{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:JWIQQC7RSKIO74ADD2WVE6EAXM","short_pith_number":"pith:JWIQQC7R","canonical_record":{"source":{"id":"1501.06514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-26T18:37:15Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"08644d8db188df1f98dae816a8204b6832a4950726d2de58b36ffcd8b748831b","abstract_canon_sha256":"0bfb5348bd6cf45c1934a128d0551f5ba78ec305150b1a32dbf0ebfe8e4d8cc7"},"schema_version":"1.0"},"canonical_sha256":"4d91080bf19290eff0031ead527880bb3abf244f8a39960b1d940f69ef987a32","source":{"kind":"arxiv","id":"1501.06514","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06514","created_at":"2026-05-18T01:16:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06514v2","created_at":"2026-05-18T01:16:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06514","created_at":"2026-05-18T01:16:53Z"},{"alias_kind":"pith_short_12","alias_value":"JWIQQC7RSKIO","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JWIQQC7RSKIO74AD","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JWIQQC7R","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:JWIQQC7RSKIO74ADD2WVE6EAXM","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-26T18:37:15Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"08644d8db188df1f98dae816a8204b6832a4950726d2de58b36ffcd8b748831b","abstract_canon_sha256":"0bfb5348bd6cf45c1934a128d0551f5ba78ec305150b1a32dbf0ebfe8e4d8cc7"},"schema_version":"1.0"},"canonical_sha256":"4d91080bf19290eff0031ead527880bb3abf244f8a39960b1d940f69ef987a32","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:53.216042Z","signature_b64":"AZGkAn5Qb3h/dSvCCJBMEhu6inZbxtt6e3pbpQzGNawD5kWaYoM9lxNyX58lpnD/vkacd0OBvNm91CxTAhw4CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d91080bf19290eff0031ead527880bb3abf244f8a39960b1d940f69ef987a32","last_reissued_at":"2026-05-18T01:16:53.215361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:53.215361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06514","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":"2026-05-18T01:16:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Ib3OZWax8hB03baR3SsFQWwiB6J/C1/43z8IEwcEoPhMU+Vy011MwO2y2qkxaDpzRyJqWyxyGSGSiRh7DkGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:45:20.569030Z"},"content_sha256":"91a301d1c616c8a2ec84c48a1525f45429ae41988ef95e74289e575324dc0c4c","schema_version":"1.0","event_id":"sha256:91a301d1c616c8a2ec84c48a1525f45429ae41988ef95e74289e575324dc0c4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:JWIQQC7RSKIO74ADD2WVE6EAXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coherent-state path integral versus coarse-grained effective stochastic equation of motion: From reaction diffusion to stochastic sandpiles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Kay J\\\"org Wiese","submitted_at":"2015-01-26T18:37:15Z","abstract_excerpt":"We derive and study two different formalisms used for non-equilibrium processes: The coherent-state path integral, and an effective, coarse-grained stochastic equation of motion. We first study the coherent-state path integral and the corresponding field theory, using the annihilation process $A+A\\to A$ as an example. The field theory contains counter-intuitive quartic vertices. We show how they can be interpreted in terms of a first-passage problem. Reformulating the coherent-state path integral as a stochastic equation of motion, the noise generically becomes imaginary. This renders it not o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06514","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":""},"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":"2026-05-18T01:16:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qEhS3WPbPfIk20ikZHGVoAQkS+tvpjmY5x3BcRc1BW8BT/QzxKeq9U/BFjP194I2CoYm3BMwPIVBz0WrWCsQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:45:20.569402Z"},"content_sha256":"1f2005b63903357ee6f61d888a4a553cda09d0586289e6346d222f2deef4e377","schema_version":"1.0","event_id":"sha256:1f2005b63903357ee6f61d888a4a553cda09d0586289e6346d222f2deef4e377"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWIQQC7RSKIO74ADD2WVE6EAXM/bundle.json","state_url":"https://pith.science/pith/