Pith Number

pith:J3OZYZAP

pith:2014:J3OZYZAP47RIEED6KWZ5QFSRNR

not attested not anchored not stored refs pending

Relations between cumulants in noncommutative probability

Carlos Vargas, Franz Lehner, Octavio Arizmendi, Takahiro Hasebe

arxiv:1408.2977 v1 · 2014-08-13 · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3OZYZAP47RIEED6KWZ5QFSRNR}

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	2026-05-17T23:39:32.794844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edd9c640fe7e282107e55b3d816516c7f08283b12af7a41f72ca9bd87617349

Aliases

arxiv: 1408.2977 · arxiv_version: 1408.2977v1 · doi: 10.48550/arxiv.1408.2977 · pith_short_12: J3OZYZAP47RI · pith_short_16: J3OZYZAP47RIEED6 · pith_short_8: J3OZYZAP

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/J3OZYZAP47RIEED6KWZ5QFSRNR \
  | 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: 4edd9c640fe7e282107e55b3d816516c7f08283b12af7a41f72ca9bd87617349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b5e2aa27399207ed34b8b675fc283ed13bb5de5cd477f2e37449777264b338",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-13T11:12:31Z",
    "title_canon_sha256": "d8a351e4a47bf45dfaae4f2cfb092ae566aab2eabd6afa0d6e250d844b7480b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2977",
    "kind": "arxiv",
    "version": 1
  }
}