Pith Number

pith:4L2YLL7K

pith:2017:4L2YLL7KTTF45Z2NZKJD7QN26M

not attested not anchored not stored refs pending

Classification of particle numbers with unique Heitmann-Radin minimizer

Gero Friesecke, Lucia De Luca

arxiv:1701.07231 v1 · 2017-01-25 · math-ph · 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{4L2YLL7KTTF45Z2NZKJD7QN26M}

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	2026-05-18T00:45:42.774545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f585afea9ccbcee74dca923fc1baf30e649683d0868239f9588df655904901

Aliases

arxiv: 1701.07231 · arxiv_version: 1701.07231v1 · doi: 10.48550/arxiv.1701.07231 · pith_short_12: 4L2YLL7KTTF4 · pith_short_16: 4L2YLL7KTTF45Z2N · pith_short_8: 4L2YLL7K

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/4L2YLL7KTTF45Z2NZKJD7QN26M \
  | 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: e2f585afea9ccbcee74dca923fc1baf30e649683d0868239f9588df655904901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eb2ce6b6900206301cca2c8ee48c928fdc1cdb430b7b02dca6cb548e79e37ab",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-25T09:51:41Z",
    "title_canon_sha256": "9b8d93cf776d8a96a61937909e81625deea8d3b0031dbed1c7494704fde00066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07231",
    "kind": "arxiv",
    "version": 1
  }
}