Pith Number

pith:ATKWINNV

pith:2014:ATKWINNVH5M22G7IKYJYXUKBXC

not attested not anchored not stored refs pending

Counting the minimal number of inflections of a plane curve

Gleb Nenashev

arxiv:1402.5659 v1 · 2014-02-23 · math.DG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATKWINNVH5M22G7IKYJYXUKBXC}

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	2026-05-18T02:58:14.095475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d56435b53f59ad1be856138bd141b8bd4668826208779efa0971de8092ce49

Aliases

arxiv: 1402.5659 · arxiv_version: 1402.5659v1 · doi: 10.48550/arxiv.1402.5659 · pith_short_12: ATKWINNVH5M2 · pith_short_16: ATKWINNVH5M22G7I · pith_short_8: ATKWINNV

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/ATKWINNVH5M22G7IKYJYXUKBXC \
  | 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: 04d56435b53f59ad1be856138bd141b8bd4668826208779efa0971de8092ce49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6922f690c04b073e8f2756c56c436103cc4c25626e7d43668936d845f5409c7a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-23T19:55:37Z",
    "title_canon_sha256": "cd955fefb92b22d62169e88a634327834b5949d4935c84df10649d929d710452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5659",
    "kind": "arxiv",
    "version": 1
  }
}