Pith Number

pith:GPFZIW4Q

pith:2016:GPFZIW4QJJPG4ZEJEKMEEWSUND

not attested not anchored not stored refs pending

On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent

Jonas Kukla, Martin M\"ohle

arxiv:1604.04514 v1 · 2016-04-15 · 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{GPFZIW4QJJPG4ZEJEKMEEWSUND}

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	2026-05-18T01:17:01.967619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33cb945b904a5e6e64892298425a5468f33029643689c7e39627c5837ed77588

Aliases

arxiv: 1604.04514 · arxiv_version: 1604.04514v1 · doi: 10.48550/arxiv.1604.04514 · pith_short_12: GPFZIW4QJJPG · pith_short_16: GPFZIW4QJJPG4ZEJ · pith_short_8: GPFZIW4Q

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/GPFZIW4QJJPG4ZEJEKMEEWSUND \
  | 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: 33cb945b904a5e6e64892298425a5468f33029643689c7e39627c5837ed77588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84846fb75bb4415c71dc1fb9f95e26c959c1f34bb43e971d40d00a2e8468e62b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-15T14:14:04Z",
    "title_canon_sha256": "67b91144dbe60327a652b644032a5acf25851dce5ced4d9176362b519671b31c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04514",
    "kind": "arxiv",
    "version": 1
  }
}