Pith Number

pith:MG4D2SSM

pith:2012:MG4D2SSM6RZKK3GM6M5ZRSRCPE

not attested not anchored not stored refs pending

Birth and death processes with neutral mutations

Amaury Lambert, Mathieu Richard, Nicolas Champagnat

arxiv:1209.6205 v2 · 2012-09-27 · 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{MG4D2SSM6RZKK3GM6M5ZRSRCPE}

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	2026-05-18T03:39:44.381766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b83d4a4cf472a56cccf33b98ca227933da9ffa1cc5f070a4b1caec9824957a

Aliases

arxiv: 1209.6205 · arxiv_version: 1209.6205v2 · doi: 10.48550/arxiv.1209.6205 · pith_short_12: MG4D2SSM6RZK · pith_short_16: MG4D2SSM6RZKK3GM · pith_short_8: MG4D2SSM

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/MG4D2SSM6RZKK3GM6M5ZRSRCPE \
  | 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: 61b83d4a4cf472a56cccf33b98ca227933da9ffa1cc5f070a4b1caec9824957a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be54183795ae2088447fde429dbaf064a6ffb5cd2d7b8467c51664773244105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-27T12:24:53Z",
    "title_canon_sha256": "264875c645d6221c06fad2c48b6a5bff7369300d8a3f7ba245a8b42f798a2cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6205",
    "kind": "arxiv",
    "version": 2
  }
}