Pith Number

pith:X6XPPHJ5

pith:2012:X6XPPHJ543JIQ73EQMMCRM5PPC

not attested not anchored not stored refs pending

Hybrid Behaviour of Markov Population Models

Luca Bortolussi

arxiv:1211.1643 v2 · 2012-11-07 · cs.SY · cs.MA · cs.PF · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6XPPHJ543JIQ73EQMMCRM5PPC}

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	2026-05-18T03:36:46.058365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfaef79d3de6d2887f64831828b3af788de7c47308eed2fc1c105af9384aac6d

Aliases

arxiv: 1211.1643 · arxiv_version: 1211.1643v2 · doi: 10.48550/arxiv.1211.1643 · pith_short_12: X6XPPHJ543JI · pith_short_16: X6XPPHJ543JIQ73E · pith_short_8: X6XPPHJ5

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/X6XPPHJ543JIQ73EQMMCRM5PPC \
  | 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: bfaef79d3de6d2887f64831828b3af788de7c47308eed2fc1c105af9384aac6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda8c52a9fafb6aa84cab894b80a4fb1470586439ec4e9315c83485e40a7c32a",
    "cross_cats_sorted": [
      "cs.MA",
      "cs.PF",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-11-07T19:30:47Z",
    "title_canon_sha256": "089c892a6c12fa94bd050093faa5f5a21932775e0fd4051e186844f680cd0218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1643",
    "kind": "arxiv",
    "version": 2
  }
}