Pith Number

pith:KJHUGTUK

pith:2026:KJHUGTUKCH5WBX5XHGMT7YA4UM

not attested not anchored not stored refs pending

Deep networks learn to parse uniform-depth context-free languages from local statistics

Francesco Cagnetta, Jack T. Parley, Matthieu Wyart

arxiv:2602.06065 v3 · 2026-01-31 · stat.ML · cond-mat.dis-nn · 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{KJHUGTUKCH5WBX5XHGMT7YA4UM}

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	2026-06-02T03:04:38.153665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

524f434e8a11fb60dfb739993fe01ca33551e87f6cf4da9118282c606be906a8

Aliases

arxiv: 2602.06065 · arxiv_version: 2602.06065v3 · doi: 10.48550/arxiv.2602.06065 · pith_short_12: KJHUGTUKCH5W · pith_short_16: KJHUGTUKCH5WBX5X · pith_short_8: KJHUGTUK

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/KJHUGTUKCH5WBX5XHGMT7YA4UM \
  | 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: 524f434e8a11fb60dfb739993fe01ca33551e87f6cf4da9118282c606be906a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef18e4e3dc28985e5e79828a6ea30a2d1745b5c1328262cdee8cc049d38bfde",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.CL",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-01-31T17:35:06Z",
    "title_canon_sha256": "047fd8ba62904ed39763304aa146d718d5c503400e75dc714696a43222351e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06065",
    "kind": "arxiv",
    "version": 3
  }
}