{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:R7O2DUJEW6DRQLFV6V7YCZRGWT","short_pith_number":"pith:R7O2DUJE","canonical_record":{"source":{"id":"2406.20028","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-28T16:15:41Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"63481538f3a8f2f163e4f1187d53d0d5b1aac51deda60144aea8c688d59c4dca","abstract_canon_sha256":"5581be8b70c835c85b6f2e77092cf3ebcf4c096e4baf015fa060d9160d86504a"},"schema_version":"1.0"},"canonical_sha256":"8fdda1d124b787182cb5f57f816626b4d9113dd7c952eee0a3d2b3a40a6692ff","source":{"kind":"arxiv","id":"2406.20028","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.20028","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"2406.20028v3","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.20028","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"R7O2DUJEW6DR","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"pith_short_16","alias_value":"R7O2DUJEW6DRQLFV","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"pith_short_8","alias_value":"R7O2DUJE","created_at":"2026-07-05T10:20:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:R7O2DUJEW6DRQLFV6V7YCZRGWT","target":"record","payload":{"canonical_record":{"source":{"id":"2406.20028","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-28T16:15:41Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"63481538f3a8f2f163e4f1187d53d0d5b1aac51deda60144aea8c688d59c4dca","abstract_canon_sha256":"5581be8b70c835c85b6f2e77092cf3ebcf4c096e4baf015fa060d9160d86504a"},"schema_version":"1.0"},"canonical_sha256":"8fdda1d124b787182cb5f57f816626b4d9113dd7c952eee0a3d2b3a40a6692ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:20:13.389793Z","signature_b64":"LvQmeG96ruooAY5aMj5eBwnKyPvQJFrapc/A3D+HTwRvTfy/A4vowCmStEiy7fauvFlSsvohJVEYY402MhkQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fdda1d124b787182cb5f57f816626b4d9113dd7c952eee0a3d2b3a40a6692ff","last_reissued_at":"2026-07-05T10:20:13.389297Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:20:13.389297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.20028","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"50hrpp2xS5cgzubICtLNZ7SVsKyVHdrEUD5OI17orK/7M7rR/G+tz7MOO7AUQj4Eq68ref+Kv6cEzSVUKPCQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T19:46:52.161805Z"},"content_sha256":"303e309ca13534723b8ae05158df0cfaa553ca93555ed7d03a229853c87665cb","schema_version":"1.0","event_id":"sha256:303e309ca13534723b8ae05158df0cfaa553ca93555ed7d03a229853c87665cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:R7O2DUJEW6DRQLFV6V7YCZRGWT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinetics of Quantum Reaction-Diffusion systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.stat-mech","authors_text":"Federico Gerbino, Gabriele Perfetto, Igor Lesanovsky","submitted_at":"2024-06-28T16:15:41Z","abstract_excerpt":"We discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics represents a generalisation of classical reaction-diffusion dynamics to the quantum realm. We first show how initial conditions can be introduced in the Keldysh path integral via boundary terms. We then study binary annihilation reactions $A+A\\to\\emptyset$, for which we derive a Boltzmann-like kinetic equation. The ensuing algebraic decay in time for the particle den"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.20028","kind":"arxiv","version":3},"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/2406.20028/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":"2026-07-05T10:20:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mwMFUF46II5YfGj9Ishnd77mGJflIRN+fEgsSxSGzcTIfbl1qQ+9Ev4KViqHjdZF5aURhnr52w8UONWRzXuLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T19:46:52.162627Z"},"content_sha256":"a846eeb8aca3d833afbd3d992cefe5ae37088ae4e4266a7e34ac92200f4a1dc3","schema_version":"1.0","event_id":"sha256:a846eeb8aca3d833afbd3d992cefe5ae37088ae4e4266a7e34ac92200f4a1dc3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R7O2DUJEW6DRQLFV6V7YCZRGWT/bundle.json","state_url":"https://pith.science/pith/R7O2DUJEW6DRQLFV6V7YCZRGWT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R7O2DUJEW6DRQLFV6V7YCZRGWT/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":"2026-08-19T19:46:52Z","links":{"resolver":"https://pith.science/pith/R7O2DUJEW6DRQLFV6V7YCZRGWT","bundle":"https://pith.science/pith/R7O2DUJEW6DRQLFV6V7YCZRGWT/bundle.json","state":"https://pith.science/pith/R7O2DUJEW6DRQLFV6V7YCZRGWT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R7O2DUJEW6DRQLFV6V7YCZRGWT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:R7O2DUJEW6DRQLFV6V7YCZRGWT","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":"5581be8b70c835c85b6f2e77092cf3ebcf4c096e4baf015fa060d9160d86504a","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-28T16:15:41Z","title_canon_sha256":"63481538f3a8f2f163e4f1187d53d0d5b1aac51deda60144aea8c688d59c4dca"},"schema_version":"1.0","source":{"id":"2406.20028","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.20028","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"arxiv_version","alias_value":"2406.20028v3","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.20028","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"pith_short_12","alias_value":"R7O2DUJEW6DR","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"pith_short_16","alias_value":"R7O2DUJEW6DRQLFV","created_at":"2026-07-05T10:20:13Z"},{"alias_kind":"pith_short_8","alias_value":"R7O2DUJE","created_at":"2026-07-05T10:20:13Z"}],"graph_snapshots":[{"event_id":"sha256:a846eeb8aca3d833afbd3d992cefe5ae37088ae4e4266a7e34ac92200f4a1dc3","target":"graph","created_at":"2026-07-05T10:20:13Z","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/2406.20028/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics represents a generalisation of classical reaction-diffusion dynamics to the quantum realm. We first show how initial conditions can be introduced in the Keldysh path integral via boundary terms. We then study binary annihilation reactions $A+A\\to\\emptyset$, for which we derive a Boltzmann-like kinetic equation. The ensuing algebraic decay in time for the particle den","authors_text":"Federico Gerbino, Gabriele Perfetto, Igor Lesanovsky","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-28T16:15:41Z","title":"Kinetics of Quantum Reaction-Diffusion systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.20028","kind":"arxiv","version":3},"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":"sha256:303e309ca13534723b8ae05158df0cfaa553ca93555ed7d03a229853c87665cb","target":"record","created_at":"2026-07-05T10:20:13Z","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":"5581be8b70c835c85b6f2e77092cf3ebcf4c096e4baf015fa060d9160d86504a","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-06-28T16:15:41Z","title_canon_sha256":"63481538f3a8f2f163e4f1187d53d0d5b1aac51deda60144aea8c688d59c4dca"},"schema_version":"1.0","source":{"id":"2406.20028","kind":"arxiv","version":3}},"canonical_sha256":"8fdda1d124b787182cb5f57f816626b4d9113dd7c952eee0a3d2b3a40a6692ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fdda1d124b787182cb5f57f816626b4d9113dd7c952eee0a3d2b3a40a6692ff","first_computed_at":"2026-07-05T10:20:13.389297Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:20:13.389297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LvQmeG96ruooAY5aMj5eBwnKyPvQJFrapc/A3D+HTwRvTfy/A4vowCmStEiy7fauvFlSsvohJVEYY402MhkQBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:20:13.389793Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.20028","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:303e309ca13534723b8ae05158df0cfaa553ca93555ed7d03a229853c87665cb","sha256:a846eeb8aca3d833afbd3d992cefe5ae37088ae4e4266a7e34ac92200f4a1dc3"],"state_sha256":"ceae99ca248832a99931015fc4d05a90247d39c2724e5ca1c0bdf08fbd0520e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"veBOTy47yVRAA2GinqliXeWERekP706nOUwrujQ53pDQEOWaBc3fV9tf4gqZZ7COMbP6KqLBcPwcMUUd7MEWDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T19:46:52.169845Z","bundle_sha256":"6b40d2e386f420043cd63d8ac76d614cbd1c706b200ae1f5b8bfe76f046dceb2"}}