{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TLDVQHRMJPCH2DO2XYUOZM6EJN","short_pith_number":"pith:TLDVQHRM","canonical_record":{"source":{"id":"1604.07860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-26T21:19:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f357b8177313c6323861c11eecf904071fafed53702c23998bd53f4a869b4be7","abstract_canon_sha256":"cb0a5bda27d70295a579f79f78c8a6d38f9086e03daeac7e5762a76fd47c6ac2"},"schema_version":"1.0"},"canonical_sha256":"9ac7581e2c4bc47d0ddabe28ecb3c44b6c03b66a79d46f8988ab298a46cdfda6","source":{"kind":"arxiv","id":"1604.07860","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07860","created_at":"2026-05-18T01:16:08Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07860v1","created_at":"2026-05-18T01:16:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07860","created_at":"2026-05-18T01:16:08Z"},{"alias_kind":"pith_short_12","alias_value":"TLDVQHRMJPCH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLDVQHRMJPCH2DO2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLDVQHRM","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TLDVQHRMJPCH2DO2XYUOZM6EJN","target":"record","payload":{"canonical_record":{"source":{"id":"1604.07860","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-26T21:19:25Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f357b8177313c6323861c11eecf904071fafed53702c23998bd53f4a869b4be7","abstract_canon_sha256":"cb0a5bda27d70295a579f79f78c8a6d38f9086e03daeac7e5762a76fd47c6ac2"},"schema_version":"1.0"},"canonical_sha256":"9ac7581e2c4bc47d0ddabe28ecb3c44b6c03b66a79d46f8988ab298a46cdfda6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:08.816532Z","signature_b64":"yTEEiCeLSE5JRDEto44lrYDrxa12V7tWo4iwDMCfsqyluwYS4CzNnl4hL6o9ArNEZ+wpw88mOA9caaXQbpXbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ac7581e2c4bc47d0ddabe28ecb3c44b6c03b66a79d46f8988ab298a46cdfda6","last_reissued_at":"2026-05-18T01:16:08.815768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:08.815768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.07860","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":"2026-05-18T01:16:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5f5dBqudzXMalOH6RQ2xNTHxaRatmaqQYX4gGXnocmz6S4RLKmlOyTVPoftYfztUKDbzJmpo+s1YqVA/5glGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:59:26.430687Z"},"content_sha256":"80cfe749fcb4498499eb0e5782987f8f09e572dd88a96bc106d07f9444805904","schema_version":"1.0","event_id":"sha256:80cfe749fcb4498499eb0e5782987f8f09e572dd88a96bc106d07f9444805904"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TLDVQHRMJPCH2DO2XYUOZM6EJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Tensor Track, IV","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Vincent Rivasseau","submitted_at":"2016-04-26T21:19:25Z","abstract_excerpt":"This note is a sequel to the previous series \"Tensor Track I-III\". Assuming some familiarity with the tensor track approach to quantum gravity, we provide a brief introduction to the developments of the last two years and to their corresponding bibliography. They center around understanding the interface between random matrices and random tensors through the intermediate field representation, finding new types of $1/N$ expansions by enhancing sub-leading tensor interactions, exploring the renormalization group flows in the tensor theory space, and developing the constructive aspects of the the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07860","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":""},"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":"2026-05-18T01:16:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CgOgGEOCXJy2xE5QtUzhLH+2/kSGekPR9bGeRcyp4GdeZf8uEQJJq6jl13wc3V6xRZCE8gwXQ/b2ZoiMIIKqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T19:59:26.431382Z"},"content_sha256":"4bc27d34675d4f54f4d9c0bfbd25343a4a571313355b972c8a11faf1191a608d","schema_version":"1.0","event_id":"sha256:4bc27d34675d4f54f4d9c0bfbd25343a4a571313355b972c8a11faf1191a608d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TLDVQHRMJPCH2DO2XYUOZM6EJN/bundle.json","state_url":"https://