{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:I677EP3YFUMOT5IBRCOMFFXSMG","short_pith_number":"pith:I677EP3Y","canonical_record":{"source":{"id":"1710.02689","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-10-07T14:23:54Z","cross_cats_sorted":["math-ph","math.CV","math.MP"],"title_canon_sha256":"1c3315515896b47bd92cedd1156166102254eee99b2820b11573c2ead96598b8","abstract_canon_sha256":"93ca917d41658fe30a56f5c9204d2e85de02ffcdad766d275a6356a657d486ab"},"schema_version":"1.0"},"canonical_sha256":"47bff23f782d18e9f501889cc296f2619324022c85fba243658d003ed48758d7","source":{"kind":"arxiv","id":"1710.02689","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02689","created_at":"2026-05-18T00:33:29Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02689v1","created_at":"2026-05-18T00:33:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02689","created_at":"2026-05-18T00:33:29Z"},{"alias_kind":"pith_short_12","alias_value":"I677EP3YFUMO","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I677EP3YFUMOT5IB","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I677EP3Y","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:I677EP3YFUMOT5IBRCOMFFXSMG","target":"record","payload":{"canonical_record":{"source":{"id":"1710.02689","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-10-07T14:23:54Z","cross_cats_sorted":["math-ph","math.CV","math.MP"],"title_canon_sha256":"1c3315515896b47bd92cedd1156166102254eee99b2820b11573c2ead96598b8","abstract_canon_sha256":"93ca917d41658fe30a56f5c9204d2e85de02ffcdad766d275a6356a657d486ab"},"schema_version":"1.0"},"canonical_sha256":"47bff23f782d18e9f501889cc296f2619324022c85fba243658d003ed48758d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:29.136434Z","signature_b64":"a5ISFe5jVhvhsuf2oUNFRRV2iujFnoS8DAEAuUv2Pw4YiTkJIIgHFWu8Zmt7Xq3vJgBAq/ZLFYhNkB3ZcoCtCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47bff23f782d18e9f501889cc296f2619324022c85fba243658d003ed48758d7","last_reissued_at":"2026-05-18T00:33:29.135948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:29.135948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.02689","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":"2026-05-18T00:33:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ccMqwZomOQEejEADopJkv6e/JPInwomwT7VRSkL9r7uHvwcT3RX1P6S1akEhClHAKAjszamEaUr3V6l9oIXFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:03:06.849062Z"},"content_sha256":"f51b1f3c91b96ebc11506ec3ff8e5b8e44abc46516cc13ca7ed3449b6416a90e","schema_version":"1.0","event_id":"sha256:f51b1f3c91b96ebc11506ec3ff8e5b8e44abc46516cc13ca7ed3449b6416a90e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:I677EP3YFUMOT5IBRCOMFFXSMG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Normal Form without small divisors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CV","math.MP"],"primary_cat":"math.DS","authors_text":"Gabriella Pinzari","submitted_at":"2017-10-07T14:23:54Z","abstract_excerpt":"Following the techniques of [4], we formulate a Normal Form Lemma suited to close to be integrable Hamiltonian systems where not all the coordinates are action angles. The Lemma turns to be useful in the theory of KAM tori of Sun-Earth-Asteroids systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02689","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":"2026-05-18T00:33:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LIMoTvaFtKkvytSHf1xKouPJVVyBfVMATjw6DvWwaKR1iijtnYbX9+HLu7wxXhzfO8jjuhDb14yem4U1NT7+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:03:06.849418Z"},"content_sha256":"7cb492c9e5c08bc40c0921b75ea4ab0116255ad6d35e96071a32e6b1c6af1e3a","schema_version":"1.0","event_id":"sha256:7cb492c9e5c08bc40c0921b75ea4ab0116255ad6d35e96071a32e6b1c6af1e3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I677EP3YFUMOT5IBRCOMFFXSMG/bundle.json","state_url":"https://pith.science/pith/I677EP3YFUMOT5IBRCOMFFXSMG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I677EP3YFUMOT5IBRCOMFFXSMG/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":"2026-06-27T14:03:06Z","links":{"resolver":"https://pith.science/pith/I677EP3YFUMOT5IBRCOMFFXSMG","bundle":"https://pith.science/pith/I677EP3YFUMOT5IBRCOMFFXSMG/bundle.json","state":"https://pith.science/pith/I677EP3YFUMOT5IBRCOMFFXSMG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I677EP3YFUMOT5IBRCOMFFXSMG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:I677EP3YFUMOT5IBRCOMFFXSMG","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":"93ca917d41658fe30a56f5c9204d2e85de02ffcdad766d275a6356a657d486ab","cross_cats_sorted":["math-ph","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-10-07T14:23:54Z","title_canon_sha256":"1c3315515896b47bd92cedd1156166102254eee99b2820b11573c2ead96598b8"},"schema_version":"1.0","source":{"id":"1710.02689","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02689","created_at":"2026-05-18T00:33:29Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02689v1","created_at":"2026-05-18T00:33:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02689","created_at":"2026-05-18T00:33:29Z"},{"alias_kind":"pith_short_12","alias_value":"I677EP3YFUMO","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I677EP3YFUMOT5IB","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I677EP3Y","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:7cb492c9e5c08bc40c0921b75ea4ab0116255ad6d35e96071a32e6b1c6af1e3a","target":"graph","created_at":"2026-05-18T00:33:29Z","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":"Following the techniques of [4], we formulate a Normal Form Lemma suited to close to be integrable Hamiltonian systems where not all the coordinates are action angles. The Lemma turns to be useful in the theory of KAM tori of Sun-Earth-Asteroids systems.","authors_text":"Gabriella Pinzari","cross_cats":["math-ph","math.CV","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-10-07T14:23:54Z","title":"A Normal Form without small divisors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02689","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:f51b1f3c91b96ebc11506ec3ff8e5b8e44abc46516cc13ca7ed3449b6416a90e","target":"record","created_at":"2026-05-18T00:33:29Z","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":"93ca917d41658fe30a56f5c9204d2e85de02ffcdad766d275a6356a657d486ab","cross_cats_sorted":["math-ph","math.CV","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-10-07T14:23:54Z","title_canon_sha256":"1c3315515896b47bd92cedd1156166102254eee99b2820b11573c2ead96598b8"},"schema_version":"1.0","source":{"id":"1710.02689","kind":"arxiv","version":1}},"canonical_sha256":"47bff23f782d18e9f501889cc296f2619324022c85fba243658d003ed48758d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47bff23f782d18e9f501889cc296f2619324022c85fba243658d003ed48758d7","first_computed_at":"2026-05-18T00:33:29.135948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:29.135948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a5ISFe5jVhvhsuf2oUNFRRV2iujFnoS8DAEAuUv2Pw4YiTkJIIgHFWu8Zmt7Xq3vJgBAq/ZLFYhNkB3ZcoCtCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:29.136434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02689","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f51b1f3c91b96ebc11506ec3ff8e5b8e44abc46516cc13ca7ed3449b6416a90e","sha256:7cb492c9e5c08bc40c0921b75ea4ab0116255ad6d35e96071a32e6b1c6af1e3a"],"state_sha256":"b3e08baf77b8b81266d61d269f0d2185dc4c337cd818a2fc77241f16a0d0ebbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"65cJTuINWJ9bZeW4oVzt4AVO6zudwHx8QsqoGeejpCmVYtEPU+xjbmUYYCLmEE670/ssRHk1LCV5pCLit9/tAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T14:03:06.851371Z","bundle_sha256":"52e7676dffb46f58405e5776eb76a765da8b7158f72d9a8ef272b874d37b2b81"}}