Pith Number

pith:F6MM3T6W

pith:2018:F6MM3T6WZW7CAT3PAUMISPK4YA

not attested not anchored not stored refs pending

Spatiotemporal patterns near the Turing-Hopf bifurcation in a delay-diffusion mussel-algae model

Junjie Wei, Zuolin Shen

arxiv:1807.09522 v1 · 2018-07-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6MM3T6WZW7CAT3PAUMISPK4YA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:09:51.084850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f98cdcfd6cdbe204f6f0518893d5cc03307e445533ba5c22eddb7980f6cf9d9

Aliases

arxiv: 1807.09522 · arxiv_version: 1807.09522v1 · doi: 10.48550/arxiv.1807.09522 · pith_short_12: F6MM3T6WZW7C · pith_short_16: F6MM3T6WZW7CAT3P · pith_short_8: F6MM3T6W

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/F6MM3T6WZW7CAT3PAUMISPK4YA \
  | 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: 2f98cdcfd6cdbe204f6f0518893d5cc03307e445533ba5c22eddb7980f6cf9d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070e1596b189ac7e368c993ed199eafe2d7e0c7b083a2bc4cd29757d595cba84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-25T10:44:10Z",
    "title_canon_sha256": "64a963ba2123645298804fbd0db8bdbf3268ebf725129631a870edf70ef373fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09522",
    "kind": "arxiv",
    "version": 1
  }
}