Pith Number

pith:ZSI67G7X

pith:2018:ZSI67G7XP4X4MIEZILNGXG2FSY

not attested not anchored not stored refs pending

Formulation of the normal forms of Turing-Hopf bifurcation in reaction-diffusion systems with time delay

Junping Shi, Qi An, Weihua Jiang

arxiv:1802.10286 v1 · 2018-02-28 · 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{ZSI67G7XP4X4MIEZILNGXG2FSY}

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	2026-05-18T00:22:17.607883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc91ef9bf77f2fc6209942da6b9b45962e87496e1161b2ba6e449d300a17ea44

Aliases

arxiv: 1802.10286 · arxiv_version: 1802.10286v1 · doi: 10.48550/arxiv.1802.10286 · pith_short_12: ZSI67G7XP4X4 · pith_short_16: ZSI67G7XP4X4MIEZ · pith_short_8: ZSI67G7X

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/ZSI67G7XP4X4MIEZILNGXG2FSY \
  | 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: cc91ef9bf77f2fc6209942da6b9b45962e87496e1161b2ba6e449d300a17ea44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfc86b4323a885e4954a582fb52316715254d3d8365ba36f0462f000f4e4597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-02-28T06:58:36Z",
    "title_canon_sha256": "04081b10bbd5de1c094a16ef46277c9d69fa65d9a8f65fc916cad934372958da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10286",
    "kind": "arxiv",
    "version": 1
  }
}