{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YVH4X2AKQHUCABW6LJOVIWGY3M","short_pith_number":"pith:YVH4X2AK","canonical_record":{"source":{"id":"1107.4023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-20T16:20:09Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"006d849b9a3a533117bdef1ab78dffd53477488e925a3393f96c197250f71b19","abstract_canon_sha256":"564a2d5083821eb7d4c1cf09c6c40852c199c049f228636f4fbc94710a7bfc90"},"schema_version":"1.0"},"canonical_sha256":"c54fcbe80a81e82006de5a5d5458d8db3b0af38e7f80c83a8b980796343c544c","source":{"kind":"arxiv","id":"1107.4023","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4023","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4023v1","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4023","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"YVH4X2AKQHUC","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YVH4X2AKQHUCABW6","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YVH4X2AK","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YVH4X2AKQHUCABW6LJOVIWGY3M","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4023","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-20T16:20:09Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"006d849b9a3a533117bdef1ab78dffd53477488e925a3393f96c197250f71b19","abstract_canon_sha256":"564a2d5083821eb7d4c1cf09c6c40852c199c049f228636f4fbc94710a7bfc90"},"schema_version":"1.0"},"canonical_sha256":"c54fcbe80a81e82006de5a5d5458d8db3b0af38e7f80c83a8b980796343c544c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:30.495768Z","signature_b64":"vVz2uLzmMc5xfSYpjX2XhXs5q+3ikE13GtVOcfuGtatL14xo3TS23bZ0E9YEZvGnfKeT4i4trt+rs9ZA6nhLAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c54fcbe80a81e82006de5a5d5458d8db3b0af38e7f80c83a8b980796343c544c","last_reissued_at":"2026-05-18T04:16:30.495343Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:30.495343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4023","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":"2026-05-18T04:16:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MAyHUPMBztg/gzQlG94j+mdgC3m48Lf/eznJfwfua01FhI9N7vMAWkCAOlgRl2DBJRKSLPWhhV6b2hP/vvWgBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:28:46.002692Z"},"content_sha256":"c900135087e8bcb6cd5fb48cef2edafec87db246bde00084dfb04f2ce85cc021","schema_version":"1.0","event_id":"sha256:c900135087e8bcb6cd5fb48cef2edafec87db246bde00084dfb04f2ce85cc021"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YVH4X2AKQHUCABW6LJOVIWGY3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonian study for Chern-Simons and Pontryagin theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alberto Escalante, Leopoldo Carbajal","submitted_at":"2011-07-20T16:20:09Z","abstract_excerpt":"The Hamiltonian analysis for the Chern-Simons theory and Pontryagin invariant, which depends of a connection valued in the Lie algebra of SO(3,1), is performed. By applying a pure Dirac's method we find for both theories the extended Hamiltonian, the extended action, the constraint algebra, the gauge transformations and we carry out the counting of degrees of freedom. From the results obtained in the present analysis, we will conclude that the theories under study have a closed relation among its constraints and defines a topological field theory. In addition, we extends the configuration spac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4023","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":"2026-05-18T04:16:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OJXdKH6E6nM9GJHW4pctPOeXftXuQ5/S27DlKXhhSwwSNbMQgOJA0CaZ+Wi/Mq9WaP5jXbxPHEORxjGYOepuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T15:28:46.003034Z"},"content_sha256":"1b1e17dcff0ad6ae7721a98eecac6bfa2e21b18db1804096c013833244fdf284","schema_version":"1.0","event_id":"sha256:1b1e17dcff0ad6ae7721a98eecac6bfa2e21b18db1804096c013833244fdf284"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YVH4X2AKQHUCABW6LJOVIWGY3M/bundle.json","state_url":"https://pith.science/pith/YVH4X2AKQHUCABW6LJOVIWGY3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YVH4X2AKQHUCABW6LJOVIWGY3M/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":"2026-06-30T15:28:46Z","links":{"resolver":"https://pith.science/pith/YVH4X2AKQHUCABW6LJOVIWGY3M","bundle":"https://pith.science/pith/YVH4X2AKQHUCABW6LJOVIWGY3M/bundle.json","state":"https://pith.science/pith/YVH4X2AKQHUCABW6LJOVIWGY3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YVH4X2AKQHUCABW6LJOVIWGY3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YVH4X2AKQHUCABW6LJOVIWGY3M","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":"564a2d5083821eb7d4c1cf09c6c40852c199c049f228636f4fbc94710a7bfc90","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-20T16:20:09Z","title_canon_sha256":"006d849b9a3a533117bdef1ab78dffd53477488e925a3393f96c197250f71b19"},"schema_version":"1.0","source":{"id":"1107.4023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4023","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4023v1","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4023","created_at":"2026-05-18T04:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"YVH4X2AKQHUC","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YVH4X2AKQHUCABW6","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YVH4X2AK","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:1b1e17dcff0ad6ae7721a98eecac6bfa2e21b18db1804096c013833244fdf284","target":"graph","created_at":"2026-05-18T04:16:30Z","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 Hamiltonian analysis for the Chern-Simons theory and Pontryagin invariant, which depends of a connection valued in the Lie algebra of SO(3,1), is performed. By applying a pure Dirac's method we find for both theories the extended Hamiltonian, the extended action, the constraint algebra, the gauge transformations and we carry out the counting of degrees of freedom. From the results obtained in the present analysis, we will conclude that the theories under study have a closed relation among its constraints and defines a topological field theory. In addition, we extends the configuration spac","authors_text":"Alberto Escalante, Leopoldo Carbajal","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-20T16:20:09Z","title":"Hamiltonian study for Chern-Simons and Pontryagin theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4023","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:c900135087e8bcb6cd5fb48cef2edafec87db246bde00084dfb04f2ce85cc021","target":"record","created_at":"2026-05-18T04:16:30Z","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":"564a2d5083821eb7d4c1cf09c6c40852c199c049f228636f4fbc94710a7bfc90","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-07-20T16:20:09Z","title_canon_sha256":"006d849b9a3a533117bdef1ab78dffd53477488e925a3393f96c197250f71b19"},"schema_version":"1.0","source":{"id":"1107.4023","kind":"arxiv","version":1}},"canonical_sha256":"c54fcbe80a81e82006de5a5d5458d8db3b0af38e7f80c83a8b980796343c544c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c54fcbe80a81e82006de5a5d5458d8db3b0af38e7f80c83a8b980796343c544c","first_computed_at":"2026-05-18T04:16:30.495343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:30.495343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vVz2uLzmMc5xfSYpjX2XhXs5q+3ikE13GtVOcfuGtatL14xo3TS23bZ0E9YEZvGnfKeT4i4trt+rs9ZA6nhLAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:30.495768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c900135087e8bcb6cd5fb48cef2edafec87db246bde00084dfb04f2ce85cc021","sha256:1b1e17dcff0ad6ae7721a98eecac6bfa2e21b18db1804096c013833244fdf284"],"state_sha256":"d4531cc543108c131267fb08b9dd6fb3573e24cc0ebc7b499cfbf387b63c19ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Uk9O9BUjqzXvCez1X2zQXstJLy+U5CyA+w6n5Y9LdDvNgpf1ncCjkNnyohl8h6Wip4HqisTXgFZdlinX3bkAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T15:28:46.005006Z","bundle_sha256":"af3c572e6aa82da3a10fa181c438568c6c7d7541c0eb5996707e148d6da42de6"}}