Pith Number

pith:MV3D7ZFP

pith:2013:MV3D7ZFP6FOFCBCGZZPBLQBMBV

not attested not anchored not stored refs pending

The probability measure corresponding to 2-plane trees

Karol A. Penson, Wojciech Mlotkowski

arxiv:1304.6544 v2 · 2013-04-24 · math.PR · 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{MV3D7ZFP6FOFCBCGZZPBLQBMBV}

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	2026-05-18T03:05:01.446074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65763fe4aff15c510446ce5e15c02c0d7828061ae565f0f9c120ac7e2d737758

Aliases

arxiv: 1304.6544 · arxiv_version: 1304.6544v2 · doi: 10.48550/arxiv.1304.6544 · pith_short_12: MV3D7ZFP6FOF · pith_short_16: MV3D7ZFP6FOFCBCG · pith_short_8: MV3D7ZFP

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/MV3D7ZFP6FOFCBCGZZPBLQBMBV \
  | 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: 65763fe4aff15c510446ce5e15c02c0d7828061ae565f0f9c120ac7e2d737758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edab45dc637fe3239f1631c7844bc2c01d9940d569d8ae662f525c4937cacf24",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-24T10:49:42Z",
    "title_canon_sha256": "4b8611245af35580df0f143e8dab29fce8cc4a709e6a63e83e4345bc11c3c21b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6544",
    "kind": "arxiv",
    "version": 2
  }
}