Pith Number

pith:I677EP3Y

pith:2017:I677EP3YFUMOT5IBRCOMFFXSMG

not attested not anchored not stored refs pending

A Normal Form without small divisors

Gabriella Pinzari

arxiv:1710.02689 v1 · 2017-10-07 · math.DS · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I677EP3YFUMOT5IBRCOMFFXSMG}

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	2026-05-18T00:33:29.135948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47bff23f782d18e9f501889cc296f2619324022c85fba243658d003ed48758d7

Aliases

arxiv: 1710.02689 · arxiv_version: 1710.02689v1 · doi: 10.48550/arxiv.1710.02689 · pith_short_12: I677EP3YFUMO · pith_short_16: I677EP3YFUMOT5IB · pith_short_8: I677EP3Y

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/I677EP3YFUMOT5IBRCOMFFXSMG \
  | 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: 47bff23f782d18e9f501889cc296f2619324022c85fba243658d003ed48758d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93ca917d41658fe30a56f5c9204d2e85de02ffcdad766d275a6356a657d486ab",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-07T14:23:54Z",
    "title_canon_sha256": "1c3315515896b47bd92cedd1156166102254eee99b2820b11573c2ead96598b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02689",
    "kind": "arxiv",
    "version": 1
  }
}