Pith Number

pith:VLLC2FYP

pith:2026:VLLC2FYPLAYI35NENNRTNCPUMI

not attested not anchored not stored refs pending

The Need for an External Observer Formalizing the Sufficiency Gap: A Mathematical Extension of Mixture Identifiability and Contextual Grounding in Sequence Models

Francesco Corielli

arxiv:2605.26711 v1 · 2026-05-26 · cs.CL · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLLC2FYPLAYI35NENNRTNCPUMI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-27T01:06:08.754622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad62d170f58308df5a46b633689f4622c1354c28fd6fe0b39e1be2373c32351

Aliases

arxiv: 2605.26711 · arxiv_version: 2605.26711v1 · doi: 10.48550/arxiv.2605.26711 · pith_short_12: VLLC2FYPLAYI · pith_short_16: VLLC2FYPLAYI35NE · pith_short_8: VLLC2FYP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VLLC2FYPLAYI35NENNRTNCPUMI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: aad62d170f58308df5a46b633689f4622c1354c28fd6fe0b39e1be2373c32351

Canonical record JSON

{
  "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
  }
}