Pith Number

pith:JXSLNOB4

pith:2012:JXSLNOB4YVBUE4LI6PEDWXNQGZ

not attested not anchored not stored refs pending

Polynomial Time Algorithms for Multi-Type Branching Processes and Stochastic Context-Free Grammars

Alistair Stewart, Kousha Etessami, Mihalis Yannakakis

arxiv:1201.2374 v2 · 2012-01-11 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXSLNOB4YVBUE4LI6PEDWXNQGZ}

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	2026-05-18T03:33:11.950327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de4b6b83cc543427168f3c83b5db0364c13f637c5db13af1591e79905b78777

Aliases

arxiv: 1201.2374 · arxiv_version: 1201.2374v2 · doi: 10.48550/arxiv.1201.2374 · pith_short_12: JXSLNOB4YVBU · pith_short_16: JXSLNOB4YVBUE4LI · pith_short_8: JXSLNOB4

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/JXSLNOB4YVBUE4LI6PEDWXNQGZ \
  | 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: 4de4b6b83cc543427168f3c83b5db0364c13f637c5db13af1591e79905b78777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea0523c4e4a425172027d90257ba5c48cbf771b73f6d5916b1e8e1c4aba46af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-01-11T18:42:46Z",
    "title_canon_sha256": "4057b9db68d101d9330d361cee4b27a4c901fd5f45e56c5dfb6afbcbd54b0b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2374",
    "kind": "arxiv",
    "version": 2
  }
}