{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ROIVHAVQ4ZUNU3VMDQ3UBEFXAJ","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":"eec164e403966b2dcf3f7cd82fdfad76f0a2ac2cab5d9b9fb22448f13cba673e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2024-01-07T04:29:29Z","title_canon_sha256":"5dc0070d43d7cbed0e880312cf802e1651ff9e1e144d740e235149a5fab12833"},"schema_version":"1.0","source":{"id":"2401.03383","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.03383","created_at":"2026-05-20T00:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"2401.03383v4","created_at":"2026-05-20T00:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.03383","created_at":"2026-05-20T00:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"ROIVHAVQ4ZUN","created_at":"2026-05-20T00:02:02Z"},{"alias_kind":"pith_short_16","alias_value":"ROIVHAVQ4ZUNU3VM","created_at":"2026-05-20T00:02:02Z"},{"alias_kind":"pith_short_8","alias_value":"ROIVHAVQ","created_at":"2026-05-20T00:02:02Z"}],"graph_snapshots":[{"event_id":"sha256:51d935d2c1416f7c775af29e11ff308e85d0db7234ad893fbf373396aec67475","target":"graph","created_at":"2026-05-20T00:02:02Z","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/2401.03383/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The symmetric edge polytope (SEP) of a (finite, undirected) graph is a centrally symmetric lattice polytope whose vertices are defined by the edges of the graph. SEPs have been studied extensively in the past twenty years. Recently, T\\'othm\\'er\\'esz and, independently, D'Al\\'i, Juhnke-Kubitzke, and Koch generalized the definition of an SEP to regular matroids, which are the matroids that can be represented by totally unimodular matrices. Generalized SEPs are known to have symmetric Ehrhart $h^*$-polynomials, and Ohsugi and Tsuchiya conjectured that (ordinary) SEPs have nonnegative $\\gamma$-vec","authors_text":"Akihiro Higashitani, Hidefumi Ohsugi, Robert Davis","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2024-01-07T04:29:29Z","title":"On the Ehrhart Theory of Generalized Symmetric Edge Polytopes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.03383","kind":"arxiv","version":4},"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:a7c2732712d19c2d88466b82772dd1ded6620030c60dfda04618dc9a0fe3e8db","target":"record","created_at":"2026-05-20T00:02:02Z","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":"eec164e403966b2dcf3f7cd82fdfad76f0a2ac2cab5d9b9fb22448f13cba673e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2024-01-07T04:29:29Z","title_canon_sha256":"5dc0070d43d7cbed0e880312cf802e1651ff9e1e144d740e235149a5fab12833"},"schema_version":"1.0","source":{"id":"2401.03383","kind":"arxiv","version":4}},"canonical_sha256":"8b915382b0e668da6eac1c374090b7024e9b02b8cdb0557e5b1583edbe0f386f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b915382b0e668da6eac1c374090b7024e9b02b8cdb0557e5b1583edbe0f386f","first_computed_at":"2026-05-20T00:02:02.471750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:02.471750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FZDMfsmttQBKW0/Z9GC9TNW+A4vPizE2R5tGvOQyvcHJXSeSVHJPV/pXu0QKIWs786ZKQbC3jBZI80cGvc/uCA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:02.472565Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.03383","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7c2732712d19c2d88466b82772dd1ded6620030c60dfda04618dc9a0fe3e8db","sha256:51d935d2c1416f7c775af29e11ff308e85d0db7234ad893fbf373396aec67475"],"state_sha256":"e99ab23aa98d216fc79c05f474a116d8d058c27590c5938d5222e67c42587f90"}