Pith Number

pith:NQYM74N6

pith:2012:NQYM74N6MG22AYQBBJYSGP63QO

not attested not anchored not stored refs pending

On the external branches of coalescents with multiple collisions

Jean-Stephane Dhersin (IG, LAGA), Martin Moehle

arxiv:1209.3380 v3 · 2012-09-15 · 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{NQYM74N6MG22AYQBBJYSGP63QO}

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	2026-05-18T03:32:44.982282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c30cff1be61b5a062010a71233fdb83aee28338c3576c86b8b0a4f278a407a7

Aliases

arxiv: 1209.3380 · arxiv_version: 1209.3380v3 · doi: 10.48550/arxiv.1209.3380 · pith_short_12: NQYM74N6MG22 · pith_short_16: NQYM74N6MG22AYQB · pith_short_8: NQYM74N6

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/NQYM74N6MG22AYQBBJYSGP63QO \
  | 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: 6c30cff1be61b5a062010a71233fdb83aee28338c3576c86b8b0a4f278a407a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78378eafc618f41a5c0c25792dd2ddb078cdfbef9b441443d5287a52e48774c",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-15T09:20:53Z",
    "title_canon_sha256": "6372014b53bfdc20090f763eda3532320ddb30985f4bddd24a1341d4f21bbc31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3380",
    "kind": "arxiv",
    "version": 3
  }
}