{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:TTHAOKQCJHJF7HH4Y6WNH7LNPL","short_pith_number":"pith:TTHAOKQC","canonical_record":{"source":{"id":"2508.10728","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T15:10:16Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"3fa15a8307af1ff49ca25ce590bf852466217659576d3fb883b328d791f984f6","abstract_canon_sha256":"66a55e695cff6ffeb688a81c04b5cd38998cdd9f71c5cfcdba93bb5003794a88"},"schema_version":"1.0"},"canonical_sha256":"9cce072a0249d25f9cfcc7acd3fd6d7ae6f7ce26dc24ae10b4919a29b9f686bb","source":{"kind":"arxiv","id":"2508.10728","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10728","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10728v1","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10728","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"TTHAOKQCJHJF","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"pith_short_16","alias_value":"TTHAOKQCJHJF7HH4","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"pith_short_8","alias_value":"TTHAOKQC","created_at":"2026-07-05T11:54:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:TTHAOKQCJHJF7HH4Y6WNH7LNPL","target":"record","payload":{"canonical_record":{"source":{"id":"2508.10728","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T15:10:16Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"3fa15a8307af1ff49ca25ce590bf852466217659576d3fb883b328d791f984f6","abstract_canon_sha256":"66a55e695cff6ffeb688a81c04b5cd38998cdd9f71c5cfcdba93bb5003794a88"},"schema_version":"1.0"},"canonical_sha256":"9cce072a0249d25f9cfcc7acd3fd6d7ae6f7ce26dc24ae10b4919a29b9f686bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:54:01.441647Z","signature_b64":"zZzuYKXxildamqGgAjHp0BYjdvPKLsaSwM4mlawYCybYAhFbM/oLsbfI/0ANitv27eXVB5buzIk8ORkmYkv1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9cce072a0249d25f9cfcc7acd3fd6d7ae6f7ce26dc24ae10b4919a29b9f686bb","last_reissued_at":"2026-07-05T11:54:01.441186Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:54:01.441186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.10728","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":"2026-07-05T11:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bDctNJRuTnodEQUEj41tdd8C6tRhgCUm+r5fj81VaXKNxUoOOuPzJs6E/blysqJoyk0cX7RanAQ2fOz2lxIrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T15:29:47.642196Z"},"content_sha256":"2ac38f645973dc2440891155caf05ef3d4410d9a23a0d43514f2a1893c385c4a","schema_version":"1.0","event_id":"sha256:2ac38f645973dc2440891155caf05ef3d4410d9a23a0d43514f2a1893c385c4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:TTHAOKQCJHJF7HH4Y6WNH7LNPL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global dynamical stability for KMS-states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Heide Narnhofer","submitted_at":"2025-08-14T15:10:16Z","abstract_excerpt":"The Hugenholz-Boltzmann-evolution is generalized to strongly interacting systems on the lattice. Under appropriate assumptions states stable under this evolution are shown to satify the KMS-condition. How far these assumptions are reasonable is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10728","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/2508.10728/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":"2026-07-05T11:54:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1DxF5jaRYQwj5Mt+gBKWVhosaWkphormk310/O5POc5UyfQbzs8QIaDldO3vKmhBPih6EZBqvELBXWTck4uCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T15:29:47.642728Z"},"content_sha256":"ba89d46e795d39edae02b366e4595369904215a7f440641d5a1b460949acc6de","schema_version":"1.0","event_id":"sha256:ba89d46e795d39edae02b366e4595369904215a7f440641d5a1b460949acc6de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TTHAOKQCJHJF7HH4Y6WNH7LNPL/bundle.json","state_url":"https://pith.science/pith/TTHAOKQCJHJF7HH4Y6WNH7LNPL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TTHAOKQCJHJF7HH4Y6WNH7LNPL/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":"2026-08-10T15:29:47Z","links":{"resolver":"https://pith.science/pith/TTHAOKQCJHJF7HH4Y6WNH7LNPL","bundle":"https://pith.science/pith/TTHAOKQCJHJF7HH4Y6WNH7LNPL/bundle.json","state":"https://pith.science/pith/TTHAOKQCJHJF7HH4Y6WNH7LNPL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TTHAOKQCJHJF7HH4Y6WNH7LNPL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TTHAOKQCJHJF7HH4Y6WNH7LNPL","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":"66a55e695cff6ffeb688a81c04b5cd38998cdd9f71c5cfcdba93bb5003794a88","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T15:10:16Z","title_canon_sha256":"3fa15a8307af1ff49ca25ce590bf852466217659576d3fb883b328d791f984f6"},"schema_version":"1.0","source":{"id":"2508.10728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.10728","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"arxiv_version","alias_value":"2508.10728v1","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.10728","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"pith_short_12","alias_value":"TTHAOKQCJHJF","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"pith_short_16","alias_value":"TTHAOKQCJHJF7HH4","created_at":"2026-07-05T11:54:01Z"},{"alias_kind":"pith_short_8","alias_value":"TTHAOKQC","created_at":"2026-07-05T11:54:01Z"}],"graph_snapshots":[{"event_id":"sha256:ba89d46e795d39edae02b366e4595369904215a7f440641d5a1b460949acc6de","target":"graph","created_at":"2026-07-05T11:54:01Z","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/2508.10728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Hugenholz-Boltzmann-evolution is generalized to strongly interacting systems on the lattice. Under appropriate assumptions states stable under this evolution are shown to satify the KMS-condition. How far these assumptions are reasonable is discussed.","authors_text":"Heide Narnhofer","cross_cats":["math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T15:10:16Z","title":"Global dynamical stability for KMS-states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.10728","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":"sha256:2ac38f645973dc2440891155caf05ef3d4410d9a23a0d43514f2a1893c385c4a","target":"record","created_at":"2026-07-05T11:54:01Z","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":"66a55e695cff6ffeb688a81c04b5cd38998cdd9f71c5cfcdba93bb5003794a88","cross_cats_sorted":["math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-08-14T15:10:16Z","title_canon_sha256":"3fa15a8307af1ff49ca25ce590bf852466217659576d3fb883b328d791f984f6"},"schema_version":"1.0","source":{"id":"2508.10728","kind":"arxiv","version":1}},"canonical_sha256":"9cce072a0249d25f9cfcc7acd3fd6d7ae6f7ce26dc24ae10b4919a29b9f686bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9cce072a0249d25f9cfcc7acd3fd6d7ae6f7ce26dc24ae10b4919a29b9f686bb","first_computed_at":"2026-07-05T11:54:01.441186Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:54:01.441186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zZzuYKXxildamqGgAjHp0BYjdvPKLsaSwM4mlawYCybYAhFbM/oLsbfI/0ANitv27eXVB5buzIk8ORkmYkv1DA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:54:01.441647Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.10728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ac38f645973dc2440891155caf05ef3d4410d9a23a0d43514f2a1893c385c4a","sha256:ba89d46e795d39edae02b366e4595369904215a7f440641d5a1b460949acc6de"],"state_sha256":"ee4b5b789ff5751cb78981597f486e8e0d2cc2d87e3f9be62c785767d453d13f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"75YEU9t0JKiAjbruksD9eQUDZZBx9/Dwm+g1mqUp4xYwglNykpZ0AHb4sLNANTXQDhvskFg6X3w2Ns+M1HRbBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T15:29:47.648511Z","bundle_sha256":"1f12d53c98ffff63edca6f9e98cdbecae62a328096781b8faabde1068889061b"}}