{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WWRTPZJTF727EL2PRRY5CS3BAN","short_pith_number":"pith:WWRTPZJT","canonical_record":{"source":{"id":"1203.4878","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-22T03:53:20Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"3d976a05dc829da6f8fbccf5ae67150bb7ddbb4d63201a06f28587bd4b2961f1","abstract_canon_sha256":"31fa0d26440bd85fc8cabd5436b33d8060f42efc556d37edd374189cee3f53bd"},"schema_version":"1.0"},"canonical_sha256":"b5a337e5332ff5f22f4f8c71d14b61037e921abd4e5bda81cc1085c39e74c9e2","source":{"kind":"arxiv","id":"1203.4878","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4878","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4878v1","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4878","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"pith_short_12","alias_value":"WWRTPZJTF727","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WWRTPZJTF727EL2P","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WWRTPZJT","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WWRTPZJTF727EL2PRRY5CS3BAN","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4878","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-22T03:53:20Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"3d976a05dc829da6f8fbccf5ae67150bb7ddbb4d63201a06f28587bd4b2961f1","abstract_canon_sha256":"31fa0d26440bd85fc8cabd5436b33d8060f42efc556d37edd374189cee3f53bd"},"schema_version":"1.0"},"canonical_sha256":"b5a337e5332ff5f22f4f8c71d14b61037e921abd4e5bda81cc1085c39e74c9e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:38.923919Z","signature_b64":"CFxA1dhr5RPjeQDMsOL/HBAgN3rbGrizzaPH8wfGkYPIW1uxDgzveAfR1I1+kWGwBcBRDF0RSixoCqD2FjLBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5a337e5332ff5f22f4f8c71d14b61037e921abd4e5bda81cc1085c39e74c9e2","last_reissued_at":"2026-05-18T01:37:38.923381Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:38.923381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4878","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":"2026-05-18T01:37:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pb/TIZqmkeZKh8RvJlm6bGR3Hw7JeTiH/SgBplXhPTgKqBmndWunpEUGEkm1BG6cwcIXTqHQP6VI4rRL1XXkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:36:40.928280Z"},"content_sha256":"377187b8fe389c1435b19e99e94c26bb57f2dcd20659016a79fdcb4e32c45dec","schema_version":"1.0","event_id":"sha256:377187b8fe389c1435b19e99e94c26bb57f2dcd20659016a79fdcb4e32c45dec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WWRTPZJTF727EL2PRRY5CS3BAN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Grassmann Variables and the Jaynes-Cummings Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Barry M. Garraway, Bryan J. Dalton, John Jeffers, Stephen M. Barnett","submitted_at":"2012-03-22T03:53:20Z","abstract_excerpt":"This paper shows that phase space methods using a positive P type distribution function involving both c-number variables (for the cavity mode) and Grassmann variables (for the two level atom) can be used to treat the Jaynes-Cummings model. Although it is a Grassmann function, the distribution function is equivalent to six c-number functions of the two bosonic variables. Experimental quantities are given as bosonic phase space integrals involving the six functions. A Fokker-Planck equation involving both left and right Grassmann differentiation can be obtained for the distribution function, an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4878","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":"2026-05-18T01:37:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDl4B3bNQt9bVeiCLu7SeqX6M8RxNHUtIXfjr5bTR5qoZeqUOiWnuZd/HGeGAGwwnYP28j2IE2nt00bR7XZYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:36:40.928964Z"},"content_sha256":"208d6a900df6d054de0a3ece8f713d8195a19bd84c6b152a380a2fe69eb89c76","schema_version":"1.0","event_id":"sha256:208d6a900df6d054de0a3ece8f713d8195a19bd84c6b152a380a2fe69eb89c76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WWRTPZJTF727EL2PRRY5CS3BAN/bundle.json","state_url":"https://pith.science/pith/WWRTPZJTF727EL2PRRY5CS3BAN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WWRTPZJTF727EL2PRRY5CS3BAN/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":"2026-05-28T17:36:40Z","links":{"resolver":"https://pith.science/pith/WWRTPZJTF727EL2PRRY5CS3BAN","bundle":"https://pith.science/pith/WWRTPZJTF727EL2PRRY5CS3BAN/bundle.json","state":"https://pith.science/pith/WWRTPZJTF727EL2PRRY5CS3BAN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WWRTPZJTF727EL2PRRY5CS3BAN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WWRTPZJTF727EL2PRRY5CS3BAN","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":"31fa0d26440bd85fc8cabd5436b33d8060f42efc556d37edd374189cee3f53bd","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-22T03:53:20Z","title_canon_sha256":"3d976a05dc829da6f8fbccf5ae67150bb7ddbb4d63201a06f28587bd4b2961f1"},"schema_version":"1.0","source":{"id":"1203.4878","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4878","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4878v1","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4878","created_at":"2026-05-18T01:37:38Z"},{"alias_kind":"pith_short_12","alias_value":"WWRTPZJTF727","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WWRTPZJTF727EL2P","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WWRTPZJT","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:208d6a900df6d054de0a3ece8f713d8195a19bd84c6b152a380a2fe69eb89c76","target":"graph","created_at":"2026-05-18T01:37:38Z","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":"This paper shows that phase space methods using a positive P type distribution function involving both c-number variables (for the cavity mode) and Grassmann variables (for the two level atom) can be used to treat the Jaynes-Cummings model. Although it is a Grassmann function, the distribution function is equivalent to six c-number functions of the two bosonic variables. Experimental quantities are given as bosonic phase space integrals involving the six functions. A Fokker-Planck equation involving both left and right Grassmann differentiation can be obtained for the distribution function, an","authors_text":"Barry M. Garraway, Bryan J. Dalton, John Jeffers, Stephen M. Barnett","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-22T03:53:20Z","title":"Grassmann Variables and the Jaynes-Cummings Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4878","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":"sha256:377187b8fe389c1435b19e99e94c26bb57f2dcd20659016a79fdcb4e32c45dec","target":"record","created_at":"2026-05-18T01:37:38Z","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":"31fa0d26440bd85fc8cabd5436b33d8060f42efc556d37edd374189cee3f53bd","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-22T03:53:20Z","title_canon_sha256":"3d976a05dc829da6f8fbccf5ae67150bb7ddbb4d63201a06f28587bd4b2961f1"},"schema_version":"1.0","source":{"id":"1203.4878","kind":"arxiv","version":1}},"canonical_sha256":"b5a337e5332ff5f22f4f8c71d14b61037e921abd4e5bda81cc1085c39e74c9e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5a337e5332ff5f22f4f8c71d14b61037e921abd4e5bda81cc1085c39e74c9e2","first_computed_at":"2026-05-18T01:37:38.923381Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:38.923381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CFxA1dhr5RPjeQDMsOL/HBAgN3rbGrizzaPH8wfGkYPIW1uxDgzveAfR1I1+kWGwBcBRDF0RSixoCqD2FjLBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:38.923919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4878","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:377187b8fe389c1435b19e99e94c26bb57f2dcd20659016a79fdcb4e32c45dec","sha256:208d6a900df6d054de0a3ece8f713d8195a19bd84c6b152a380a2fe69eb89c76"],"state_sha256":"da0ddb01533bf6e61a54162320897b823330dc0026eb3b2ae7236cbc00aa3fbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ctrzdh/LJ/tlFTJBFiUneHwY3I0/Ji3EEOEuiB9e8x6HlWNoBpREi9Hg3ByzcsOYXOmEnGLtVNiZr/SS4wpoAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:36:40.932223Z","bundle_sha256":"1b70c173a3591a4060a22f820287e9e5d905a41cf61553b487bc3466e96f1760"}}