Pith Number

pith:IW3JDE3A

pith:2018:IW3JDE3ARXHRO757CZH46NTGKE

not attested not anchored not stored refs pending

Using SOS for Optimal Semialgebraic Representation of Sets: Finding Minimal Representations of Limit Cycles, Chaotic Attractors and Unions

Matthew M. Peet, Morgan Jones

arxiv:1809.10308 v1 · 2018-09-27 · math.OC · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW3JDE3ARXHRO757CZH46NTGKE}

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	2026-05-18T00:04:38.634851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b69193608dcf177fbf164fcf3666512146dacffb38c1274f670504921c8214

Aliases

arxiv: 1809.10308 · arxiv_version: 1809.10308v1 · doi: 10.48550/arxiv.1809.10308 · pith_short_12: IW3JDE3ARXHR · pith_short_16: IW3JDE3ARXHRO757 · pith_short_8: IW3JDE3A

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/IW3JDE3ARXHRO757CZH46NTGKE \
  | 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: 45b69193608dcf177fbf164fcf3666512146dacffb38c1274f670504921c8214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b208bd874ffba8590bcc52aee56b79f44f51bb3fa3bc9f5c19b6c10be848383e",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-27T01:52:16Z",
    "title_canon_sha256": "95e87888b3218ad89bc24c451ef2a8986d029abb87d6f667c2a90d9b6cb92308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10308",
    "kind": "arxiv",
    "version": 1
  }
}