{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YPD6ERHON3HUTZYJ5DB7WVO3VM","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":"bad7ca575da4b00f08c52954971ddefe0453765891b0890421aca59b37d77643","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-28T23:50:15Z","title_canon_sha256":"5b5c0c1550e32cdbd212d886c1d0f28d14fa07c1c1dfefeddb2beede19fedf46"},"schema_version":"1.0","source":{"id":"1711.11437","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.11437","created_at":"2026-05-18T00:19:24Z"},{"alias_kind":"arxiv_version","alias_value":"1711.11437v1","created_at":"2026-05-18T00:19:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.11437","created_at":"2026-05-18T00:19:24Z"},{"alias_kind":"pith_short_12","alias_value":"YPD6ERHON3HU","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YPD6ERHON3HUTZYJ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YPD6ERHO","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:304993a025a6156c09c0a20c38080f8e6077191ceb8eb210024910bc19a91f96","target":"graph","created_at":"2026-05-18T00:19:24Z","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 symplectic analysis for the four dimensional Pontryagin and Euler invariants is performed within the Faddeev-Jackiw context. The Faddeev-Jackiw constraints and the generalized Faddeev-Jackiw brackets are reported; we show that in spite of the Pontryagin and Euler classes give rise the same equations of motion, its respective symplectic structures are different to each other. In addition, a quantum state that solves the Faddeev-Jackiw constraints is found, and we show that the quantum states for these invariants are different to each other. Finally, we present some remarks and conclusions.","authors_text":"Alberto Escalante, Carlos Medel-Portugal (Puebla U., Inst. Fis.)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-28T23:50:15Z","title":"Faddeev-Jackiw quantization of topological invariants: Euler and Pontryagin classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.11437","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":"sha256:2bd8c0588008429d57c549cdb12ad78a92df8e44c98463b87d3286afe4b460fd","target":"record","created_at":"2026-05-18T00:19:24Z","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":"bad7ca575da4b00f08c52954971ddefe0453765891b0890421aca59b37d77643","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-11-28T23:50:15Z","title_canon_sha256":"5b5c0c1550e32cdbd212d886c1d0f28d14fa07c1c1dfefeddb2beede19fedf46"},"schema_version":"1.0","source":{"id":"1711.11437","kind":"arxiv","version":1}},"canonical_sha256":"c3c7e244ee6ecf49e709e8c3fb55dbab0257beabfd41390d69d037af15d04f4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3c7e244ee6ecf49e709e8c3fb55dbab0257beabfd41390d69d037af15d04f4b","first_computed_at":"2026-05-18T00:19:24.866467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:24.866467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PrVF2wU4dc5H1Ff3w7SvskszJNW1x3scEXZSXPK0rManEgHu0DH80cs5V8IVjok/lo0HcZLqbiMla93+5bDVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:24.866909Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.11437","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bd8c0588008429d57c549cdb12ad78a92df8e44c98463b87d3286afe4b460fd","sha256:304993a025a6156c09c0a20c38080f8e6077191ceb8eb210024910bc19a91f96"],"state_sha256":"78c3f6e67475c43b134ada5ad9f9734d80e8975cae7e29359b867d5abb30de94"}