Pith Number

pith:OVSXTXBN

pith:2016:OVSXTXBNUVMJ7OXA7VSNKTDYR6

not attested not anchored not stored refs pending

Epsilon-noncrossing partitions and cumulants in free probability

Frederic Patras, Kurusch Ebrahimi-Fard, Roland Speicher

arxiv:1612.02671 v1 · 2016-12-07 · 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{OVSXTXBNUVMJ7OXA7VSNKTDYR6}

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	2026-05-17T23:59:03.864256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

756579dc2da5589fbae0fd64d54c788f90790c3306c839f8f84f0d7324e6af85

Aliases

arxiv: 1612.02671 · arxiv_version: 1612.02671v1 · doi: 10.48550/arxiv.1612.02671 · pith_short_12: OVSXTXBNUVMJ · pith_short_16: OVSXTXBNUVMJ7OXA · pith_short_8: OVSXTXBN

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/OVSXTXBNUVMJ7OXA7VSNKTDYR6 \
  | 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: 756579dc2da5589fbae0fd64d54c788f90790c3306c839f8f84f0d7324e6af85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "934fae821a3cccc10afa7cb363864653fe6f6db58f5e34ae26bc26a71db89d94",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-07T01:00:50Z",
    "title_canon_sha256": "e4b3e47abaf740161d807f4ea6cd3a7e8d974d22d8378c36edbd8a8188b38605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02671",
    "kind": "arxiv",
    "version": 1
  }
}