Pith Number

pith:4KQIX3BR

pith:2014:4KQIX3BRABYGPXSCAW2HHNAFYT

not attested not anchored not stored refs pending

Cutting down $\mathbf p$-trees and inhomogeneous continuum random trees

Minmin Wang, Nicolas Broutin

arxiv:1408.0144 v3 · 2014-08-01 · math.PR · cs.DM · 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{4KQIX3BRABYGPXSCAW2HHNAFYT}

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	2026-05-18T02:45:03.782542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a08bec31007067de4205b473b405c4ffb5c85ea14feba115d24d87485f0f01

Aliases

arxiv: 1408.0144 · arxiv_version: 1408.0144v3 · doi: 10.48550/arxiv.1408.0144 · pith_short_12: 4KQIX3BRABYG · pith_short_16: 4KQIX3BRABYGPXSC · pith_short_8: 4KQIX3BR

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/4KQIX3BRABYGPXSCAW2HHNAFYT \
  | 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: e2a08bec31007067de4205b473b405c4ffb5c85ea14feba115d24d87485f0f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50f5cda69ce47c301c7d20e0c82aaa3ce311124be9555cb924233187301b821",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-01T12:05:38Z",
    "title_canon_sha256": "b8e2a305b2ecbde5750beaa58d67ff134bbbfa616fca59a082069bf35b551faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0144",
    "kind": "arxiv",
    "version": 3
  }
}