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Pith Number

pith:43H3B2JV

pith:2015:43H3B2JVOD56KKCNBORUP57EC7
not attested not anchored not stored refs pending

Time-periodic and stable patterns of a two-competing-species Keller-Segel chemotaxis model: effect of cellular growth

Jingyue Yang, Lu Zhang, Qi Wang

arxiv:1505.06463 v3 · 2015-05-24 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{43H3B2JVOD56KKCNBORUP57EC7}

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 2026-05-18T00:40:41.818137Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e6cfb0e93570fbe5284d0ba347f7e417df623c0dd4d59d4ac033b54532dd226a

Aliases

arxiv: 1505.06463 · arxiv_version: 1505.06463v3 · doi: 10.48550/arxiv.1505.06463 · pith_short_12: 43H3B2JVOD56 · pith_short_16: 43H3B2JVOD56KKCN · pith_short_8: 43H3B2JV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/43H3B2JVOD56KKCNBORUP57EC7 \
  | 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: e6cfb0e93570fbe5284d0ba347f7e417df623c0dd4d59d4ac033b54532dd226a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7b26666e1537b0f07f9b9b8047385da85e0afdeb77f64171a1e91b4b7cad029a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-24T17:55:25Z",
    "title_canon_sha256": "20b3331afe6bd74566dea8dd346ce57ecf5755a7639cf668309a918398b34908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06463",
    "kind": "arxiv",
    "version": 3
  }
}