_computed_at":"2026-05-18T04:38:17.556409Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:17.556409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IJHWo0GfJkny8VI/yV4725bpfaVeFyVWQCX/r83wabENcPeGQQdaJ6xotNBiCJxuWmbZ99lrllW0U+YH8PGJBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:17.556896Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.2030","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9efc1bf4cd971e9e4b5e2ad52535529c3f2d1584f2103a3d289fc72b919abbbc","sha256:8d9b3c84aa833ff3fb0cf2fe2a0c6774e21cf47c44b82c8421e7fdb3422add63"],"state_sha256":"cf9380190227f9095cbf70ed6373cd795dcf35fd58bc74fd6a95c768261f00fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSLw18TsbMcV+JF8PDWGOOZ9/rvam0fzmg2vr3zQ2lfXoAYYS4mGCcAwV4mOki7+ffQ+9MF/ONilnHOkXIS6BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T03:41:39.255986Z","bundle_sha256":"7fd30cd55f2fa2af2aecef04aaee75a78ec60639d5d1a02c535cbc1adbe2b808"}}