{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:Q5HFB5FZNSXSPVCB57J7QGGOPY","short_pith_number":"pith:Q5HFB5FZ","canonical_record":{"source":{"id":"2510.06704","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-08T06:58:29Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"9759df1b22a9ce73a72dd9baa50c1ed4f70304797fa137c6f16e8878e9da9a13","abstract_canon_sha256":"f24b4bae2dc4dec38414e5d6a6c233661d80300b4e919848ee96c7db72bb0424"},"schema_version":"1.0"},"canonical_sha256":"874e50f4b96caf27d441efd3f818ce7e2d87e493718bd343149233e523a439f2","source":{"kind":"arxiv","id":"2510.06704","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.06704","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"arxiv_version","alias_value":"2510.06704v2","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.06704","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"pith_short_12","alias_value":"Q5HFB5FZNSXS","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"pith_short_16","alias_value":"Q5HFB5FZNSXSPVCB","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"pith_short_8","alias_value":"Q5HFB5FZ","created_at":"2026-07-02T01:17:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:Q5HFB5FZNSXSPVCB57J7QGGOPY","target":"record","payload":{"canonical_record":{"source":{"id":"2510.06704","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-08T06:58:29Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"9759df1b22a9ce73a72dd9baa50c1ed4f70304797fa137c6f16e8878e9da9a13","abstract_canon_sha256":"f24b4bae2dc4dec38414e5d6a6c233661d80300b4e919848ee96c7db72bb0424"},"schema_version":"1.0"},"canonical_sha256":"874e50f4b96caf27d441efd3f818ce7e2d87e493718bd343149233e523a439f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-02T01:17:24.763038Z","signature_b64":"0BqhEV0Jt4L98IQfrXnaVG5/4oCSOh6JOylcirPQusHE0h3NbRz24/FtLMMQon5S+Rmd7+aww43TPl44+EAaCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"874e50f4b96caf27d441efd3f818ce7e2d87e493718bd343149233e523a439f2","last_reissued_at":"2026-07-02T01:17:24.762534Z","signature_status":"signed_v1","first_computed_at":"2026-07-02T01:17:24.762534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2510.06704","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-02T01:17:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zo6Mwu8xa5SPjOJmNiBcNUNsFwMmbOh+ykmQlqIc4yRrDdvr4zJYr18EARt5ouDuzW9rxytKkaiTG3a+KEQqCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:43:23.787711Z"},"content_sha256":"8d4200f933ee131fce3caccfbe098409a56e19bccb4a4a40f5c50da488b94db4","schema_version":"1.0","event_id":"sha256:8d4200f933ee131fce3caccfbe098409a56e19bccb4a4a40f5c50da488b94db4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:Q5HFB5FZNSXSPVCB57J7QGGOPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bootstrapping Yang-Mills matrix integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Wenliang Li, Xinran Su","submitted_at":"2025-10-08T06:58:29Z","abstract_excerpt":"We revisit the large $N$ limit of bosonic $D$-matrix Yang-Mills integrals using two complementary bootstrap methods. In the positivity bootstrap, we obtain bounds for $\\langle \\text{tr} XX \\rangle$ and $\\langle \\text{tr} XXXX \\rangle$ at various length cutoffs $L_{\\max}$. For $D=3$, we do not find an isolated region until $L_{\\max}=12$. For larger $D$, the allowed regions become islands at $L_{\\max}=8$ and shrink rapidly as $L_{\\max}$ increases. The precision of some $L_{\\max}=12$ islands is comparable to that of Monte Carlo estimates. For a fixed $L_{\\max}$, the allowed region also shrinks wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.06704","kind":"arxiv","version":2},"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/2510.06704/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":"2026-07-02T01:17:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Et3clbQ2ZcNPWsNHq2ZyYAGKmAFSAsh/VvPNskBFXE4wHfch03OONB8lSWh+goqSOWuW1pn1Baez7IEBgleIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:43:23.788082Z"},"content_sha256":"5db5bd0a7a2cbd8ffb87acd1787f13e1a35d0f898d5385509756c084e2393538","schema_version":"1.0","event_id":"sha256:5db5bd0a7a2cbd8ffb87acd1787f13e1a35d0f898d5385509756c084e2393538"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5HFB5FZNSXSPVCB57J7QGGOPY/bundle.json","state_url":"https