Pith Number

pith:PHQJGO4L

pith:2021:PHQJGO4L6FKGH7B2GC4R7FUKLY

not attested not anchored not stored refs pending

Tensor Programs IIb: Architectural Universality of Neural Tangent Kernel Training Dynamics

Etai Littwin, Greg Yang

arxiv:2105.03703 v1 · 2021-05-08 · cs.LG · cs.NE · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHQJGO4L6FKGH7B2GC4R7FUKLY}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T02:38:38.194183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e0933b8bf15463fc3a30b91f968a5e1446b04b77e0613e5fb2df9971cace68

Aliases

arxiv: 2105.03703 · arxiv_version: 2105.03703v1 · doi: 10.48550/arxiv.2105.03703 · pith_short_12: PHQJGO4L6FKG · pith_short_16: PHQJGO4L6FKGH7B2 · pith_short_8: PHQJGO4L

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/PHQJGO4L6FKGH7B2GC4R7FUKLY \
  | 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: 79e0933b8bf15463fc3a30b91f968a5e1446b04b77e0613e5fb2df9971cace68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3632028482a8f9770276b920c99963df3808f832be1858a29a406473e145ef8",
    "cross_cats_sorted": [
      "cs.NE",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-08T14:05:01Z",
    "title_canon_sha256": "d75833c0fc407b1a8b58806b5d0706ad5be5b1e4fbda0d1213608814620d21d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03703",
    "kind": "arxiv",
    "version": 1
  }
}