Pith Number

pith:2F4XMWXG

pith:2015:2F4XMWXGJT3RWALKCM3OMHCEVP

not attested not anchored not stored refs pending

Wick polynomials and time-evolution of cumulants

Jani Lukkarinen, Matteo Marcozzi

arxiv:1503.05851 v2 · 2015-03-19 · 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{2F4XMWXGJT3RWALKCM3OMHCEVP}

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	2026-05-18T00:47:51.387631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d179765ae64cf71b016a1336e61c44abe1fef8f1f81f23394224355bfb4ebcf1

Aliases

arxiv: 1503.05851 · arxiv_version: 1503.05851v2 · doi: 10.48550/arxiv.1503.05851 · pith_short_12: 2F4XMWXGJT3R · pith_short_16: 2F4XMWXGJT3RWALK · pith_short_8: 2F4XMWXG

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/2F4XMWXGJT3RWALKCM3OMHCEVP \
  | 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: d179765ae64cf71b016a1336e61c44abe1fef8f1f81f23394224355bfb4ebcf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd3f8d67794629219c845eacb561d7087e3affeff2b782c7554b87d04b6cec6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-19T17:32:12Z",
    "title_canon_sha256": "c57c2c63374ddab928f5368e3a30c5fc702d004b93f145d8f169e0c9d88926d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05851",
    "kind": "arxiv",
    "version": 2
  }
}