://pith.science/pith/Q5HFB5FZNSXSPVCB57J7QGGOPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5HFB5FZNSXSPVCB57J7QGGOPY/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":"2026-07-02T20:43:23Z","links":{"resolver":"https://pith.science/pith/Q5HFB5FZNSXSPVCB57J7QGGOPY","bundle":"https://pith.science/pith/Q5HFB5FZNSXSPVCB57J7QGGOPY/bundle.json","state":"https://pith.science/pith/Q5HFB5FZNSXSPVCB57J7QGGOPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5HFB5FZNSXSPVCB57J7QGGOPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Q5HFB5FZNSXSPVCB57J7QGGOPY","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":"f24b4bae2dc4dec38414e5d6a6c233661d80300b4e919848ee96c7db72bb0424","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-08T06:58:29Z","title_canon_sha256":"9759df1b22a9ce73a72dd9baa50c1ed4f70304797fa137c6f16e8878e9da9a13"},"schema_version":"1.0","source":{"id":"2510.06704","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.06704","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"arxiv_version","alias_value":"2510.06704v2","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.06704","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"pith_short_12","alias_value":"Q5HFB5FZNSXS","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"pith_short_16","alias_value":"Q5HFB5FZNSXSPVCB","created_at":"2026-07-02T01:17:24Z"},{"alias_kind":"pith_short_8","alias_value":"Q5HFB5FZ","created_at":"2026-07-02T01:17:24Z"}],"graph_snapshots":[{"event_id":"sha256:5db5bd0a7a2cbd8ffb87acd1787f13e1a35d0f898d5385509756c084e2393538","target":"graph","created_at":"2026-07-02T01:17:24Z","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/2510.06704/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the large $N$ limit of bosonic $D$-matrix Yang-Mills integrals using two complementary bootstrap methods. In the positivity bootstrap, we obtain bounds for $\\langle \\text{tr} XX \\rangle$ and $\\langle \\text{tr} XXXX \\rangle$ at various length cutoffs $L_{\\max}$. For $D=3$, we do not find an isolated region until $L_{\\max}=12$. For larger $D$, the allowed regions become islands at $L_{\\max}=8$ and shrink rapidly as $L_{\\max}$ increases. The precision of some $L_{\\max}=12$ islands is comparable to that of Monte Carlo estimates. For a fixed $L_{\\max}$, the allowed region also shrinks wi","authors_text":"Wenliang Li, Xinran Su","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-08T06:58:29Z","title":"Bootstrapping Yang-Mills matrix integrals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.06704","kind":"arxiv","version":2},"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":"sha256:8d4200f933ee131fce3caccfbe098409a56e19bccb4a4a40f5c50da488b94db4","target":"record","created_at":"2026-07-02T01:17:24Z","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":"f24b4bae2dc4dec38414e5d6a6c233661d80300b4e919848ee96c7db72bb0424","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-10-08T06:58:29Z","title_canon_sha256":"9759df1b22a9ce73a72dd9baa50c1ed4f70304797fa137c6f16e8878e9da9a13"},"schema_version":"1.0","source":{"id":"2510.06704","kind":"arxiv","version":2}},"canonical_sha256":"874e50f4b96caf27d441efd3f818ce7e2d87e493718bd343149233e523a439f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"874e50f4b96caf27d441efd3f818ce7e2d87e493718bd343149233e523a439f2","first_computed_at":"2026-07-02T01:17:24.762534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T01:17:24.762534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0BqhEV0Jt4L98IQfrXnaVG5/4oCSOh6JOylcirPQusHE0h3NbRz24/FtLMMQon5S+Rmd7+aww43TPl44+EAaCQ==","signature_status":"signed_v1","signed_at":"2026-07-02T01:17:24.763038Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.06704","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d4200f933ee131fce3caccfbe098409a56e19bccb4a4a40f5c50da488b94db4","sha256:5db5bd0a7a2cbd8ffb87acd1787f13e1a35d0f898d5385509756c084e2393538"],"state_sha256":"aeeecc2f39574d4ec2fd8f012b0239ac1c56fd367aa7a27674b073e9f27c91eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IocurXWkiVWrnKw+KL/VDj1wzE0+kBTaxtJoi7oTt7/rJcvR3gpEOB5AayLZKlIyG4qZSSKsPsf7sou7N1pmBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:43:23.790140Z","bundle_sha256":"b1f2205db1e96caf2f6fdc7f91ef6ce37ccd5fc66cdb18c1b0f05ff39bc5106b"}}