{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JKZ32FQZALRJI7V4E5NHZBQFAK","short_pith_number":"pith:JKZ32FQZ","schema_version":"1.0","canonical_sha256":"4ab3bd161902e2947ebc275a7c860502a35d49e1c195d343bad7ce0cb21512fe","source":{"kind":"arxiv","id":"2607.12693","version":1},"attestation_state":"computed","paper":{"title":"Shock solutions for the one-dimensional information geometric regularization of compressible flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ben S. Southworth, Brian K. Tran, Florian Sch\\\"afer, William Barham","submitted_at":"2026-07-14T12:21:10Z","abstract_excerpt":"The information geometric regularization (IGR) is an inviscid regularization of the compressible Euler equations that alters the geometry of Lagrangian characteristics to prevent trajectories from crossing in finite time. Previous work on IGR established global strong solutions in one dimension, explored thermodynamic effects of the model, and enabled large-scale simulations of compressible flow. However, a fundamental question that remains is how this regularization alters the structure and regularity of a shock-like solution.\n  We prove existence, uniqueness modulo translation, and regularit"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.12693","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-07-14T12:21:10Z","cross_cats_sorted":[],"title_canon_sha256":"dc5a1e14d8c59fe736230794bf73b2579bb0a81fa4e2d8264a587b01863e03c9","abstract_canon_sha256":"e02c3ca3eeba6506b48c4cbe75f05bc160a8cd560f2763a37b45de721567b62c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-15T01:22:12.467739Z","signature_b64":"fKRbx494MyVebwHBjJj9aaUZXUndvkKcmKnruX9IYNGiHEXcHAFtdlViobSb1xfecsBXUlBqyn2VaaSdODzFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ab3bd161902e2947ebc275a7c860502a35d49e1c195d343bad7ce0cb21512fe","last_reissued_at":"2026-07-15T01:22:12.466915Z","signature_status":"signed_v1","first_computed_at":"2026-07-15T01:22:12.466915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shock solutions for the one-dimensional information geometric regularization of compressible flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ben S. Southworth, Brian K. Tran, Florian Sch\\\"afer, William Barham","submitted_at":"2026-07-14T12:21:10Z","abstract_excerpt":"The information geometric regularization (IGR) is an inviscid regularization of the compressible Euler equations that alters the geometry of Lagrangian characteristics to prevent trajectories from crossing in finite time. Previous work on IGR established global strong solutions in one dimension, explored thermodynamic effects of the model, and enabled large-scale simulations of compressible flow. However, a fundamental question that remains is how this regularization alters the structure and regularity of a shock-like solution.\n  We prove existence, uniqueness modulo translation, and regularit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.12693","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/2607.12693/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.12693","created_at":"2026-07-15T01:22:12.467346+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.12693v1","created_at":"2026-07-15T01:22:12.467346+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.12693","created_at":"2026-07-15T01:22:12.467346+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKZ32FQZALRJ","created_at":"2026-07-15T01:22:12.467346+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKZ32FQZALRJI7V4","created_at":"2026-07-15T01:22:12.467346+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKZ32FQZ","created_at":"2026-07-15T01:22:12.467346+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.09759","citing_title":"Information geometric regularization for computing sensitivities of flows with shocks","ref_index":3,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK","json":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK.json","graph_json":"https://pith.science/api/pith-number/JKZ32FQZALRJI7V4E5NHZBQFAK/graph.json","events_json":"https://pith.science/api/pith-number/JKZ32FQZALRJI7V4E5NHZBQFAK/events.json","paper":"https://pith.science/paper/JKZ32FQZ"},"agent_actions":{"view_html":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK","download_json":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK.json","view_paper":"https://pith.science/paper/JKZ32FQZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.12693&json=true","fetch_graph":"https://pith.science/api/pith-number/JKZ32FQZALRJI7V4E5NHZBQFAK/graph.json","fetch_events":"https://pith.science/api/pith-number/JKZ32FQZALRJI7V4E5NHZBQFAK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK/action/storage_attestation","attest_author":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK/action/author_attestation","sign_citation":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK/action/citation_signature","submit_replication":"https://pith.science/pith/JKZ32FQZALRJI7V4E5NHZBQFAK/action/replication_record"}},"created_at":"2026-07-15T01:22:12.467346+00:00","updated_at":"2026-07-15T01:22:12.467346+00:00"}