{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:76ULKBO2E5VRBGSONTSNX26MB7","short_pith_number":"pith:76ULKBO2","canonical_record":{"source":{"id":"hep-th/9305131","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-05-25T06:47:12Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"3344224441473d36ec846f9af88839f8c7e1c14d2a9b3237f331b7b4d610d4f8","abstract_canon_sha256":"be8d910f728de9867a3b6909069e3eb261ef4b3c5fb55c4c7b97c973056f1038"},"schema_version":"1.0"},"canonical_sha256":"ffa8b505da276b109a4e6ce4dbebcc0fdfc8625f7f7b5e5c9a22f69f2313554a","source":{"kind":"arxiv","id":"hep-th/9305131","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9305131","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9305131v1","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9305131","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"pith_short_12","alias_value":"76ULKBO2E5VR","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"pith_short_16","alias_value":"76ULKBO2E5VRBGSO","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"pith_short_8","alias_value":"76ULKBO2","created_at":"2026-07-04T15:56:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:76ULKBO2E5VRBGSONTSNX26MB7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9305131","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1993-05-25T06:47:12Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"3344224441473d36ec846f9af88839f8c7e1c14d2a9b3237f331b7b4d610d4f8","abstract_canon_sha256":"be8d910f728de9867a3b6909069e3eb261ef4b3c5fb55c4c7b97c973056f1038"},"schema_version":"1.0"},"canonical_sha256":"ffa8b505da276b109a4e6ce4dbebcc0fdfc8625f7f7b5e5c9a22f69f2313554a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:56:14.072796Z","signature_b64":"pNoVg+0eP5Wi7LAkvWOcqGMhnQFkWp6Hb5CnOCeFkBYNtxYFujKKLf8/Js79+MLlKqNbVHh60MqIgfil+UQhAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffa8b505da276b109a4e6ce4dbebcc0fdfc8625f7f7b5e5c9a22f69f2313554a","last_reissued_at":"2026-07-04T15:56:14.072381Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:56:14.072381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9305131","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:56:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mDCVSpdRu6TWs0VNTK37dLmqhwzwYgmzGtMvc/uCS3qDErfRu0VUBURq8aF9FszA33JB5Td52M+hVE4K0EelBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T19:11:26.263308Z"},"content_sha256":"7809e2673ccc431b004d1208a7fd4a2448d978b3fa3ee866b4214f089d794194","schema_version":"1.0","event_id":"sha256:7809e2673ccc431b004d1208a7fd4a2448d978b3fa3ee866b4214f089d794194"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:76ULKBO2E5VRBGSONTSNX26MB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polylogarithm Identities in a Conformal Field Theory in Three Dimensions","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"Subir Sachdev","submitted_at":"1993-05-25T06:47:12Z","abstract_excerpt":"The $N=\\infty$ vector $O(N)$ model is a solvable, interacting field theory in three dimensions ($D$). In a recent paper with A. Chubukov and J. Ye~\\cite{self}, we have computed a universal number, $\\tilde{c}$, characterizing the size dependence of the free energy at the conformally-invariant critical point of this theory. The result~\\cite{self} for $\\tilde{c}$ can be expressed in terms of polylogarithms. Here, we use non-trivial polylogarithm identities to show that $\\tilde{c}/N = 4/5$, a rational number; this result is curiously parallel to recent work on dilogarithm identities in $D=2$ confo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9305131","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/9305131/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":"2026-07-04T15:56:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j15k0Pc3iAfXHTaEhp8qVXKBYcB1kkPhSkV+8vNwPOqjNXRNzYJTMQ1vPNFecobjK8duGW8Tkg1aW2buWPe0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T19:11:26.263845Z"},"content_sha256":"f2d00436040757977e1e79edb82ca90ee89dc41ad270454de6ea74ef7fbb1219","schema_version":"1.0","event_id":"sha256:f2d00436040757977e1e79edb82ca90ee89dc41ad270454de6ea74ef7fbb1219"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/76ULKBO2E5VRBGSONTSNX26MB7/bundle.json","state_url":"https://pith.science/pith/76ULKBO