{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:73T7CA5AAZHVHDA7JX6UYVNION","short_pith_number":"pith:73T7CA5A","canonical_record":{"source":{"id":"2404.08815","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-04-12T21:15:25Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"d2b9d784c7488c1cdc8cd1f54e24c7d52216062ec81b1fa7447be93cbb56fd96","abstract_canon_sha256":"30dcf5451fe2de41656ba159028d9243e777946c4c296c8f455dace59c81bd4e"},"schema_version":"1.0"},"canonical_sha256":"fee7f103a0064f538c1f4dfd4c55a8736ea1008cc604d32776010b12976864cb","source":{"kind":"arxiv","id":"2404.08815","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.08815","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"arxiv_version","alias_value":"2404.08815v2","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.08815","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"pith_short_12","alias_value":"73T7CA5AAZHV","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"pith_short_16","alias_value":"73T7CA5AAZHVHDA7","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"pith_short_8","alias_value":"73T7CA5A","created_at":"2026-07-05T08:09:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:73T7CA5AAZHVHDA7JX6UYVNION","target":"record","payload":{"canonical_record":{"source":{"id":"2404.08815","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-04-12T21:15:25Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"d2b9d784c7488c1cdc8cd1f54e24c7d52216062ec81b1fa7447be93cbb56fd96","abstract_canon_sha256":"30dcf5451fe2de41656ba159028d9243e777946c4c296c8f455dace59c81bd4e"},"schema_version":"1.0"},"canonical_sha256":"fee7f103a0064f538c1f4dfd4c55a8736ea1008cc604d32776010b12976864cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:09:49.938183Z","signature_b64":"fS/ev8eTEsjagsWnw/5liOPxEnW/3PKgK19NtFoiidaJ7Asu6QAUP4BcD0R5uNm+hdYwlRWjVLuLmGQxhKg+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fee7f103a0064f538c1f4dfd4c55a8736ea1008cc604d32776010b12976864cb","last_reissued_at":"2026-07-05T08:09:49.937693Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:09:49.937693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.08815","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":"2026-07-05T08:09:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+MDa3Pg1Me9XYzJnvadH6Yj7YHx3nUkWadRzK9n/fQQCXgI93EiYyV0y9kmcmQfU9FbWug6iLfbzsOAo8cjmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T17:29:24.628375Z"},"content_sha256":"c80b22d97b26603538edae1772dc40f1cc46cd2fd92af128d299f0ccdfef908b","schema_version":"1.0","event_id":"sha256:c80b22d97b26603538edae1772dc40f1cc46cd2fd92af128d299f0ccdfef908b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:73T7CA5AAZHVHDA7JX6UYVNION","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Star exponentials from propagators and path integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Alberto Molgado, Hugo Garcia-Compean, Jasel Berra-Montiel","submitted_at":"2024-04-12T21:15:25Z","abstract_excerpt":"In this paper we address the relation between the star exponentials emerging within the Deformation Quantization formalism and Feynman's path integrals associated with propagators in quantum dynamics. In order to obtain such a relation, we start by visualizing the quantum propagator as an integral transform of the star exponential by means of the symbol corresponding to the time evolution operator and, thus, we introduce Feynman's path integral representation of the propagator as a sum over all the classical histories. The star exponential thus constructed has the advantage that it does not de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.08815","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.08815/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:09:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+mAcQZb7v8SpB4ZxqEC/UhjQXh0M+cIPwuWjkO3plhaYZwaBLkIpYjmEwNrKq34209PMOsDaV0FKtBViKs11Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T17:29:24.628890Z"},"content_sha256":"69a50db418610d4ffb6f961fef52468241764b8f27d8b424b689b03c50182b83","schema_version":"1.0","event_id":"sha256:69a50db418610d4ffb6f961fef52468241764b8f27d8b424b689b03c50182b83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73T7CA5AAZHVHDA7JX6UYVNION/bundle.json","state_url":"https