Pith Number

pith:XTDQ6N4M

pith:2011:XTDQ6N4MFZQADNQEFU4ZS2LZUI

not attested not anchored not stored refs pending

The number of non-singleton blocks in Lambda-coalescents with dust

Nic Freeman

arxiv:1111.1660 v1 · 2011-11-07 · 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{XTDQ6N4MFZQADNQEFU4ZS2LZUI}

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	2026-05-18T04:09:25.602953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc70f378c2e6001b6042d39996979a20287c34601a9b64926621a01ed73171e

Aliases

arxiv: 1111.1660 · arxiv_version: 1111.1660v1 · doi: 10.48550/arxiv.1111.1660 · pith_short_12: XTDQ6N4MFZQA · pith_short_16: XTDQ6N4MFZQADNQE · pith_short_8: XTDQ6N4M

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/XTDQ6N4MFZQADNQEFU4ZS2LZUI \
  | 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: bcc70f378c2e6001b6042d39996979a20287c34601a9b64926621a01ed73171e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3c55fe0b29142afe522060ee865ef06d068b816e4715f98972251188e0ed80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-07T17:52:43Z",
    "title_canon_sha256": "d4aa26e5ea23d7b42308ee30073cda821f414184416e4230f2bfe608b6f1b125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1660",
    "kind": "arxiv",
    "version": 1
  }
}