Pith Number

pith:XSS552M2

pith:2011:XSS552M23HHBEVG2AOUXHPTMO5

not attested not anchored not stored refs pending

Tropical geometries and dynamics of biochemical networks. Application to hybrid cell cycle models

Dima Grigoriev, Ovidiu Radulescu, Sergei Vakulenko, Vincent Noel

arxiv:1109.4085 v2 · 2011-09-19 · q-bio.MN · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSS552M23HHBEVG2AOUXHPTMO5}

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	2026-05-18T04:12:44.089649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca5dee99ad9ce1254da03a973be6c77718f9e9caee064f7989a1ba4f6999917

Aliases

arxiv: 1109.4085 · arxiv_version: 1109.4085v2 · doi: 10.48550/arxiv.1109.4085 · pith_short_12: XSS552M23HHB · pith_short_16: XSS552M23HHBEVG2 · pith_short_8: XSS552M2

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/XSS552M23HHBEVG2AOUXHPTMO5 \
  | 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: bca5dee99ad9ce1254da03a973be6c77718f9e9caee064f7989a1ba4f6999917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da5a97048ed6671024335129fef98adc346376e000544355d91af10d8d6c321",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2011-09-19T16:41:36Z",
    "title_canon_sha256": "b375dee475729dc3c3a43606f369a01b6075e7af057830486f5c099bfdb30d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4085",
    "kind": "arxiv",
    "version": 2
  }
}