Pith Number

pith:3KSNPZYC

pith:2012:3KSNPZYCWY5FI6CUQ45BRFWGFG

not attested not anchored not stored refs pending

Single--crossover recombination and ancestral recombination trees

Ellen Baake, Ute von Wangenheim

arxiv:1206.0950 v2 · 2012-06-05 · math.PR · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KSNPZYCWY5FI6CUQ45BRFWGFG}

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	2026-05-18T02:53:30.584401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa4d7e702b63a547854873a1896c62999c8efe3605bb423a5dcae0f9f35cca0

Aliases

arxiv: 1206.0950 · arxiv_version: 1206.0950v2 · doi: 10.48550/arxiv.1206.0950 · pith_short_12: 3KSNPZYCWY5F · pith_short_16: 3KSNPZYCWY5FI6CU · pith_short_8: 3KSNPZYC

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/3KSNPZYCWY5FI6CUQ45BRFWGFG \
  | 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: daa4d7e702b63a547854873a1896c62999c8efe3605bb423a5dcae0f9f35cca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd35ab32c6047fd4535f3c80357c8329db907c5d2c42cc19f2738c95a985e0b1",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-05T14:46:11Z",
    "title_canon_sha256": "0ceefd60e76307fd15bd07f758dbedde8e4b8f3b8e2c345b6ade07ab6fb6f530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0950",
    "kind": "arxiv",
    "version": 2
  }
}