Pith Number

pith:2GBALVH3

pith:2012:2GBALVH3D2DJS6D2PBXCHDST2V

not attested not anchored not stored refs pending

The Mutual Inclusion in a Nonlocal Competitive Lotka Volterra System

Biao Wang, Xiaojie Hou, Zhence Zhang

arxiv:1208.4783 v2 · 2012-08-23 · math.DS · 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{2GBALVH3D2DJS6D2PBXCHDST2V}

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	2026-05-18T03:20:20.713144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18205d4fb1e8699787a786e238e53d54542d2460af644bd3df09c39d0f02073

Aliases

arxiv: 1208.4783 · arxiv_version: 1208.4783v2 · doi: 10.48550/arxiv.1208.4783 · pith_short_12: 2GBALVH3D2DJ · pith_short_16: 2GBALVH3D2DJS6D2 · pith_short_8: 2GBALVH3

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/2GBALVH3D2DJS6D2PBXCHDST2V \
  | 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: d18205d4fb1e8699787a786e238e53d54542d2460af644bd3df09c39d0f02073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a17002b13c2b4c267fe573d16a48ef3293a30f1ea3b17141835f08541b372f2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-23T15:42:13Z",
    "title_canon_sha256": "15423b2ce12accfee6a683674cc695e8f0adce5bd571d08070cd0a42b60200b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4783",
    "kind": "arxiv",
    "version": 2
  }
}