Pith Number

pith:WOO5QWQM

pith:2011:WOO5QWQMQ7LWCKIKEOYWKZKOSW

not attested not anchored not stored refs pending

The coalescent point process of branching trees

Amaury Lambert, Lea Popovic

arxiv:1101.2241 v3 · 2011-01-12 · 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{WOO5QWQMQ7LWCKIKEOYWKZKOSW}

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	2026-05-18T02:22:58.524492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b39dd85a0c87d761290a23b165654e95ae81d6fd96c465541a71e827bb5dff15

Aliases

arxiv: 1101.2241 · arxiv_version: 1101.2241v3 · doi: 10.48550/arxiv.1101.2241 · pith_short_12: WOO5QWQMQ7LW · pith_short_16: WOO5QWQMQ7LWCKIK · pith_short_8: WOO5QWQM

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/WOO5QWQMQ7LWCKIKEOYWKZKOSW \
  | 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: b39dd85a0c87d761290a23b165654e95ae81d6fd96c465541a71e827bb5dff15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c09e6759b46426c39518f85e4f0e6992a77056857347d6ca64010348787b99d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-12T00:03:39Z",
    "title_canon_sha256": "8824f37099859007ce02a0a89dd34122f8e1227694ed5d856f616f4ab7914741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2241",
    "kind": "arxiv",
    "version": 3
  }
}