Pith Number

pith:TBBQG5ED

pith:2015:TBBQG5EDWXQ7CNADKCA3ANJNUV

not attested not anchored not stored refs pending

A Spectral decomposition for the Bolthausen-Sznitman coalescent and the Kingman coalescent

Helmut H. Pitters, Jonas Kukla

arxiv:1501.03963 v1 · 2015-01-16 · 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{TBBQG5EDWXQ7CNADKCA3ANJNUV}

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	2026-05-18T02:29:16.647468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9843037483b5e1f134035081b0352da564a59a268af8c7849e20dda7596fea83

Aliases

arxiv: 1501.03963 · arxiv_version: 1501.03963v1 · doi: 10.48550/arxiv.1501.03963 · pith_short_12: TBBQG5EDWXQ7 · pith_short_16: TBBQG5EDWXQ7CNAD · pith_short_8: TBBQG5ED

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/TBBQG5EDWXQ7CNADKCA3ANJNUV \
  | 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: 9843037483b5e1f134035081b0352da564a59a268af8c7849e20dda7596fea83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b934dec1c379e7ad6f3832d3cb2089502118b5ffcf370934e326f1377aea39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-16T12:19:25Z",
    "title_canon_sha256": "3de58ff7f6e2888b7ed183f898b8f90f6818121d460995e2dff7d3d09e08ceab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03963",
    "kind": "arxiv",
    "version": 1
  }
}