JWIQQC7RSKIO74ADD2WVE6EAXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWIQQC7RSKIO74ADD2WVE6EAXM/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":"2026-05-30T08:45:20Z","links":{"resolver":"https://pith.science/pith/JWIQQC7RSKIO74ADD2WVE6EAXM","bundle":"https://pith.science/pith/JWIQQC7RSKIO74ADD2WVE6EAXM/bundle.json","state":"https://pith.science/pith/JWIQQC7RSKIO74ADD2WVE6EAXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWIQQC7RSKIO74ADD2WVE6EAXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JWIQQC7RSKIO74ADD2WVE6EAXM","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":"0bfb5348bd6cf45c1934a128d0551f5ba78ec305150b1a32dbf0ebfe8e4d8cc7","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-26T18:37:15Z","title_canon_sha256":"08644d8db188df1f98dae816a8204b6832a4950726d2de58b36ffcd8b748831b"},"schema_version":"1.0","source":{"id":"1501.06514","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06514","created_at":"2026-05-18T01:16:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06514v2","created_at":"2026-05-18T01:16:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06514","created_at":"2026-05-18T01:16:53Z"},{"alias_kind":"pith_short_12","alias_value":"JWIQQC7RSKIO","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JWIQQC7RSKIO74AD","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JWIQQC7R","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:1f2005b63903357ee6f61d888a4a553cda09d0586289e6346d222f2deef4e377","target":"graph","created_at":"2026-05-18T01:16:53Z","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":"We derive and study two different formalisms used for non-equilibrium processes: The coherent-state path integral, and an effective, coarse-grained stochastic equation of motion. We first study the coherent-state path integral and the corresponding field theory, using the annihilation process $A+A\\to A$ as an example. The field theory contains counter-intuitive quartic vertices. We show how they can be interpreted in terms of a first-passage problem. Reformulating the coherent-state path integral as a stochastic equation of motion, the noise generically becomes imaginary. This renders it not o","authors_text":"Kay J\\\"org Wiese","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-26T18:37:15Z","title":"Coherent-state path integral versus coarse-grained effective stochastic equation of motion: From reaction diffusion to stochastic sandpiles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06514","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":"sha256:91a301d1c616c8a2ec84c48a1525f45429ae41988ef95e74289e575324dc0c4c","target":"record","created_at":"2026-05-18T01:16:53Z","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":"0bfb5348bd6cf45c1934a128d0551f5ba78ec305150b1a32dbf0ebfe8e4d8cc7","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-01-26T18:37:15Z","title_canon_sha256":"08644d8db188df1f98dae816a8204b6832a4950726d2de58b36ffcd8b748831b"},"schema_version":"1.0","source":{"id":"1501.06514","kind":"arxiv","version":2}},"canonical_sha256":"4d91080bf19290eff0031ead527880bb3abf244f8a39960b1d940f69ef987a32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d91080bf19290eff0031ead527880bb3abf244f8a39960b1d940f69ef987a32","first_computed_at":"2026-05-18T01:16:53.215361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:53.215361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AZGkAn5Qb3h/dSvCCJBMEhu6inZbxtt6e3pbpQzGNawD5kWaYoM9lxNyX58lpnD/vkacd0OBvNm91CxTAhw4CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:53.216042Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06514","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91a301d1c616c8a2ec84c48a1525f45429ae41988ef95e74289e575324dc0c4c","sha256:1f2005b63903357ee6f61d888a4a553cda09d0586289e6346d222f2deef4e377"],"state_sha256":"85602b2d0d266ac475d5d801ae0b166e87021dc40d589483ea1c89a5b74ea323"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1gwxhWcUP8bFR07uqlJ7EedsKKMLb6dSds3hwbnPQBA7lVQ+8AhpFtbuVC2QPJwU0BzverSTyulu1Ck6BmFdAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:45:20.571646Z","bundle_sha256":"5b9e7abbdabe1b0e998ef9af4a59a15fcd86878bd3ed17810fdab244d9b050ad"}}