Pith Number

pith:WEGCVVNZ

pith:2026:WEGCVVNZ2KAVLCIYAGCDZTL53U

not attested not anchored not stored refs pending

On chain rule and renormalization

Nikolay A. Gusev, Roman V. Dribas

arxiv:2606.08330 v1 · 2026-06-06 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEGCVVNZ2KAVLCIYAGCDZTL53U}

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	2026-06-09T01:05:33.740881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b10c2ad5b9d28155891801843ccd7ddd2a9ba05675e1c4125b7afab471a28721

Aliases

arxiv: 2606.08330 · arxiv_version: 2606.08330v1 · doi: 10.48550/arxiv.2606.08330 · pith_short_12: WEGCVVNZ2KAV · pith_short_16: WEGCVVNZ2KAVLCIY · pith_short_8: WEGCVVNZ

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/WEGCVVNZ2KAVLCIYAGCDZTL53U \
  | 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: b10c2ad5b9d28155891801843ccd7ddd2a9ba05675e1c4125b7afab471a28721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713090dce34e378e9929a2b711df7a56f36361c0d945b31b3c100ad0fcb53b3e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-06T20:47:01Z",
    "title_canon_sha256": "df6bf9946f563cf9cd55716aa3e40627ed934737256b7a206da3ee96d1dc9c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08330",
    "kind": "arxiv",
    "version": 1
  }
}