Pith Number

pith:AS2GPN5L

pith:2019:AS2GPN5L75PFAJKL4WIA4BNDTO

not attested not anchored not stored refs pending

Semigroup models for biochemical reaction networks

Dimitri Loutchko

arxiv:1908.04642 v2 · 2019-08-13 · q-bio.MN · math.CO · math.RA · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AS2GPN5L75PFAJKL4WIA4BNDTO}

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	2026-07-05T06:40:59.320343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b467b7abff5e50254be5900e05a39bad2994aed4471421fce96dff0dff3582

Aliases

arxiv: 1908.04642 · arxiv_version: 1908.04642v2 · doi: 10.48550/arxiv.1908.04642 · pith_short_12: AS2GPN5L75PF · pith_short_16: AS2GPN5L75PFAJKL · pith_short_8: AS2GPN5L

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/AS2GPN5L75PFAJKL4WIA4BNDTO \
  | 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: 04b467b7abff5e50254be5900e05a39bad2994aed4471421fce96dff0dff3582

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "405b23ed11d162924b8294454efd1f9388ec1dbd912399e0f42978716eb19c61",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA",
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2019-08-13T13:46:13Z",
    "title_canon_sha256": "e22493d62722a9555ccf35249b382857ffd0b42af02b767ba39200108a50f400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04642",
    "kind": "arxiv",
    "version": 2
  }
}