Pith Number

pith:33P4H667

pith:2012:33P4H667WOWBXEDUK2DKL6NHJK

not attested not anchored not stored refs pending

Time-Ordered Product Expansions for Computational Stochastic Systems Biology

Eric Mjolsness

arxiv:1209.5231 v1 · 2012-09-24 · q-bio.QM · cs.CE · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33P4H667WOWBXEDUK2DKL6NHJK}

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	2026-05-18T01:54:19.583002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dedfc3fbdfb3ac1b90745686a5f9a74a8724bf378a4bf9cd0507a243d5fd0b6f

Aliases

arxiv: 1209.5231 · arxiv_version: 1209.5231v1 · doi: 10.48550/arxiv.1209.5231 · pith_short_12: 33P4H667WOWB · pith_short_16: 33P4H667WOWBXEDU · pith_short_8: 33P4H667

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/33P4H667WOWBXEDUK2DKL6NHJK \
  | 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: dedfc3fbdfb3ac1b90745686a5f9a74a8724bf378a4bf9cd0507a243d5fd0b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8e39bc81386c8b05a14d398f1c1fde361a525c822a14e2e9b30a3d1dab4322",
    "cross_cats_sorted": [
      "cs.CE",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2012-09-24T11:32:24Z",
    "title_canon_sha256": "f51ac927e2b9971c51d65ed35838680675d45c883f39b4b8e976b5ef113520bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5231",
    "kind": "arxiv",
    "version": 1
  }
}