Pith Number

pith:PQBGEVQY

pith:2026:PQBGEVQYJYYH5HI54FZJI335YP

not attested not anchored not stored refs pending

Language Models Represent and Transform Concepts with Shared Geometry

Lanhao Niu, Sashank Varma, Zhimin Hu

arxiv:2607.04525 v1 · 2026-07-05 · cs.CL · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQBGEVQYJYYH5HI54FZJI335YP}

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	2026-07-07T02:19:23.235788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c026256184e307e9d1de172946f7dc3d921002a9f828fd691798cd6fbf0b64c

Aliases

arxiv: 2607.04525 · arxiv_version: 2607.04525v1 · doi: 10.48550/arxiv.2607.04525 · pith_short_12: PQBGEVQYJYYH · pith_short_16: PQBGEVQYJYYH5HI5 · pith_short_8: PQBGEVQY

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/PQBGEVQYJYYH5HI54FZJI335YP \
  | 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: 7c026256184e307e9d1de172946f7dc3d921002a9f828fd691798cd6fbf0b64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04aee9ab754004f36dc3404fb5b5a3687fead8061f60ba4cdec5697f1c67f06a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-07-05T22:16:22Z",
    "title_canon_sha256": "e06604931f9d5e5081c7f221c9dcf6457a47a0c2c7832f41bd8ac0dc598495e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04525",
    "kind": "arxiv",
    "version": 1
  }
}