pith. sign in
Pith Number

pith:DC72Y7PD

pith:2011:DC72Y7PD3AZ2HYI6DDBFNBV5FF
not attested not anchored not stored refs pending

Spatiotemporal dynamics in a spatial plankton system

2-School of Mathematical Sciences, Dhanbad, Fudan University, Indian School of Mines, N. K. Thakur (3)(1&3-Department of Applied Mathematics, Ranjit Kumar Upadhyay (1), Shanghai), Weiming Wang (2)

arxiv:1103.3344 v1 · 2011-03-17 · nlin.PS · nlin.CD

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DC72Y7PD3AZ2HYI6DDBFNBV5FF}

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 2026-05-18T04:26:33.896513Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

18bfac7de3d833a3e11e18c25686bd2955282f129fb7510b92b5c91a6042e437

Aliases

arxiv: 1103.3344 · arxiv_version: 1103.3344v1 · doi: 10.48550/arxiv.1103.3344 · pith_short_12: DC72Y7PD3AZ2 · pith_short_16: DC72Y7PD3AZ2HYI6 · pith_short_8: DC72Y7PD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DC72Y7PD3AZ2HYI6DDBFNBV5FF \
  | 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: 18bfac7de3d833a3e11e18c25686bd2955282f129fb7510b92b5c91a6042e437
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f51904a9f691b1576e65e51d9b89d6cec2fa533e7624c109c90c492f12752a90",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-03-17T06:29:53Z",
    "title_canon_sha256": "7f9e57d572aff59130fe67af434377036fd687fc1e8e461257f89e729ef26e9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3344",
    "kind": "arxiv",
    "version": 1
  }
}