{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IGQRSJKBEATGVVCYAYIK752KBC","short_pith_number":"pith:IGQRSJKB","canonical_record":{"source":{"id":"2603.29610","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-31T11:31:13Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"818b7b84aa6a93a5cd176b25ea8aab6e48d02176eaf8129b6810e9f18351a4bd","abstract_canon_sha256":"730eeaaf53135bba33fbcbb869d7fece4190ea7206c8814515e1174140ff6ffa"},"schema_version":"1.0"},"canonical_sha256":"41a119254120266ad4580610aff74a088759c0c3d6183415ab21905e36b846a9","source":{"kind":"arxiv","id":"2603.29610","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.29610","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"arxiv_version","alias_value":"2603.29610v2","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.29610","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"pith_short_12","alias_value":"IGQRSJKBEATG","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"pith_short_16","alias_value":"IGQRSJKBEATGVVCY","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"pith_short_8","alias_value":"IGQRSJKB","created_at":"2026-07-17T01:21:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IGQRSJKBEATGVVCYAYIK752KBC","target":"record","payload":{"canonical_record":{"source":{"id":"2603.29610","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-31T11:31:13Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"818b7b84aa6a93a5cd176b25ea8aab6e48d02176eaf8129b6810e9f18351a4bd","abstract_canon_sha256":"730eeaaf53135bba33fbcbb869d7fece4190ea7206c8814515e1174140ff6ffa"},"schema_version":"1.0"},"canonical_sha256":"41a119254120266ad4580610aff74a088759c0c3d6183415ab21905e36b846a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T01:21:48.422085Z","signature_b64":"jwGlDCysj3PUmlsZn+pn6Jdt1P8R3MGWd4qTKH4DWS49MnLyC67nq+t0+6QZl7Bnc7tj2bxLmWOxPZK3CokgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41a119254120266ad4580610aff74a088759c0c3d6183415ab21905e36b846a9","last_reissued_at":"2026-07-17T01:21:48.421211Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T01:21:48.421211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.29610","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":"2026-07-17T01:21:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GPJuGlxYWg3iMNbFYwz7Nn2a7eCuJpU2KkstU56WkSRnM5kt/TqXwCyqhwh7acEARkZTpsswggyeOmq9/91pBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T04:33:47.119442Z"},"content_sha256":"f2f6553a05c9ef75ec33e540dc0ea8652e006fc7a31be2b121ac7654ed73d9e8","schema_version":"1.0","event_id":"sha256:f2f6553a05c9ef75ec33e540dc0ea8652e006fc7a31be2b121ac7654ed73d9e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IGQRSJKBEATGVVCYAYIK752KBC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical dimensions and small cycle dominance from all-orders asymptotics of $d$-matrix theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"hep-th","authors_text":"Sanjaye Ramgoolam, Yang Lei","submitted_at":"2026-03-31T11:31:13Z","abstract_excerpt":"Supersymmetric sectors of $\\mathcal{N}=4$ super-Yang-Mills theory motivate the study of the partition function for the counting of gauge-invariant functions of $d=2,3$ matrices transforming under the adjoint action of $U(N)$. The partition function $ \\mathcal{Z}_d ( x) $ in the large $N$ limit has a known Hagedorn phase transition at $ x = d^{-1} $ which provides a simple model for the phase structure of the thermal partition function of SYM. We study the all-orders asymptotic expansion of $ \\mathcal{Z}_d(x)$ based on a geometric picture of concentric circles of poles in the complex plane accu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.29610","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/2603.29610/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":"2026-07-17T01:21:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"92IM3UnmpB6z6a39mrAhWjBB8thIG9auinYe6a7E6whTPjD4LgRSX2JIhGNrpOWGSPP4tw4HR1+PYSwKyrzQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T04:33:47.120285Z"},"content_sha256":"119373947ccdebc3b41f4d6be3f53e6a3f8df691e84505765ee07d1871c710b2","schema_version":"1.0","event_id":"sha256:119373947ccdebc3b41f4d6be3f53e6a3f8df691e84505765ee07d1871c710b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IGQRSJKBEATGVVCYAYIK752KBC/bundle.json","state_url":"https://pith.science/pith/IGQRSJKBEATGVVCYAYIK752KBC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IGQRSJKBEATGVVCYAYIK752KBC/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":"2026-08-03T04:33:47Z","links":{"resolver":"https://pith.science/pith/IGQRSJKBEATGVVCYAYIK752KBC","bundle":"https://pith.science/pith/IGQRSJKBEATGVVCYAYIK752KBC/bundle.json","state":"https://pith.science/pith/IGQRSJKBEATGVVCYAYIK752KBC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IGQRSJKBEATGVVCYAYIK752KBC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IGQRSJKBEATGVVCYAYIK752KBC","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":"730eeaaf53135bba33fbcbb869d7fece4190ea7206c8814515e1174140ff6ffa","cross_cats_sorted":["math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-31T11:31:13Z","title_canon_sha256":"818b7b84aa6a93a5cd176b25ea8aab6e48d02176eaf8129b6810e9f18351a4bd"},"schema_version":"1.0","source":{"id":"2603.29610","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.29610","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"arxiv_version","alias_value":"2603.29610v2","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.29610","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"pith_short_12","alias_value":"IGQRSJKBEATG","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"pith_short_16","alias_value":"IGQRSJKBEATGVVCY","created_at":"2026-07-17T01:21:48Z"},{"alias_kind":"pith_short_8","alias_value":"IGQRSJKB","created_at":"2026-07-17T01:21:48Z"}],"graph_snapshots":[{"event_id":"sha256:119373947ccdebc3b41f4d6be3f53e6a3f8df691e84505765ee07d1871c710b2","target":"graph","created_at":"2026-07-17T01:21:48Z","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/2603.29610/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Supersymmetric sectors of $\\mathcal{N}=4$ super-Yang-Mills theory motivate the study of the partition function for the counting of gauge-invariant functions of $d=2,3$ matrices transforming under the adjoint action of $U(N)$. The partition function $ \\mathcal{Z}_d ( x) $ in the large $N$ limit has a known Hagedorn phase transition at $ x = d^{-1} $ which provides a simple model for the phase structure of the thermal partition function of SYM. We study the all-orders asymptotic expansion of $ \\mathcal{Z}_d(x)$ based on a geometric picture of concentric circles of poles in the complex plane accu","authors_text":"Sanjaye Ramgoolam, Yang Lei","cross_cats":["math.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-31T11:31:13Z","title":"Critical dimensions and small cycle dominance from all-orders asymptotics of $d$-matrix theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.29610","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:f2f6553a05c9ef75ec33e540dc0ea8652e006fc7a31be2b121ac7654ed73d9e8","target":"record","created_at":"2026-07-17T01:21:48Z","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":"730eeaaf53135bba33fbcbb869d7fece4190ea7206c8814515e1174140ff6ffa","cross_cats_sorted":["math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-03-31T11:31:13Z","title_canon_sha256":"818b7b84aa6a93a5cd176b25ea8aab6e48d02176eaf8129b6810e9f18351a4bd"},"schema_version":"1.0","source":{"id":"2603.29610","kind":"arxiv","version":2}},"canonical_sha256":"41a119254120266ad4580610aff74a088759c0c3d6183415ab21905e36b846a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41a119254120266ad4580610aff74a088759c0c3d6183415ab21905e36b846a9","first_computed_at":"2026-07-17T01:21:48.421211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:21:48.421211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jwGlDCysj3PUmlsZn+pn6Jdt1P8R3MGWd4qTKH4DWS49MnLyC67nq+t0+6QZl7Bnc7tj2bxLmWOxPZK3CokgBA==","signature_status":"signed_v1","signed_at":"2026-07-17T01:21:48.422085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.29610","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2f6553a05c9ef75ec33e540dc0ea8652e006fc7a31be2b121ac7654ed73d9e8","sha256:119373947ccdebc3b41f4d6be3f53e6a3f8df691e84505765ee07d1871c710b2"],"state_sha256":"1870224c376752085167edf181dcc923cebc0819334880f766c5c1a0e33144b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A00MtHSNMFcgZlzFTZnJQp5cliO/CbXSKYwQwOX6pveKRhLbgdqyv0i0xAy+OCLwJVXPQcZghtUqomKabt8TDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T04:33:47.130832Z","bundle_sha256":"63bb6a13d8f910289b221c9e06cddeec1b6c659d18b69a4a1a34c72594faf6b0"}}