Pith Number

pith:ETIXA2R5

pith:2008:ETIXA2R5N54T3FRX6QTN5RFX5E

not attested not anchored not stored refs pending

Polymorphic evolution sequence and evolutionary branching

Nicolas Champagnat (INRIA Sophia Antipolis / INRIA Lorraine / IECN), Sylvie M\'el\'eard (CMAP)

arxiv:0812.1655 v1 · 2008-12-09 · 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{ETIXA2R5N54T3FRX6QTN5RFX5E}

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	2026-05-18T04:07:16.195740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24d1706a3d6f793d9637f426dec4b7e91b685d78e7d600e28c48d24cacb48599

Aliases

arxiv: 0812.1655 · arxiv_version: 0812.1655v1 · doi: 10.48550/arxiv.0812.1655 · pith_short_12: ETIXA2R5N54T · pith_short_16: ETIXA2R5N54T3FRX · pith_short_8: ETIXA2R5

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/ETIXA2R5N54T3FRX6QTN5RFX5E \
  | 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: 24d1706a3d6f793d9637f426dec4b7e91b685d78e7d600e28c48d24cacb48599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f21ae7f3fbc9f507cf7c427f9c9a02f9db21512b132e34c8184e7d3cf9c3708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-09T10:43:11Z",
    "title_canon_sha256": "d8f83fd85a2032174036dcaad8b5ed4cb0ef242df26801172d82d51a314ffeb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1655",
    "kind": "arxiv",
    "version": 1
  }
}