Pith Number

pith:ICLIGSV3

pith:2011:ICLIGSV353OCOH5Q372LNUTPJV

not attested not anchored not stored refs pending

Critical Multitype Branching Systems: Extinction Results

Jose Alfredo Lopez Mimbela, Peter Kevei

arxiv:1107.0079 v1 · 2011-06-30 · 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{ICLIGSV353OCOH5Q372LNUTPJV}

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	2026-05-18T04:19:02.687807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4096834abbeedc271fb0dff4b6d26f4d4b738021c31f069a42e75015004cc18b

Aliases

arxiv: 1107.0079 · arxiv_version: 1107.0079v1 · doi: 10.48550/arxiv.1107.0079 · pith_short_12: ICLIGSV353OC · pith_short_16: ICLIGSV353OCOH5Q · pith_short_8: ICLIGSV3

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/ICLIGSV353OCOH5Q372LNUTPJV \
  | 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: 4096834abbeedc271fb0dff4b6d26f4d4b738021c31f069a42e75015004cc18b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8918dd342c58a2566d7defd2388b127dcafc13a35dd4447c2c5b0e0b26248c73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-30T22:32:01Z",
    "title_canon_sha256": "9830dad5c7cacfb6174d2410c37b85825634390437cead767c2e1ca07d30dd23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0079",
    "kind": "arxiv",
    "version": 1
  }
}