Pith Number

pith:NGX2IUF5

pith:2026:NGX2IUF55GKV3V7BJPJPE55CGF

not attested not anchored not stored refs pending

Maximal Minimal Spacing for Random Points

Fabio Deelan Cunden, Giovanni Gramegna, Noemi Cuppone, Pierpaolo Vivo

arxiv:2606.04837 v1 · 2026-06-03 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGX2IUF55GKV3V7BJPJPE55CGF}

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	2026-06-04T01:09:31.712362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69afa450bde9955dd7e14bd2f277a231536107c54960d3e662ba932a940db1ac

Aliases

arxiv: 2606.04837 · arxiv_version: 2606.04837v1 · doi: 10.48550/arxiv.2606.04837 · pith_short_12: NGX2IUF55GKV · pith_short_16: NGX2IUF55GKV3V7B · pith_short_8: NGX2IUF5

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/NGX2IUF55GKV3V7BJPJPE55CGF \
  | 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: 69afa450bde9955dd7e14bd2f277a231536107c54960d3e662ba932a940db1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3acce0d0bfe444835ecbae7321e8c31db55e36e19dafc9dfe06b379437f463f2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-03T13:07:41Z",
    "title_canon_sha256": "699892b65f4a7bf7a7e04a1ee61ae7236913e2dd3c0b7eee8af0414cdf98971c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04837",
    "kind": "arxiv",
    "version": 1
  }
}