Pith Number

pith:YV5FA7TG

pith:2026:YV5FA7TGYWA3LB7AABDL657LOQ

not attested not anchored not stored refs pending

Sustained Limit Cycles in the Logistic Two-Gene Genetic Oscillator: A Delay-Driven Hopf Bifurcation

Ismail Belgacem

arxiv:2605.23722 v1 · 2026-05-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YV5FA7TGYWA3LB7AABDL657LOQ}

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	2026-05-25T02:02:28.437943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57a507e66c581b587e00046bf77eb741c6995ab9c0267f8c09936c2f467968e

Aliases

arxiv: 2605.23722 · arxiv_version: 2605.23722v1 · doi: 10.48550/arxiv.2605.23722 · pith_short_12: YV5FA7TGYWA3 · pith_short_16: YV5FA7TGYWA3LB7A · pith_short_8: YV5FA7TG

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/YV5FA7TGYWA3LB7AABDL657LOQ \
  | 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: c57a507e66c581b587e00046bf77eb741c6995ab9c0267f8c09936c2f467968e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce95b3167d1a1bf090e64e662a1ba189cc29f3756f0c5a64196dda060dc4ea9b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-22T15:02:52Z",
    "title_canon_sha256": "763d9e4988c86a6a1b72ea397948b6b941a168927e28291488cf2804d28fa5ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23722",
    "kind": "arxiv",
    "version": 1
  }
}