Pith Number

pith:ZK4WREY7

pith:2025:ZK4WREY7PI5VHUTDYSY25UXCBE

not attested not anchored not stored refs pending

A Markov Categorical Framework for Language Modeling

Yifan Zhang

arxiv:2507.19247 v5 · 2025-07-25 · cs.LG · cs.AI · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK4WREY7PI5VHUTDYSY25UXCBE}

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

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	2026-05-18T03:09:34.966984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab968931f7a3b53d263c4b1aed2e2093b5e10cd47af16840c58715560a7dcce

Aliases

arxiv: 2507.19247 · arxiv_version: 2507.19247v5 · doi: 10.48550/arxiv.2507.19247 · pith_short_12: ZK4WREY7PI5V · pith_short_16: ZK4WREY7PI5VHUTD · pith_short_8: ZK4WREY7

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/ZK4WREY7PI5VHUTDYSY25UXCBE \
  | 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: cab968931f7a3b53d263c4b1aed2e2093b5e10cd47af16840c58715560a7dcce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f830309c325d95c459daa0fa9968f2f55b20c886675bb870ade22b38fa2a20d",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-25T13:14:03Z",
    "title_canon_sha256": "2ad4151697264bf5db969bde4cb8c0c72074b4455167bfac164bc660b8d13286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19247",
    "kind": "arxiv",
    "version": 5
  }
}