Pith Number

pith:HJGCTDJE

pith:2011:HJGCTDJEBPW2GX3FFJT26P344F

not attested not anchored not stored refs pending

Local Integrability and Linearizability of Three-dimensional Lotka-Volterra Systems

Colin Christopher, Waleed Aziz

arxiv:1111.2773 v1 · 2011-11-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJGCTDJEBPW2GX3FFJT26P344F}

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	2026-05-18T04:08:25.125086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4c298d240beda35f652a67af3f7ce17c98059c4a6cf43854f51d952faf54db

Aliases

arxiv: 1111.2773 · arxiv_version: 1111.2773v1 · doi: 10.48550/arxiv.1111.2773 · pith_short_12: HJGCTDJEBPW2 · pith_short_16: HJGCTDJEBPW2GX3F · pith_short_8: HJGCTDJE

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/HJGCTDJEBPW2GX3FFJT26P344F \
  | 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: 3a4c298d240beda35f652a67af3f7ce17c98059c4a6cf43854f51d952faf54db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0be6d54a8b4e3392e1d258bf29984ca9161cf69fbd2c075d0a03ad4f74a293c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-11T15:16:23Z",
    "title_canon_sha256": "c909920202d06f27de23b843851379d3c6f05dc376d4b31ee2ffa04d6befe479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2773",
    "kind": "arxiv",
    "version": 1
  }
}