Pith Number

pith:WB3WAGJF

pith:2013:WB3WAGJFZYVGFUUOF6NSLSYUWT

not attested not anchored not stored refs pending

Complexity reduction in many particles systems with random initial data

Leonid Berlyand, Mykhailo Potomkin, Pierre-Emmanuel Jabin

arxiv:1309.1372 v2 · 2013-09-05 · physics.comp-ph · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WB3WAGJFZYVGFUUOF6NSLSYUWT}

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	2026-05-18T02:33:01.449684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b077601925ce2a62d28e2f9b25cb14b4ded15c95a6059b969229c4d2ceabd254

Aliases

arxiv: 1309.1372 · arxiv_version: 1309.1372v2 · doi: 10.48550/arxiv.1309.1372 · pith_short_12: WB3WAGJFZYVG · pith_short_16: WB3WAGJFZYVGFUUO · pith_short_8: WB3WAGJF

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/WB3WAGJFZYVGFUUOF6NSLSYUWT \
  | 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: b077601925ce2a62d28e2f9b25cb14b4ded15c95a6059b969229c4d2ceabd254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b5580857fb9cba98e3cb2293526f494cec3a20215dcfe4ed19f0277410c1de",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2013-09-05T15:21:59Z",
    "title_canon_sha256": "cca0bc35e5e94b686235dad22f1d96edb63b30f85d55de01728050e88afff1eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1372",
    "kind": "arxiv",
    "version": 2
  }
}