Pith Number

pith:5RN2E2SF

pith:2025:5RN2E2SFZAOW3Q65GOIFTNGECW

not attested not anchored not stored refs pending

Fokker-Planck to Callan-Symanzik: evolution of weight matrices under training

Uri Kol, Wei Bu, Ziming Liu

arxiv:2501.09659 v2 · 2025-01-16 · 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{5RN2E2SFZAOW3Q65GOIFTNGECW}

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	2026-07-05T11:16:31.477524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5ba26a45c81d6dc3dd339059b4c415950267260d442aec360c3c82767cce2e

Aliases

arxiv: 2501.09659 · arxiv_version: 2501.09659v2 · doi: 10.48550/arxiv.2501.09659 · pith_short_12: 5RN2E2SFZAOW · pith_short_16: 5RN2E2SFZAOW3Q65 · pith_short_8: 5RN2E2SF

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/5RN2E2SFZAOW3Q65GOIFTNGECW \
  | 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: ec5ba26a45c81d6dc3dd339059b4c415950267260d442aec360c3c82767cce2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ff967a896e888fe65150d126da7beb2b6615d0af2b9f262bd457f65cb54eb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-16T16:54:40Z",
    "title_canon_sha256": "8fc286347e28a98c87b1731aec981b8d0112c45ff2961ff740f736c7c590402a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09659",
    "kind": "arxiv",
    "version": 2
  }
}