Pith Number

pith:QOOXLVIG

pith:2020:QOOXLVIGCQFTCO754LZLPVNQSC

not attested not anchored not stored refs pending

Expectations of Tutte-related functions of random ranked sets with multiplicities

Tan Nhat Tran

arxiv:2003.07349 v1 · 2020-03-16 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOOXLVIGCQFTCO754LZLPVNQSC}

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	2026-07-05T00:48:11.856041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

839d75d506140b313bfde2f2b7d5b090a952469f29a4225414fa9a8a72ac1d83

Aliases

arxiv: 2003.07349 · arxiv_version: 2003.07349v1 · doi: 10.48550/arxiv.2003.07349 · pith_short_12: QOOXLVIGCQFT · pith_short_16: QOOXLVIGCQFTCO75 · pith_short_8: QOOXLVIG

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/QOOXLVIGCQFTCO754LZLPVNQSC \
  | 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: 839d75d506140b313bfde2f2b7d5b090a952469f29a4225414fa9a8a72ac1d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c812e95567bb9f801257a98d358242daf8575e7fa9b21ee927401c70be9fdf81",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-16T17:51:47Z",
    "title_canon_sha256": "252b39a724f14364e8a4b50d6e9a7a117f406b7762d6fd21ded17187bf9f62b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.07349",
    "kind": "arxiv",
    "version": 1
  }
}