Pith Number

pith:CER5NVLX

pith:2014:CER5NVLXZ7ALAULSH3SVXHFMU5

not attested not anchored not stored refs pending

Efficient random sampling of binary and unary-binary trees via holonomic equations

Alice Jacquot, Axel Bacher, Olivier Bodini

arxiv:1401.1140 v2 · 2014-01-06 · cs.DS · 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{CER5NVLXZ7ALAULSH3SVXHFMU5}

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	2026-05-18T00:23:09.886037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1123d6d577cfc0b051723ee55b9caca7607284a15400f504c618b1879bc2934d

Aliases

arxiv: 1401.1140 · arxiv_version: 1401.1140v2 · doi: 10.48550/arxiv.1401.1140 · pith_short_12: CER5NVLXZ7AL · pith_short_16: CER5NVLXZ7ALAULS · pith_short_8: CER5NVLX

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/CER5NVLXZ7ALAULSH3SVXHFMU5 \
  | 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: 1123d6d577cfc0b051723ee55b9caca7607284a15400f504c618b1879bc2934d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8635d0bb39b8b603ea9143bfdf2da4e136de006e1b3c70d177620c339f409a8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-01-06T17:04:52Z",
    "title_canon_sha256": "0ca0bb347467d6e0565186050629d6e8a162e1b8283503df906ff91e8442437d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1140",
    "kind": "arxiv",
    "version": 2
  }
}