Pith Number

pith:ZKCP3LID

pith:2018:ZKCP3LIDEV4JXDHESWVSZKJ6R5

not attested not anchored not stored refs pending

Properties of the chemostat model with aggregated biomass

Alain Rapaport (MISTEA)

arxiv:1803.02634 v1 · 2018-03-07 · math.DS · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKCP3LIDEV4JXDHESWVSZKJ6R5}

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	2026-05-18T00:21:49.631659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca84fdad0325789b8ce495ab2ca93e8f6ff63b55a0bb970d23dbad72846748e8

Aliases

arxiv: 1803.02634 · arxiv_version: 1803.02634v1 · doi: 10.48550/arxiv.1803.02634 · pith_short_12: ZKCP3LIDEV4J · pith_short_16: ZKCP3LIDEV4JXDHE · pith_short_8: ZKCP3LID

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/ZKCP3LIDEV4JXDHESWVSZKJ6R5 \
  | 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: ca84fdad0325789b8ce495ab2ca93e8f6ff63b55a0bb970d23dbad72846748e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db378e8de3058ccfc829c848cfe7be985a50a239cc9e1f1a03782a69e57a50d",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-03-07T13:18:48Z",
    "title_canon_sha256": "62e1dd30e88caa12e1a88f273e3283e472bba88ab01e2dc8c39d69320542534c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02634",
    "kind": "arxiv",
    "version": 1
  }
}