{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:I6BGZA7U2D3N3YLZ6LEIWVGHPG","short_pith_number":"pith:I6BGZA7U","canonical_record":{"source":{"id":"2410.12364","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-10-16T08:29:47Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"title_canon_sha256":"a0db19bc22ada643c7c51df91d8e968512b23a790cea1860342a908060a32843","abstract_canon_sha256":"35573cea6b6db9a97b13ac0a0e11ec3e6cc12bfe3b6a23be6e9ce38d2b31f1cc"},"schema_version":"1.0"},"canonical_sha256":"47826c83f4d0f6dde179f2c88b54c779b20e43edb54d7fc9f7a8f2e9d65b894b","source":{"kind":"arxiv","id":"2410.12364","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.12364","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"arxiv_version","alias_value":"2410.12364v2","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.12364","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"pith_short_12","alias_value":"I6BGZA7U2D3N","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"pith_short_16","alias_value":"I6BGZA7U2D3N3YLZ","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"pith_short_8","alias_value":"I6BGZA7U","created_at":"2026-07-05T10:44:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:I6BGZA7U2D3N3YLZ6LEIWVGHPG","target":"record","payload":{"canonical_record":{"source":{"id":"2410.12364","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-10-16T08:29:47Z","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"title_canon_sha256":"a0db19bc22ada643c7c51df91d8e968512b23a790cea1860342a908060a32843","abstract_canon_sha256":"35573cea6b6db9a97b13ac0a0e11ec3e6cc12bfe3b6a23be6e9ce38d2b31f1cc"},"schema_version":"1.0"},"canonical_sha256":"47826c83f4d0f6dde179f2c88b54c779b20e43edb54d7fc9f7a8f2e9d65b894b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:44:18.504362Z","signature_b64":"XnThvFCW0QXnPYs/TkxoH9QaXt4Pr1uLGmO0D51zel14/lfHoVHHmxOnmOz8eDbcAurZq2AD6ExlQjRyF5e6CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47826c83f4d0f6dde179f2c88b54c779b20e43edb54d7fc9f7a8f2e9d65b894b","last_reissued_at":"2026-07-05T10:44:18.503834Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:44:18.503834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.12364","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":"2026-07-05T10:44:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LMR2r94slD/KwRNBjen+R3cZBZRsut8QT7+XGTM9NDubX/0D3E0pGCItnh2amf/7hiRpF1aTmkQ0pEokc0htCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T22:14:41.556759Z"},"content_sha256":"68345c5dc0404dcdd6db6939fcf1e3e641289357c5c210689d9498e3947e2b16","schema_version":"1.0","event_id":"sha256:68345c5dc0404dcdd6db6939fcf1e3e641289357c5c210689d9498e3947e2b16"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:I6BGZA7U2D3N3YLZ6LEIWVGHPG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An informal introduction to the Parisi formula","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Jean-Christophe Mourrat","submitted_at":"2024-10-16T08:29:47Z","abstract_excerpt":"This note is an informal presentation of spin glasses and of the Parisi formula. We also discuss some models for which the Parisi formula is not well-understood, and some partial progress that relies upon a connection with partial differential equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.12364","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/2410.12364/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":"2026-07-05T10:44:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"joXRUZyn8eJYCE03QRZ9eoG2sCOizteHzjaL/k3yh6t0s98qKj9Uu8CTGZqSOw6wmT27Ukp+4xh1MadqO9SyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T22:14:41.557290Z"},"content_sha256":"eb2a67cf64e7a529e1105f3d29d3dfc5d2752f7509e9a7798a9da09ff54ebf11","schema_version":"1.0","event_id":"sha256:eb2a67cf64e7a529e1105f3d29d3dfc5d2752f7509e9a7798a9da09ff54ebf11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I6BGZA7U2D3N3YLZ6LEIWVGHPG/bundle.json","state_url":"https://pith.science/pith