://pith.science/pith/73T7CA5AAZHVHDA7JX6UYVNION/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73T7CA5AAZHVHDA7JX6UYVNION/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":"2026-08-20T17:29:24Z","links":{"resolver":"https://pith.science/pith/73T7CA5AAZHVHDA7JX6UYVNION","bundle":"https://pith.science/pith/73T7CA5AAZHVHDA7JX6UYVNION/bundle.json","state":"https://pith.science/pith/73T7CA5AAZHVHDA7JX6UYVNION/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73T7CA5AAZHVHDA7JX6UYVNION/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:73T7CA5AAZHVHDA7JX6UYVNION","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":"30dcf5451fe2de41656ba159028d9243e777946c4c296c8f455dace59c81bd4e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-04-12T21:15:25Z","title_canon_sha256":"d2b9d784c7488c1cdc8cd1f54e24c7d52216062ec81b1fa7447be93cbb56fd96"},"schema_version":"1.0","source":{"id":"2404.08815","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.08815","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"arxiv_version","alias_value":"2404.08815v2","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.08815","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"pith_short_12","alias_value":"73T7CA5AAZHV","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"pith_short_16","alias_value":"73T7CA5AAZHVHDA7","created_at":"2026-07-05T08:09:49Z"},{"alias_kind":"pith_short_8","alias_value":"73T7CA5A","created_at":"2026-07-05T08:09:49Z"}],"graph_snapshots":[{"event_id":"sha256:69a50db418610d4ffb6f961fef52468241764b8f27d8b424b689b03c50182b83","target":"graph","created_at":"2026-07-05T08:09:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.08815/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we address the relation between the star exponentials emerging within the Deformation Quantization formalism and Feynman's path integrals associated with propagators in quantum dynamics. In order to obtain such a relation, we start by visualizing the quantum propagator as an integral transform of the star exponential by means of the symbol corresponding to the time evolution operator and, thus, we introduce Feynman's path integral representation of the propagator as a sum over all the classical histories. The star exponential thus constructed has the advantage that it does not de","authors_text":"Alberto Molgado, Hugo Garcia-Compean, Jasel Berra-Montiel","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-04-12T21:15:25Z","title":"Star exponentials from propagators and path integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.08815","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:c80b22d97b26603538edae1772dc40f1cc46cd2fd92af128d299f0ccdfef908b","target":"record","created_at":"2026-07-05T08:09:49Z","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":"30dcf5451fe2de41656ba159028d9243e777946c4c296c8f455dace59c81bd4e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-04-12T21:15:25Z","title_canon_sha256":"d2b9d784c7488c1cdc8cd1f54e24c7d52216062ec81b1fa7447be93cbb56fd96"},"schema_version":"1.0","source":{"id":"2404.08815","kind":"arxiv","version":2}},"canonical_sha256":"fee7f103a0064f538c1f4dfd4c55a8736ea1008cc604d32776010b12976864cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fee7f103a0064f538c1f4dfd4c55a8736ea1008cc604d32776010b12976864cb","first_computed_at":"2026-07-05T08:09:49.937693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:09:49.937693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fS/ev8eTEsjagsWnw/5liOPxEnW/3PKgK19NtFoiidaJ7Asu6QAUP4BcD0R5uNm+hdYwlRWjVLuLmGQxhKg+Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:09:49.938183Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.08815","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c80b22d97b26603538edae1772dc40f1cc46cd2fd92af128d299f0ccdfef908b","sha256:69a50db418610d4ffb6f961fef52468241764b8f27d8b424b689b03c50182b83"],"state_sha256":"1831aa7c078dad10cb6dfc7fba39ce91d8b28aecb8054c4eafa7c563673ab529"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"45QiAwfePmfjCwLKBCrH21mUrWCy+pMSxTqv3JniDMz/HSTH64VS9eMNfW9glOosqnDCfrNiyrhD9wDqPKWEAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T17:29:24.634016Z","bundle_sha256":"72698f85d1214b3540b2822be0c27d65f2390fe09923811c191f846f851cc668"}}