{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YNTFNL5XAN5SNU4KCQXRJ4EHAA","short_pith_number":"pith:YNTFNL5X","canonical_record":{"source":{"id":"2605.17074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-16T16:44:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"61b0cfb68c11aaae6d8246272d7c6b43f73082e74e771d2e2cba9f5814e2951b","abstract_canon_sha256":"1ade09d8871aed62d249c9601d71d3917cb58f7aa60b4cbedd34c6d292410e9c"},"schema_version":"1.0"},"canonical_sha256":"c36656afb7037b26d38a142f14f0870005fe442d4d991db15b6d377797f9580f","source":{"kind":"arxiv","id":"2605.17074","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17074","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17074v1","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17074","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"pith_short_12","alias_value":"YNTFNL5XAN5S","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"pith_short_16","alias_value":"YNTFNL5XAN5SNU4K","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"pith_short_8","alias_value":"YNTFNL5X","created_at":"2026-05-20T00:03:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YNTFNL5XAN5SNU4KCQXRJ4EHAA","target":"record","payload":{"canonical_record":{"source":{"id":"2605.17074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-16T16:44:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"61b0cfb68c11aaae6d8246272d7c6b43f73082e74e771d2e2cba9f5814e2951b","abstract_canon_sha256":"1ade09d8871aed62d249c9601d71d3917cb58f7aa60b4cbedd34c6d292410e9c"},"schema_version":"1.0"},"canonical_sha256":"c36656afb7037b26d38a142f14f0870005fe442d4d991db15b6d377797f9580f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:03:39.266639Z","signature_b64":"GjKYJc5PE7i+iu6vt0E79+e5OMLanhzC0bgH/3PRKC3BdjbnHpipzoIZNqSc1HXuL11Jk6uo4tVx1tSBSgNkAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c36656afb7037b26d38a142f14f0870005fe442d4d991db15b6d377797f9580f","last_reissued_at":"2026-05-20T00:03:39.266088Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:03:39.266088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.17074","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":"2026-05-20T00:03:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3iUJL7HN9hwJXhyQonAQhi0yByBmL31YR3KrPbyAoqDm7tUtGURbFLl/JBqyUIG3/jGfCYS5Qt0aWawNtTrnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:14:08.082746Z"},"content_sha256":"e72b54201ad95b71c2b7cc394af8b06f1aa634e06b7b5eb97493119925d99339","schema_version":"1.0","event_id":"sha256:e72b54201ad95b71c2b7cc394af8b06f1aa634e06b7b5eb97493119925d99339"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YNTFNL5XAN5SNU4KCQXRJ4EHAA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Path-Extrema Upper Bounds on Mean Entropy Production","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Surachate Limkumnerd","submitted_at":"2026-05-16T16:44:04Z","abstract_excerpt":"Fluctuation relations imply the second-law inequality $\\langle\\Sigma_T\\rangle\\ge0$, but path extrema can also constrain how large the mean entropy production can be. For steady-state processes with entropy-production martingale $M_t=e^{-\\Sigma_t}$, we show that knowing only the positive running maximum of $\\Sigma_t$ gives no improvement over the trivial endpoint bound: rare negative entropy-production excursions can still carry the exponential weight required by the fluctuation relation. Using the running extrema $L_T=\\inf M_t$ and $H_T=\\sup M_t$, we derive a path-extrema upper envelope $\\math"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17074","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17074/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T22:33:23.812126Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T22:21:57.749908Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"d251d997d83038b7a7ae2c5c5e612145dd89290e6643d32fa2bd37cd2060d03e"},"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":"2026-05-20T00:03:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mVX7QECldAHC9deLo45Q5+5yNBCNTmj1ZbiFrE+A9jG4odzJkBSDlOChyk9YxWjseDLQ6+gL6xFKms0J2PQxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:14:08.083157Z"},"content_sha256":"8bfb4a5237e83c429eb5dd875146c45f21a2a1d52c0243e2b9b44536bb517351","schema_version":"1.0","event_id":"sha256:8bfb4a5237e83c429eb5dd875146c45f21a2a1d52c0243e2b9b44536bb517351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YNTFNL5XAN5SNU4KCQXRJ4EHAA/bundle.json","state_url