Pith Number

pith:HUBOGQ3G

pith:2026:HUBOGQ3G7RJBBM33OSIXSZFCDO

not attested not anchored not stored refs pending

Hierarchical Concept Geometry in Language Models Emerges from Word Co-occurrence

Andres Nava, Matthieu Wyart

arxiv:2605.23821 v1 · 2026-05-22 · 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{HUBOGQ3G7RJBBM33OSIXSZFCDO}

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	2026-05-25T02:02:34.146289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d02e34366fc5210b37b74917964a21b897ffdc90e1c59c53dc37e1cae64cdf6

Aliases

arxiv: 2605.23821 · arxiv_version: 2605.23821v1 · doi: 10.48550/arxiv.2605.23821 · pith_short_12: HUBOGQ3G7RJB · pith_short_16: HUBOGQ3G7RJBBM33 · pith_short_8: HUBOGQ3G

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/HUBOGQ3G7RJBBM33OSIXSZFCDO \
  | 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: 3d02e34366fc5210b37b74917964a21b897ffdc90e1c59c53dc37e1cae64cdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd421076734bd8ca3953f80c3955c2940f1760a5f966af739958b3c621267e6",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-22T16:24:30Z",
    "title_canon_sha256": "a0e64886d294b0fe65ab78588c1665d715193d33c024d31994191c250cc1f4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23821",
    "kind": "arxiv",
    "version": 1
  }
}