Pith Number

pith:2BSFVDSN

pith:2017:2BSFVDSN76WTWRXY4ESHXJF4W2

not attested not anchored not stored refs pending

Renormalization: a quasi-shuffle approach

Fr\'ed\'eric Menous, Fr\'ed\'eric Patras (JAD)

arxiv:1703.07304 v2 · 2017-03-21 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BSFVDSN76WTWRXY4ESHXJF4W2}

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	2026-05-18T00:11:23.875002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0645a8e4dffad3b46f8e1247ba4bcb6af08a1f9541b2f0673ebb4a02d063ff9

Aliases

arxiv: 1703.07304 · arxiv_version: 1703.07304v2 · doi: 10.48550/arxiv.1703.07304 · pith_short_12: 2BSFVDSN76WT · pith_short_16: 2BSFVDSN76WTWRXY · pith_short_8: 2BSFVDSN

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/2BSFVDSN76WTWRXY4ESHXJF4W2 \
  | 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: d0645a8e4dffad3b46f8e1247ba4bcb6af08a1f9541b2f0673ebb4a02d063ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ca254b42636356045f0ba655a3b62b97c19eda2ebd40478484b60c47d69e27",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-03-21T16:37:02Z",
    "title_canon_sha256": "609bb22ecb17e7150085b4708f739d9f8989f6d2331216d61ea41aa385c0ce9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07304",
    "kind": "arxiv",
    "version": 2
  }
}