pith.science/pith/TLDVQHRMJPCH2DO2XYUOZM6EJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TLDVQHRMJPCH2DO2XYUOZM6EJN/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":"2026-06-02T19:59:26Z","links":{"resolver":"https://pith.science/pith/TLDVQHRMJPCH2DO2XYUOZM6EJN","bundle":"https://pith.science/pith/TLDVQHRMJPCH2DO2XYUOZM6EJN/bundle.json","state":"https://pith.science/pith/TLDVQHRMJPCH2DO2XYUOZM6EJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TLDVQHRMJPCH2DO2XYUOZM6EJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TLDVQHRMJPCH2DO2XYUOZM6EJN","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":"cb0a5bda27d70295a579f79f78c8a6d38f9086e03daeac7e5762a76fd47c6ac2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-26T21:19:25Z","title_canon_sha256":"f357b8177313c6323861c11eecf904071fafed53702c23998bd53f4a869b4be7"},"schema_version":"1.0","source":{"id":"1604.07860","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07860","created_at":"2026-05-18T01:16:08Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07860v1","created_at":"2026-05-18T01:16:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07860","created_at":"2026-05-18T01:16:08Z"},{"alias_kind":"pith_short_12","alias_value":"TLDVQHRMJPCH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TLDVQHRMJPCH2DO2","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TLDVQHRM","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:4bc27d34675d4f54f4d9c0bfbd25343a4a571313355b972c8a11faf1191a608d","target":"graph","created_at":"2026-05-18T01:16:08Z","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"},"paper":{"abstract_excerpt":"This note is a sequel to the previous series \"Tensor Track I-III\". Assuming some familiarity with the tensor track approach to quantum gravity, we provide a brief introduction to the developments of the last two years and to their corresponding bibliography. They center around understanding the interface between random matrices and random tensors through the intermediate field representation, finding new types of $1/N$ expansions by enhancing sub-leading tensor interactions, exploring the renormalization group flows in the tensor theory space, and developing the constructive aspects of the the","authors_text":"Vincent Rivasseau","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-26T21:19:25Z","title":"The Tensor Track, IV"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07860","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":"sha256:80cfe749fcb4498499eb0e5782987f8f09e572dd88a96bc106d07f9444805904","target":"record","created_at":"2026-05-18T01:16:08Z","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":"cb0a5bda27d70295a579f79f78c8a6d38f9086e03daeac7e5762a76fd47c6ac2","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-26T21:19:25Z","title_canon_sha256":"f357b8177313c6323861c11eecf904071fafed53702c23998bd53f4a869b4be7"},"schema_version":"1.0","source":{"id":"1604.07860","kind":"arxiv","version":1}},"canonical_sha256":"9ac7581e2c4bc47d0ddabe28ecb3c44b6c03b66a79d46f8988ab298a46cdfda6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ac7581e2c4bc47d0ddabe28ecb3c44b6c03b66a79d46f8988ab298a46cdfda6","first_computed_at":"2026-05-18T01:16:08.815768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:08.815768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yTEEiCeLSE5JRDEto44lrYDrxa12V7tWo4iwDMCfsqyluwYS4CzNnl4hL6o9ArNEZ+wpw88mOA9caaXQbpXbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:08.816532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07860","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80cfe749fcb4498499eb0e5782987f8f09e572dd88a96bc106d07f9444805904","sha256:4bc27d34675d4f54f4d9c0bfbd25343a4a571313355b972c8a11faf1191a608d"],"state_sha256":"c15ba038b4eb4811e85305c064eaa7e2b2524291a827dfdd891551417dab1b9d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xMIPtGbepMbKJx+R65Y2KSGY/CMUkKvqN4TyRMx/wpd6+E8ktqnRvM88Rqxozk8ZwAesNbNK+mRHSL7JswnhAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T19:59:26.435088Z","bundle_sha256":"b1e9be213c39e177173558bc6048a57a6abf3e18f88b0792b22b63e14686eb75"}}