Pith Number

pith:QDPF4Q76

pith:2017:QDPF4Q76RAZ4Q2C2SNQOAJZH3A

not attested not anchored not stored refs pending

On the powers of the descent set statistic

Alex Happ, Richard Ehrenborg

arxiv:1709.00778 v1 · 2017-09-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDPF4Q76RAZ4Q2C2SNQOAJZH3A}

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	2026-05-18T00:36:05.162986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80de5e43fe8833c8685a9360e02727d83a9d4629c9557e23a03c05c66a68d527

Aliases

arxiv: 1709.00778 · arxiv_version: 1709.00778v1 · doi: 10.48550/arxiv.1709.00778 · pith_short_12: QDPF4Q76RAZ4 · pith_short_16: QDPF4Q76RAZ4Q2C2 · pith_short_8: QDPF4Q76

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/QDPF4Q76RAZ4Q2C2SNQOAJZH3A \
  | 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: 80de5e43fe8833c8685a9360e02727d83a9d4629c9557e23a03c05c66a68d527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff98d0fee7d41b0fc29d8d180a8ca4600ac5ec6aaba3ce37a46b503e34d1530d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-04T00:30:50Z",
    "title_canon_sha256": "3fce1d78b4b4cc353e0d9524d5dab8943073ea5b4284ea82b19ef99415719278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00778",
    "kind": "arxiv",
    "version": 1
  }
}