Pith Number

pith:VC3XQRBI

pith:2013:VC3XQRBIHGQ67JJ5GIAZ62H4AH

not attested not anchored not stored refs pending

The spreading front of invasive species in favorable habitat or unfavorable habitat

Chengxia Lei, Qunying Zhang, Zhigui Lin

arxiv:1311.7254 v2 · 2013-11-28 · 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{VC3XQRBIHGQ67JJ5GIAZ62H4AH}

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	2026-05-18T02:55:38.334404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b778442839a1efa53d32019f68fc01d75466f411690150e9115d21ec35f34e

Aliases

arxiv: 1311.7254 · arxiv_version: 1311.7254v2 · doi: 10.48550/arxiv.1311.7254 · pith_short_12: VC3XQRBIHGQ6 · pith_short_16: VC3XQRBIHGQ67JJ5 · pith_short_8: VC3XQRBI

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/VC3XQRBIHGQ67JJ5GIAZ62H4AH \
  | 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: a8b778442839a1efa53d32019f68fc01d75466f411690150e9115d21ec35f34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76dd6fd3f1a351873cdc396042602c4fbbe701d2125a608f350c88ddef4e692c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-28T09:54:37Z",
    "title_canon_sha256": "5e3efde8b67d32828c93f2bc811cc286b00688fa595a2f760fe4983a23d34d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7254",
    "kind": "arxiv",
    "version": 2
  }
}