Pith Number

pith:Q2TGCTAI

pith:2015:Q2TGCTAI5VRLKV5BPSMTXINAWY

not attested not anchored not stored refs pending

Absorption time and tree length of the Kingman coalescent and the Gumbel distribution

Helmut Pitters, Martin M\"ohle

arxiv:1502.03983 v1 · 2015-02-13 · 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{Q2TGCTAI5VRLKV5BPSMTXINAWY}

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	2026-05-18T02:27:06.787706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a6614c08ed62b557a17c993ba1a0b62399af7fa39b9876a27712f5a9a7a219

Aliases

arxiv: 1502.03983 · arxiv_version: 1502.03983v1 · doi: 10.48550/arxiv.1502.03983 · pith_short_12: Q2TGCTAI5VRL · pith_short_16: Q2TGCTAI5VRLKV5B · pith_short_8: Q2TGCTAI

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/Q2TGCTAI5VRLKV5BPSMTXINAWY \
  | 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: 86a6614c08ed62b557a17c993ba1a0b62399af7fa39b9876a27712f5a9a7a219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6cb413bd26fbc25ac23d7f0dd6a13fd7e4a1b219a09d1782d8fdbc6e3267bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-13T13:43:46Z",
    "title_canon_sha256": "500fdd38b70dbe5b7e37567d03915208ba6e49ad8ed399f259ddf53d9fc17372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03983",
    "kind": "arxiv",
    "version": 1
  }
}