{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:M2EBHKNLXMQONGQOUHJC2XNZ45","short_pith_number":"pith:M2EBHKNL","canonical_record":{"source":{"id":"2411.13662","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-20T19:10:20Z","cross_cats_sorted":[],"title_canon_sha256":"f510d504ca3ce3440e82e6bad8fcf471445da574155866ee3d0a4d42def1a351","abstract_canon_sha256":"7e68b73e9d1e536032ca6a42edf07b93e82910b18b79c8265938461a983daf9f"},"schema_version":"1.0"},"canonical_sha256":"668813a9abbb20e69a0ea1d22d5db9e749f4e8cbefb3270b0210e3d8859abf8e","source":{"kind":"arxiv","id":"2411.13662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13662","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13662v1","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13662","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"M2EBHKNLXMQO","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"pith_short_16","alias_value":"M2EBHKNLXMQONGQO","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"pith_short_8","alias_value":"M2EBHKNL","created_at":"2026-07-05T09:38:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:M2EBHKNLXMQONGQOUHJC2XNZ45","target":"record","payload":{"canonical_record":{"source":{"id":"2411.13662","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-20T19:10:20Z","cross_cats_sorted":[],"title_canon_sha256":"f510d504ca3ce3440e82e6bad8fcf471445da574155866ee3d0a4d42def1a351","abstract_canon_sha256":"7e68b73e9d1e536032ca6a42edf07b93e82910b18b79c8265938461a983daf9f"},"schema_version":"1.0"},"canonical_sha256":"668813a9abbb20e69a0ea1d22d5db9e749f4e8cbefb3270b0210e3d8859abf8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:38:35.175892Z","signature_b64":"mRpXAObUZCc6MecyYW8QMJIkUs8HfJnzUk/arS9ss3AAmhQJCuRzs3vp/7xhv1XfTcyPoR3RO/43JW2KhB1TAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"668813a9abbb20e69a0ea1d22d5db9e749f4e8cbefb3270b0210e3d8859abf8e","last_reissued_at":"2026-07-05T09:38:35.175493Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:38:35.175493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.13662","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":"2026-07-05T09:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"08iNf7ODse/hBw+6dC1L4Dm02/6/vc2OiThfZ+cxDBnO/O8fRKz0dwGWcIRLywEI/xZNt/YNJfD/+DYzlpkCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:26:36.440030Z"},"content_sha256":"08b599203a399c4a6b1b155d62761fcd0d5421fcc7e26d89be042cf2b222b4d3","schema_version":"1.0","event_id":"sha256:08b599203a399c4a6b1b155d62761fcd0d5421fcc7e26d89be042cf2b222b4d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:M2EBHKNLXMQONGQOUHJC2XNZ45","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Logarithmic geometry beyond fs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jakob Stix, Katharina H\\\"ubner, Marcin Lara, Piotr Achinger","submitted_at":"2024-11-20T19:10:20Z","abstract_excerpt":"We develop the foundations of logarithmic structures beyond the standard finiteness conditions. The motivation is the study of semistable models over general valuation rings. The key new notion is that of a morphism of finite presentation up to saturation (sfp), which is one that is qcqs and which is locally isomorphic to the saturated base change of a finitely presented morphism between fs log schemes. As in the case of schemes, sfp maps can (locally on the base) be approximated by maps between fs log schemes of finite type over $\\mathbb{Z}$. Based on sfp maps, we define smooth, \\'etale, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13662","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/2411.13662/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":"2026-07-05T09:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ZH8Q5Xi3Lk4dneoOnvxgJTPFeRrekXC0NPgzyMr7dmiGaW0bTQdZ+S5Z7AwpGPJQZZg+wrdWHGJvNQ6LRCkCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:26:36.440529Z"},"content_sha256":"f7255dac0ba92f6469c3ebe52c8a32396692fb154162e9369678217757e8e3fd","schema_version":"1.0","event_id":"sha256:f7255dac0ba92f6469c3ebe52c8a32396692fb154162e9369678217757e8e3fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M2EBHKNLXMQONGQOUHJC2XNZ45/bundle.json","