Pith Number

pith:CLWAGS6Y

pith:2015:CLWAGS6Y7CHN2IIJOYZGVN3YTJ

not attested not anchored not stored refs pending

Global dynamics of competition models with nonlocal dispersals I: Symmetric kernels

Fang Li, Xueli Bai

arxiv:1512.02380 v1 · 2015-12-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CLWAGS6Y7CHN2IIJOYZGVN3YTJ}

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	2026-05-18T01:24:44.782325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ec034bd8f88edd210976326ab7789a649ffd79c3d3e68db577395eac1a8634

Aliases

arxiv: 1512.02380 · arxiv_version: 1512.02380v1 · doi: 10.48550/arxiv.1512.02380 · pith_short_12: CLWAGS6Y7CHN · pith_short_16: CLWAGS6Y7CHN2IIJ · pith_short_8: CLWAGS6Y

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/CLWAGS6Y7CHN2IIJOYZGVN3YTJ \
  | 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: 12ec034bd8f88edd210976326ab7789a649ffd79c3d3e68db577395eac1a8634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35449d72b457119c120b7cc90fbe16b781c4171d82b8ac83ffec6150b26bd207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-08T09:36:47Z",
    "title_canon_sha256": "fd1481e49df52824d61bde1f5b1598f628bfba2db7cb3f70dc407ad99e78153a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02380",
    "kind": "arxiv",
    "version": 1
  }
}