{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VLLC2FYPLAYI35NENNRTNCPUMI","short_pith_number":"pith:VLLC2FYP","canonical_record":{"source":{"id":"2605.26711","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-26T08:53:11Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"99b634b40252fe8553d36abc0cd9ed8461d883b4d952a88effdef2d272f3f186","abstract_canon_sha256":"1cdbf3e2d10f99aaa215e566ec566db410e577e2a5af6f5ef5523848fd4f1947"},"schema_version":"1.0"},"canonical_sha256":"aad62d170f58308df5a46b633689f4622c1354c28fd6fe0b39e1be2373c32351","source":{"kind":"arxiv","id":"2605.26711","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.26711","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"2605.26711v1","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26711","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"VLLC2FYPLAYI","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"pith_short_16","alias_value":"VLLC2FYPLAYI35NE","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"pith_short_8","alias_value":"VLLC2FYP","created_at":"2026-05-27T01:06:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VLLC2FYPLAYI35NENNRTNCPUMI","target":"record","payload":{"canonical_record":{"source":{"id":"2605.26711","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-26T08:53:11Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"99b634b40252fe8553d36abc0cd9ed8461d883b4d952a88effdef2d272f3f186","abstract_canon_sha256":"1cdbf3e2d10f99aaa215e566ec566db410e577e2a5af6f5ef5523848fd4f1947"},"schema_version":"1.0"},"canonical_sha256":"aad62d170f58308df5a46b633689f4622c1354c28fd6fe0b39e1be2373c32351","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:06:08.755516Z","signature_b64":"aT1ex/E0yh9/QnEgrFFLwDrDcInablk6tyla+cZ5ScKjZsGfGPAxrj692q4tLpdn2PoecpkrVwWrdheXFv/ECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aad62d170f58308df5a46b633689f4622c1354c28fd6fe0b39e1be2373c32351","last_reissued_at":"2026-05-27T01:06:08.754622Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:06:08.754622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.26711","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":"2026-05-27T01:06:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/MNAmW7tNzFUKZNncLGI0khpRgYCG/w/28NZ1rcSsgud8cB89i2nNPZG3huvoBnyEpQsza9QklnY+73L+AaPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T03:28:39.414629Z"},"content_sha256":"4932c8e6d98c79fc96f1843f875299a9d713bebaa53d419925117ded8abbae34","schema_version":"1.0","event_id":"sha256:4932c8e6d98c79fc96f1843f875299a9d713bebaa53d419925117ded8abbae34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VLLC2FYPLAYI35NENNRTNCPUMI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Need for an External Observer Formalizing the Sufficiency Gap: A Mathematical Extension of Mixture Identifiability and Contextual Grounding in Sequence Models","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.CL","authors_text":"Francesco Corielli","submitted_at":"2026-05-26T08:53:11Z","abstract_excerpt":"We construct a binary mixed-regime process with one deterministic textual regime and one random regime governed by an unobserved latent state. Even an ideal infinite-capacity sequence predictor that exactly recovers the text-only marginal law can become overconfident when the observed prefix is compatible with the wrong latent regime. The resulting entropy difference is not an ordinary optimization error; it is a sufficiency gap caused by marginalization over an unobserved state. We then formalize retrieval, tool use, and external grounding through an auxiliary binary signal with fidelity $\\ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26711","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/2605.26711/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":"2026-05-27T01:06:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IrD+uFXAtrUoXvRi8s00/q759jnnpi08a98r92/BAyJhuyaRRoRBeBqfL+mKij3Zu5NRZ2+Bfsi6dEE1FlAaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T03:28:39.414997Z"},"content_sha256":"3c758a9da9aa3d23afc5daaddf5cd42bc9d6aee268e22b409069aed200995303","schema_version":"1.0","event_id":"sha256:3c758a9da9aa3d23afc5daaddf5cd42bc9d6aee268e22b409069aed200995303"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLLC2FYPLAYI35NENNRTNCPUMI/bundle.json","state_url":"https://pith.science/pith/VLLC2FYPLAYI35NENNRTNCPUMI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLLC2FYPLAYI35NENNRTNCPUMI/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":"2026-06-30T03:28:39Z","links":{"resolver":"https://pith.science/pith/VLLC2FYPLAYI35NENNRTNCPUMI","bundle":"https://pith.science/pith/VLLC2FYPLAYI35NENNRTNCPUMI/bundle.json","state":"https://pith.science/pith/VLLC2FYPLAYI35NENNRTNCPUMI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLLC2FYPLAYI35NENNRTNCPUMI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VLLC2FYPLAYI35NENNRTNCPUMI","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":"1cdbf3e2d10f99aaa215e566ec566db410e577e2a5af6f5ef5523848fd4f1947","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-26T08:53:11Z","title_canon_sha256":"99b634b40252fe8553d36abc0cd9ed8461d883b4d952a88effdef2d272f3f186"},"schema_version":"1.0","source":{"id":"2605.26711","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.26711","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"arxiv_version","alias_value":"2605.26711v1","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26711","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"pith_short_12","alias_value":"VLLC2FYPLAYI","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"pith_short_16","alias_value":"VLLC2FYPLAYI35NE","created_at":"2026-05-27T01:06:08Z"},{"alias_kind":"pith_short_8","alias_value":"VLLC2FYP","created_at":"2026-05-27T01:06:08Z"}],"graph_snapshots":[{"event_id":"sha256:3c758a9da9aa3d23afc5daaddf5cd42bc9d6aee268e22b409069aed200995303","target":"graph","created_at":"2026-05-27T01:06:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.26711/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a binary mixed-regime process with one deterministic textual regime and one random regime governed by an unobserved latent state. Even an ideal infinite-capacity sequence predictor that exactly recovers the text-only marginal law can become overconfident when the observed prefix is compatible with the wrong latent regime. The resulting entropy difference is not an ordinary optimization error; it is a sufficiency gap caused by marginalization over an unobserved state. We then formalize retrieval, tool use, and external grounding through an auxiliary binary signal with fidelity $\\ga","authors_text":"Francesco Corielli","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-26T08:53:11Z","title":"The Need for an External Observer Formalizing the Sufficiency Gap: A Mathematical Extension of Mixture Identifiability and Contextual Grounding in Sequence Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26711","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":"sha256:4932c8e6d98c79fc96f1843f875299a9d713bebaa53d419925117ded8abbae34","target":"record","created_at":"2026-05-27T01:06:08Z","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":"1cdbf3e2d10f99aaa215e566ec566db410e577e2a5af6f5ef5523848fd4f1947","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.CL","submitted_at":"2026-05-26T08:53:11Z","title_canon_sha256":"99b634b40252fe8553d36abc0cd9ed8461d883b4d952a88effdef2d272f3f186"},"schema_version":"1.0","source":{"id":"2605.26711","kind":"arxiv","version":1}},"canonical_sha256":"aad62d170f58308df5a46b633689f4622c1354c28fd6fe0b39e1be2373c32351","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aad62d170f58308df5a46b633689f4622c1354c28fd6fe0b39e1be2373c32351","first_computed_at":"2026-05-27T01:06:08.754622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T01:06:08.754622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aT1ex/E0yh9/QnEgrFFLwDrDcInablk6tyla+cZ5ScKjZsGfGPAxrj692q4tLpdn2PoecpkrVwWrdheXFv/ECQ==","signature_status":"signed_v1","signed_at":"2026-05-27T01:06:08.755516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.26711","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4932c8e6d98c79fc96f1843f875299a9d713bebaa53d419925117ded8abbae34","sha256:3c758a9da9aa3d23afc5daaddf5cd42bc9d6aee268e22b409069aed200995303"],"state_sha256":"bff984b81a0f343181aef41116468397e1f48311610767ed1706668548ea4c65"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1athUtt5e8tWEHeLedeKbCW2L1+vqFxaGoLvhzheqJPAhN5K5A1JgWUQCdYdiBKqBxhE8I+HnP4L3UJyC8CSBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T03:28:39.416920Z","bundle_sha256":"ca5f76b46c50e2dd4ecf8873152fc634c4429049778f309634c1f6b5d3c59fec"}}