state_url":"https://pith.science/pith/M2EBHKNLXMQONGQOUHJC2XNZ45/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M2EBHKNLXMQONGQOUHJC2XNZ45/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":"2026-08-12T03:26:36Z","links":{"resolver":"https://pith.science/pith/M2EBHKNLXMQONGQOUHJC2XNZ45","bundle":"https://pith.science/pith/M2EBHKNLXMQONGQOUHJC2XNZ45/bundle.json","state":"https://pith.science/pith/M2EBHKNLXMQONGQOUHJC2XNZ45/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M2EBHKNLXMQONGQOUHJC2XNZ45/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:M2EBHKNLXMQONGQOUHJC2XNZ45","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":"7e68b73e9d1e536032ca6a42edf07b93e82910b18b79c8265938461a983daf9f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-20T19:10:20Z","title_canon_sha256":"f510d504ca3ce3440e82e6bad8fcf471445da574155866ee3d0a4d42def1a351"},"schema_version":"1.0","source":{"id":"2411.13662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13662","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13662v1","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13662","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"M2EBHKNLXMQO","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"pith_short_16","alias_value":"M2EBHKNLXMQONGQO","created_at":"2026-07-05T09:38:35Z"},{"alias_kind":"pith_short_8","alias_value":"M2EBHKNL","created_at":"2026-07-05T09:38:35Z"}],"graph_snapshots":[{"event_id":"sha256:f7255dac0ba92f6469c3ebe52c8a32396692fb154162e9369678217757e8e3fd","target":"graph","created_at":"2026-07-05T09:38:35Z","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/2411.13662/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop the foundations of logarithmic structures beyond the standard finiteness conditions. The motivation is the study of semistable models over general valuation rings. The key new notion is that of a morphism of finite presentation up to saturation (sfp), which is one that is qcqs and which is locally isomorphic to the saturated base change of a finitely presented morphism between fs log schemes. As in the case of schemes, sfp maps can (locally on the base) be approximated by maps between fs log schemes of finite type over $\\mathbb{Z}$. Based on sfp maps, we define smooth, \\'etale, and ","authors_text":"Jakob Stix, Katharina H\\\"ubner, Marcin Lara, Piotr Achinger","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-20T19:10:20Z","title":"Logarithmic geometry beyond fs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13662","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":"sha256:08b599203a399c4a6b1b155d62761fcd0d5421fcc7e26d89be042cf2b222b4d3","target":"record","created_at":"2026-07-05T09:38:35Z","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":"7e68b73e9d1e536032ca6a42edf07b93e82910b18b79c8265938461a983daf9f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-11-20T19:10:20Z","title_canon_sha256":"f510d504ca3ce3440e82e6bad8fcf471445da574155866ee3d0a4d42def1a351"},"schema_version":"1.0","source":{"id":"2411.13662","kind":"arxiv","version":1}},"canonical_sha256":"668813a9abbb20e69a0ea1d22d5db9e749f4e8cbefb3270b0210e3d8859abf8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"668813a9abbb20e69a0ea1d22d5db9e749f4e8cbefb3270b0210e3d8859abf8e","first_computed_at":"2026-07-05T09:38:35.175493Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:38:35.175493Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mRpXAObUZCc6MecyYW8QMJIkUs8HfJnzUk/arS9ss3AAmhQJCuRzs3vp/7xhv1XfTcyPoR3RO/43JW2KhB1TAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:38:35.175892Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08b599203a399c4a6b1b155d62761fcd0d5421fcc7e26d89be042cf2b222b4d3","sha256:f7255dac0ba92f6469c3ebe52c8a32396692fb154162e9369678217757e8e3fd"],"state_sha256":"d0830b15b3a3ef8dbadb23f8d68c421d7730f7a8b5933b1916e17b235b07476d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"auuSHDGISfkFXTDC8KC5uybOs9uDJu/ys9tOLTWoK3M3GrYUxvubRrIidK+DdDUkB9ixJR2F5+bzYVelWsT8AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T03:26:36.445937Z","bundle_sha256":"b51a162e2716c9f413e0dbe68a0f6a980bc421a0176eb12c327be7588b6e3feb"}}