Pith Number

pith:D2I6L7DM

pith:2011:D2I6L7DMUAESJ6DQ4MZH35PV3O

not attested not anchored not stored refs pending

Competitive Lotka-Volterra Population Dynamics with Jumps

Chenggui Yuan, Geroge Yin, Jianhai Bao, Xuerong Mao

arxiv:1102.2163 v1 · 2011-02-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2I6L7DMUAESJ6DQ4MZH35PV3O}

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	2026-05-18T04:29:34.108159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e91e5fc6ca00924f870e3327df5f5db88d6bce2a65226790b2f1e16f2ed3f72

Aliases

arxiv: 1102.2163 · arxiv_version: 1102.2163v1 · doi: 10.48550/arxiv.1102.2163 · pith_short_12: D2I6L7DMUAES · pith_short_16: D2I6L7DMUAESJ6DQ · pith_short_8: D2I6L7DM

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/D2I6L7DMUAESJ6DQ4MZH35PV3O \
  | 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: 1e91e5fc6ca00924f870e3327df5f5db88d6bce2a65226790b2f1e16f2ed3f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f62ea650a76f14f4dac3018ffc54dff2e2d781d75b6910287d60f20eaa293c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-10T16:25:35Z",
    "title_canon_sha256": "06de1a09909fe4af0e6f09e1516c54c474e074bd36ff8daf64304ebc6ad04952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2163",
    "kind": "arxiv",
    "version": 1
  }
}