{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:GGVCRTKRGN22ENHMM2LWEIXIOY","short_pith_number":"pith:GGVCRTKR","schema_version":"1.0","canonical_sha256":"31aa28cd513375a234ec66976222e87600095bd010b64e27489675c127384e61","source":{"kind":"arxiv","id":"hep-th/9405158","version":1},"attestation_state":"computed","paper":{"title":"Large N limit of O(N) vector models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Henri Verschelde, Sigurd Schelstraete","submitted_at":"1994-05-25T08:40:28Z","abstract_excerpt":"Using a simple identity between various partial derivatives of the energy of the vector model in 0+0 dimensions, we derive explicit results for the coefficients of the large N expansion of the model. These coefficients are functions in a variable $\\rho^2$, which is the expectation value of the two point function in the limit $N=\\infty$. These functions are analytic and have only one (multiple) pole in $\\rho^2$. We show to all orders that these expressions obey a given general formula. Using this formula it is possible to derive the double scaling limit in an alternative way. All the results ob"},"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":"hep-th/9405158","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-05-25T08:40:28Z","cross_cats_sorted":[],"title_canon_sha256":"b2c9f73ea9f25c560a861f51b635e6b91493ceec3402462c186ab57f7efed6f5","abstract_canon_sha256":"b4e634f3c0633ea83b2ef496cb94209ffe170777e9831a7a3c7d6ae50911711c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:45.608610Z","signature_b64":"aovjA2AzdykkgoDvjux0Dxb/EfVN+ILrxzWDBLWs6jM2zhSK6NEbTHrqHI85KCwkvHpYcJo5C2Vue+nVupPOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31aa28cd513375a234ec66976222e87600095bd010b64e27489675c127384e61","last_reissued_at":"2026-07-04T15:57:45.608243Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:45.608243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large N limit of O(N) vector models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Henri Verschelde, Sigurd Schelstraete","submitted_at":"1994-05-25T08:40:28Z","abstract_excerpt":"Using a simple identity between various partial derivatives of the energy of the vector model in 0+0 dimensions, we derive explicit results for the coefficients of the large N expansion of the model. These coefficients are functions in a variable $\\rho^2$, which is the expectation value of the two point function in the limit $N=\\infty$. These functions are analytic and have only one (multiple) pole in $\\rho^2$. We show to all orders that these expressions obey a given general formula. Using this formula it is possible to derive the double scaling limit in an alternative way. All the results ob"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9405158","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/hep-th/9405158/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":"hep-th/9405158","created_at":"2026-07-04T15:57:45.608293+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9405158v1","created_at":"2026-07-04T15:57:45.608293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9405158","created_at":"2026-07-04T15:57:45.608293+00:00"},{"alias_kind":"pith_short_12","alias_value":"GGVCRTKRGN22","created_at":"2026-07-04T15:57:45.608293+00:00"},{"alias_kind":"pith_short_16","alias_value":"GGVCRTKRGN22ENHM","created_at":"2026-07-04T15:57:45.608293+00:00"},{"alias_kind":"pith_short_8","alias_value":"GGVCRTKR","created_at":"2026-07-04T15:57:45.608293+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY","json":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY.json","graph_json":"https://pith.science/api/pith-number/GGVCRTKRGN22ENHMM2LWEIXIOY/graph.json","events_json":"https://pith.science/api/pith-number/GGVCRTKRGN22ENHMM2LWEIXIOY/events.json","paper":"https://pith.science/paper/GGVCRTKR"},"agent_actions":{"view_html":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY","download_json":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY.json","view_paper":"https://pith.science/paper/GGVCRTKR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9405158&json=true","fetch_graph":"https://pith.science/api/pith-number/GGVCRTKRGN22ENHMM2LWEIXIOY/graph.json","fetch_events":"https://pith.science/api/pith-number/GGVCRTKRGN22ENHMM2LWEIXIOY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY/action/storage_attestation","attest_author":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY/action/author_attestation","sign_citation":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY/action/citation_signature","submit_replication":"https://pith.science/pith/GGVCRTKRGN22ENHMM2LWEIXIOY/action/replication_record"}},"created_at":"2026-07-04T15:57:45.608293+00:00","updated_at":"2026-07-04T15:57:45.608293+00:00"}