2E5VRBGSONTSNX26MB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/76ULKBO2E5VRBGSONTSNX26MB7/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":"2026-08-01T19:11:26Z","links":{"resolver":"https://pith.science/pith/76ULKBO2E5VRBGSONTSNX26MB7","bundle":"https://pith.science/pith/76ULKBO2E5VRBGSONTSNX26MB7/bundle.json","state":"https://pith.science/pith/76ULKBO2E5VRBGSONTSNX26MB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/76ULKBO2E5VRBGSONTSNX26MB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:76ULKBO2E5VRBGSONTSNX26MB7","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":"be8d910f728de9867a3b6909069e3eb261ef4b3c5fb55c4c7b97c973056f1038","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"1993-05-25T06:47:12Z","title_canon_sha256":"3344224441473d36ec846f9af88839f8c7e1c14d2a9b3237f331b7b4d610d4f8"},"schema_version":"1.0","source":{"id":"hep-th/9305131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9305131","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9305131v1","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9305131","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"pith_short_12","alias_value":"76ULKBO2E5VR","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"pith_short_16","alias_value":"76ULKBO2E5VRBGSO","created_at":"2026-07-04T15:56:14Z"},{"alias_kind":"pith_short_8","alias_value":"76ULKBO2","created_at":"2026-07-04T15:56:14Z"}],"graph_snapshots":[{"event_id":"sha256:f2d00436040757977e1e79edb82ca90ee89dc41ad270454de6ea74ef7fbb1219","target":"graph","created_at":"2026-07-04T15:56:14Z","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/hep-th/9305131/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $N=\\infty$ vector $O(N)$ model is a solvable, interacting field theory in three dimensions ($D$). In a recent paper with A. Chubukov and J. Ye~\\cite{self}, we have computed a universal number, $\\tilde{c}$, characterizing the size dependence of the free energy at the conformally-invariant critical point of this theory. The result~\\cite{self} for $\\tilde{c}$ can be expressed in terms of polylogarithms. Here, we use non-trivial polylogarithm identities to show that $\\tilde{c}/N = 4/5$, a rational number; this result is curiously parallel to recent work on dilogarithm identities in $D=2$ confo","authors_text":"Subir Sachdev","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-05-25T06:47:12Z","title":"Polylogarithm Identities in a Conformal Field Theory in Three Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9305131","kind":"arxiv","version":1},"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":"sha256:7809e2673ccc431b004d1208a7fd4a2448d978b3fa3ee866b4214f089d794194","target":"record","created_at":"2026-07-04T15:56:14Z","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":"be8d910f728de9867a3b6909069e3eb261ef4b3c5fb55c4c7b97c973056f1038","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"1993-05-25T06:47:12Z","title_canon_sha256":"3344224441473d36ec846f9af88839f8c7e1c14d2a9b3237f331b7b4d610d4f8"},"schema_version":"1.0","source":{"id":"hep-th/9305131","kind":"arxiv","version":1}},"canonical_sha256":"ffa8b505da276b109a4e6ce4dbebcc0fdfc8625f7f7b5e5c9a22f69f2313554a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffa8b505da276b109a4e6ce4dbebcc0fdfc8625f7f7b5e5c9a22f69f2313554a","first_computed_at":"2026-07-04T15:56:14.072381Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:56:14.072381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pNoVg+0eP5Wi7LAkvWOcqGMhnQFkWp6Hb5CnOCeFkBYNtxYFujKKLf8/Js79+MLlKqNbVHh60MqIgfil+UQhAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:56:14.072796Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9305131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7809e2673ccc431b004d1208a7fd4a2448d978b3fa3ee866b4214f089d794194","sha256:f2d00436040757977e1e79edb82ca90ee89dc41ad270454de6ea74ef7fbb1219"],"state_sha256":"17ded8e37c41a9e9a471772669bcb2dcf0c1217886673671573970434b6df442"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EqTPrAtzGIFazIdD0dStC8+DaojiurMkRyNMPj+iwiupBFbZ0+HpoijuMIjB2SU/pplW0Qx4DLjRGn9hrXHQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T19:11:26.267485Z","bundle_sha256":"b1dda89b3f902062165d00198bd5430d5ac382e3d221198a51c228e60d3913a5"}}