Pith Number

pith:HZ5KMRWI

pith:2011:HZ5KMRWIMVXWPAVZOYPMCYDWLA

not attested not anchored not stored refs pending

Convergence of stochastic gene networks to hybrid piecewise deterministic processes

Alina Crudu (IRMAR), Arnaud Debussche (IRMAR), Aur\'elie Muller (IECN), Ovidiu Radulescu

arxiv:1101.1431 v1 · 2011-01-07 · 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{HZ5KMRWIMVXWPAVZOYPMCYDWLA}

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	2026-05-18T04:31:52.836197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7aa646c8656f6782b9761ec1607658266fa06a1b8b69d0653184255d665565

Aliases

arxiv: 1101.1431 · arxiv_version: 1101.1431v1 · doi: 10.48550/arxiv.1101.1431 · pith_short_12: HZ5KMRWIMVXW · pith_short_16: HZ5KMRWIMVXWPAVZ · pith_short_8: HZ5KMRWI

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/HZ5KMRWIMVXWPAVZOYPMCYDWLA \
  | 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: 3e7aa646c8656f6782b9761ec1607658266fa06a1b8b69d0653184255d665565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3dad0b1f2b212e2db99ff0b3d1b2d2b2d53079ef0f60eb9a0b9ab695b13c9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-07T13:28:31Z",
    "title_canon_sha256": "48b735c28e373e790fcf052c8324c12da6aa731a4ba293a9a73fe96c808d866a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1431",
    "kind": "arxiv",
    "version": 1
  }
}