Pith Number

pith:YHQCCLOK

pith:2026:YHQCCLOK52ATS2WILOKHJ7YCOT

not attested not anchored not stored refs pending

The Geometry of Updates: Fisher Alignment at Vocabulary Scale

John Sweeney

arxiv:2606.27242 v1 · 2026-06-25 · cs.LG · cs.CL · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHQCCLOK52ATS2WILOKHJ7YCOT}

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	2026-06-26T01:16:16.032218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e0212dcaee81396ac85b9474ff0274d219ea523ad3f30f823147e6a0295d1b

Aliases

arxiv: 2606.27242 · arxiv_version: 2606.27242v1 · doi: 10.48550/arxiv.2606.27242 · pith_short_12: YHQCCLOK52AT · pith_short_16: YHQCCLOK52ATS2WI · pith_short_8: YHQCCLOK

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/YHQCCLOK52ATS2WILOKHJ7YCOT \
  | 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: c1e0212dcaee81396ac85b9474ff0274d219ea523ad3f30f823147e6a0295d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2251368846aa541c3f88ccaacfa0c638cbc1b81d4edf9c5630793b3d0c8247",
    "cross_cats_sorted": [
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T16:30:27Z",
    "title_canon_sha256": "4dbae6287e3bf99bddcdd9d8e17d6cca08d08a89f3f97f9b9fc78582a7c41fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27242",
    "kind": "arxiv",
    "version": 1
  }
}