":"https://pith.science/pith/YNTFNL5XAN5SNU4KCQXRJ4EHAA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YNTFNL5XAN5SNU4KCQXRJ4EHAA/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":"2026-06-02T08:14:08Z","links":{"resolver":"https://pith.science/pith/YNTFNL5XAN5SNU4KCQXRJ4EHAA","bundle":"https://pith.science/pith/YNTFNL5XAN5SNU4KCQXRJ4EHAA/bundle.json","state":"https://pith.science/pith/YNTFNL5XAN5SNU4KCQXRJ4EHAA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YNTFNL5XAN5SNU4KCQXRJ4EHAA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YNTFNL5XAN5SNU4KCQXRJ4EHAA","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":"1ade09d8871aed62d249c9601d71d3917cb58f7aa60b4cbedd34c6d292410e9c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-16T16:44:04Z","title_canon_sha256":"61b0cfb68c11aaae6d8246272d7c6b43f73082e74e771d2e2cba9f5814e2951b"},"schema_version":"1.0","source":{"id":"2605.17074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17074","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17074v1","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17074","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"pith_short_12","alias_value":"YNTFNL5XAN5S","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"pith_short_16","alias_value":"YNTFNL5XAN5SNU4K","created_at":"2026-05-20T00:03:39Z"},{"alias_kind":"pith_short_8","alias_value":"YNTFNL5X","created_at":"2026-05-20T00:03:39Z"}],"graph_snapshots":[{"event_id":"sha256:8bfb4a5237e83c429eb5dd875146c45f21a2a1d52c0243e2b9b44536bb517351","target":"graph","created_at":"2026-05-20T00:03:39Z","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":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T22:33:23.812126Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T22:21:57.749908Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.17074/integrity.json","findings":[],"snapshot_sha256":"d251d997d83038b7a7ae2c5c5e612145dd89290e6643d32fa2bd37cd2060d03e","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Fluctuation relations imply the second-law inequality $\\langle\\Sigma_T\\rangle\\ge0$, but path extrema can also constrain how large the mean entropy production can be. For steady-state processes with entropy-production martingale $M_t=e^{-\\Sigma_t}$, we show that knowing only the positive running maximum of $\\Sigma_t$ gives no improvement over the trivial endpoint bound: rare negative entropy-production excursions can still carry the exponential weight required by the fluctuation relation. Using the running extrema $L_T=\\inf M_t$ and $H_T=\\sup M_t$, we derive a path-extrema upper envelope $\\math","authors_text":"Surachate Limkumnerd","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-16T16:44:04Z","title":"Path-Extrema Upper Bounds on Mean Entropy Production"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17074","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:e72b54201ad95b71c2b7cc394af8b06f1aa634e06b7b5eb97493119925d99339","target":"record","created_at":"2026-05-20T00:03:39Z","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":"1ade09d8871aed62d249c9601d71d3917cb58f7aa60b4cbedd34c6d292410e9c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-16T16:44:04Z","title_canon_sha256":"61b0cfb68c11aaae6d8246272d7c6b43f73082e74e771d2e2cba9f5814e2951b"},"schema_version":"1.0","source":{"id":"2605.17074","kind":"arxiv","version":1}},"canonical_sha256":"c36656afb7037b26d38a142f14f0870005fe442d4d991db15b6d377797f9580f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c36656afb7037b26d38a142f14f0870005fe442d4d991db15b6d377797f9580f","first_computed_at":"2026-05-20T00:03:39.266088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:39.266088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GjKYJc5PE7i+iu6vt0E79+e5OMLanhzC0bgH/3PRKC3BdjbnHpipzoIZNqSc1HXuL11Jk6uo4tVx1tSBSgNkAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:39.266639Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e72b54201ad95b71c2b7cc394af8b06f1aa634e06b7b5eb97493119925d99339","sha256:8bfb4a5237e83c429eb5dd875146c45f21a2a1d52c0243e2b9b44536bb517351"],"state_sha256":"cccf402d2b2122d033a18abddf5019a8c39c9f6d430f4f8dd0fa0c84b113d125"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sPzZ2UVsJBt7G86DeBGelew7FOjjZOmhce4EvOyBcqr81FgM17H2T8XCnFdze2dMQCI7g6j/R/AVVLSH3bBiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:14:08.085327Z","bundle_sha256":"67b78349b08a1eff71ccad473627a261e241f663eea4b277d04cb74da0ff16f8"}}