Pith Number

pith:GT5KNOMW

pith:2014:GT5KNOMWU6JLU7V5JYR62ZJGGA

not attested not anchored not stored refs pending

Hopf Bifurcation in a Gene Regulatory Network Model: Molecular Movement Causes Oscillations

Marc Sturrock, Mariya Ptashnyk, Mark Chaplain

arxiv:1404.0661 v1 · 2014-04-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT5KNOMWU6JLU7V5JYR62ZJGGA}

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	2026-05-18T02:54:56.813012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34faa6b996a792ba7ebd4e23ed6526302ae40b8b6b6e384803388dc99bb3c1a1

Aliases

arxiv: 1404.0661 · arxiv_version: 1404.0661v1 · doi: 10.48550/arxiv.1404.0661 · pith_short_12: GT5KNOMWU6JL · pith_short_16: GT5KNOMWU6JLU7V5 · pith_short_8: GT5KNOMW

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/GT5KNOMWU6JLU7V5JYR62ZJGGA \
  | 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: 34faa6b996a792ba7ebd4e23ed6526302ae40b8b6b6e384803388dc99bb3c1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7861c71e4ec36926d3b269f0d7da29656e5c64e85198b57cf3a3627b263b1131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-02T19:31:20Z",
    "title_canon_sha256": "d51debeef75ddd754868097126a0bcd3ea44789348ae34f7d99aa1cf359b47ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0661",
    "kind": "arxiv",
    "version": 1
  }
}