Pith Number

pith:MIZPGCEE

pith:2012:MIZPGCEE5OR36YD7LBYZJNQ3SI

not attested not anchored not stored refs pending

A decomposable branching process in a Markovian environment

Elena Dyakonova, Peter Jagers, Serik Sagitov, Vladimir Vatutin

arxiv:1209.6596 v3 · 2012-09-28 · 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{MIZPGCEE5OR36YD7LBYZJNQ3SI}

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	2026-05-18T03:38:13.860510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6232f30884eba3bf607f587194b61b923e03c995b7aef41860a98714b1b4b4d0

Aliases

arxiv: 1209.6596 · arxiv_version: 1209.6596v3 · doi: 10.48550/arxiv.1209.6596 · pith_short_12: MIZPGCEE5OR3 · pith_short_16: MIZPGCEE5OR36YD7 · pith_short_8: MIZPGCEE

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/MIZPGCEE5OR36YD7LBYZJNQ3SI \
  | 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: 6232f30884eba3bf607f587194b61b923e03c995b7aef41860a98714b1b4b4d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1406b36e9bf6291f0f0f88c88b025c6bff388f76d018a22acb52680343589105",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-28T18:34:33Z",
    "title_canon_sha256": "a844c23ff0b10a98207391178d6bf6f4eb30dad6abee809bf35ce50497f303bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6596",
    "kind": "arxiv",
    "version": 3
  }
}