/I6BGZA7U2D3N3YLZ6LEIWVGHPG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I6BGZA7U2D3N3YLZ6LEIWVGHPG/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":"2026-08-20T22:14:41Z","links":{"resolver":"https://pith.science/pith/I6BGZA7U2D3N3YLZ6LEIWVGHPG","bundle":"https://pith.science/pith/I6BGZA7U2D3N3YLZ6LEIWVGHPG/bundle.json","state":"https://pith.science/pith/I6BGZA7U2D3N3YLZ6LEIWVGHPG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I6BGZA7U2D3N3YLZ6LEIWVGHPG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:I6BGZA7U2D3N3YLZ6LEIWVGHPG","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":"35573cea6b6db9a97b13ac0a0e11ec3e6cc12bfe3b6a23be6e9ce38d2b31f1cc","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-10-16T08:29:47Z","title_canon_sha256":"a0db19bc22ada643c7c51df91d8e968512b23a790cea1860342a908060a32843"},"schema_version":"1.0","source":{"id":"2410.12364","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.12364","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"arxiv_version","alias_value":"2410.12364v2","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.12364","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"pith_short_12","alias_value":"I6BGZA7U2D3N","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"pith_short_16","alias_value":"I6BGZA7U2D3N3YLZ","created_at":"2026-07-05T10:44:18Z"},{"alias_kind":"pith_short_8","alias_value":"I6BGZA7U","created_at":"2026-07-05T10:44:18Z"}],"graph_snapshots":[{"event_id":"sha256:eb2a67cf64e7a529e1105f3d29d3dfc5d2752f7509e9a7798a9da09ff54ebf11","target":"graph","created_at":"2026-07-05T10:44:18Z","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/2410.12364/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This note is an informal presentation of spin glasses and of the Parisi formula. We also discuss some models for which the Parisi formula is not well-understood, and some partial progress that relies upon a connection with partial differential equations.","authors_text":"Jean-Christophe Mourrat","cross_cats":["cond-mat.dis-nn","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-10-16T08:29:47Z","title":"An informal introduction to the Parisi formula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.12364","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":"sha256:68345c5dc0404dcdd6db6939fcf1e3e641289357c5c210689d9498e3947e2b16","target":"record","created_at":"2026-07-05T10:44:18Z","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":"35573cea6b6db9a97b13ac0a0e11ec3e6cc12bfe3b6a23be6e9ce38d2b31f1cc","cross_cats_sorted":["cond-mat.dis-nn","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-10-16T08:29:47Z","title_canon_sha256":"a0db19bc22ada643c7c51df91d8e968512b23a790cea1860342a908060a32843"},"schema_version":"1.0","source":{"id":"2410.12364","kind":"arxiv","version":2}},"canonical_sha256":"47826c83f4d0f6dde179f2c88b54c779b20e43edb54d7fc9f7a8f2e9d65b894b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47826c83f4d0f6dde179f2c88b54c779b20e43edb54d7fc9f7a8f2e9d65b894b","first_computed_at":"2026-07-05T10:44:18.503834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:44:18.503834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XnThvFCW0QXnPYs/TkxoH9QaXt4Pr1uLGmO0D51zel14/lfHoVHHmxOnmOz8eDbcAurZq2AD6ExlQjRyF5e6CA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:44:18.504362Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.12364","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68345c5dc0404dcdd6db6939fcf1e3e641289357c5c210689d9498e3947e2b16","sha256:eb2a67cf64e7a529e1105f3d29d3dfc5d2752f7509e9a7798a9da09ff54ebf11"],"state_sha256":"255065e06a93a5a8eb54ccd17fbae248617edb609411d2d64dbc3910c6f69c4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V7oRKeUdA5oGAJTSD+kZCVqKAqzfloqDuJmxHqvlifusXYz5hLZX1o0jW5x5QgHdmIgUFPgADq8pr9xt6gonDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T22:14:41.561417Z","bundle_sha256":"fabfaaed12e98f84012f11c90ac865c71bfd1eac84535207178de74e2db7ebad"}}