pith. sign in
Pith Number

pith:D7OT4IGR

pith:2012:D7OT4IGRGOIPHEOXXXGKGE3FRQ
not attested not anchored not stored refs pending

Existence of Oscillations in Cyclic Gene Regulatory Networks with Time Delay

Masaaki Takada, Shinji Hara, Yutaka Hori

arxiv:1212.6325 v1 · 2012-12-27 · cs.SY · math.OC · q-bio.MN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{D7OT4IGRGOIPHEOXXXGKGE3FRQ}

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 2026-05-18T03:37:40.145569Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1fdd3e20d13390f391d7bdcca313658c3bf087f2c72ceb4fd5ad7d957b970a1d

Aliases

arxiv: 1212.6325 · arxiv_version: 1212.6325v1 · doi: 10.48550/arxiv.1212.6325 · pith_short_12: D7OT4IGRGOIP · pith_short_16: D7OT4IGRGOIPHEOX · pith_short_8: D7OT4IGR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/D7OT4IGRGOIPHEOXXXGKGE3FRQ \
  | 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: 1fdd3e20d13390f391d7bdcca313658c3bf087f2c72ceb4fd5ad7d957b970a1d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a242841f588dcb4a2893d1dd3e5823ddcee10efe137b0aa7906dbd72bbc0bbee",
    "cross_cats_sorted": [
      "math.OC",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-12-27T08:39:58Z",
    "title_canon_sha256": "60fea38d5b6352f9450cddc448c390a26769d00e3b6684665284ee485f8059ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6325",
    "kind": "arxiv",
    "version": 1
  }
}