Pith Number

pith:DYVQII2H

pith:2026:DYVQII2H677IP2O2VILQYUH26K

not attested not anchored not stored refs pending

Rational Neural Networks have Expressivity Advantages

Alex Townsend, Maosen Tang

arxiv:2602.12390 v2 · 2026-02-12 · cs.LG · cs.AI · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYVQII2H677IP2O2VILQYUH26K}

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	2026-06-25T00:18:12.916666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e2b042347f7fe87e9daaa170c50faf2b9d8f68f1eb99f2d8e657e78a8201539

Aliases

arxiv: 2602.12390 · arxiv_version: 2602.12390v2 · doi: 10.48550/arxiv.2602.12390 · pith_short_12: DYVQII2H677I · pith_short_16: DYVQII2H677IP2O2 · pith_short_8: DYVQII2H

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/DYVQII2H677IP2O2VILQYUH26K \
  | 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: 1e2b042347f7fe87e9daaa170c50faf2b9d8f68f1eb99f2d8e657e78a8201539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e91ffa97388fe83ed8b28d3a28f98e5d3b54025a7f091f28746726a68ccd28",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-12T20:33:42Z",
    "title_canon_sha256": "eb89600ca4fc113b0d4d0e3573063ef40fe4f72170967781899d1e35d4ed6528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.12390",
    "kind": "arxiv",
    "version": 2
  }
}