Pith Number

pith:MG65L5WA

pith:2016:MG65L5WADGLPURIYJMKF6BN4AI

not attested not anchored not stored refs pending

CLE percolations

Jason Miller, Scott Sheffield, Wendelin Werner

arxiv:1602.03884 v4 · 2016-02-11 · math.PR · 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{MG65L5WADGLPURIYJMKF6BN4AI}

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	2026-05-18T00:33:32.628106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61bdd5f6c01996fa45184b145f05bc02223f2afcd8d30bc7d8b6298a04f29557

Aliases

arxiv: 1602.03884 · arxiv_version: 1602.03884v4 · doi: 10.48550/arxiv.1602.03884 · pith_short_12: MG65L5WADGLP · pith_short_16: MG65L5WADGLPURIY · pith_short_8: MG65L5WA

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/MG65L5WADGLPURIYJMKF6BN4AI \
  | 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: 61bdd5f6c01996fa45184b145f05bc02223f2afcd8d30bc7d8b6298a04f29557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6479c076869eb01e5e86a3a7216553cf9f45b3dbdf7aed9178b734fafcb4c0",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-11T20:57:35Z",
    "title_canon_sha256": "86a3b45ef926ab22a58632d23d6e923cf9be595a42b4fde52236bcb04d822bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03884",
    "kind": "arxiv",
    "version": 4
  }
}