Pith Number

pith:JZK5KONT

pith:2026:JZK5KONTOY5K7CVK5X3MD3TR4K

not attested not anchored not stored refs pending

Parabolic second-order tangent sets of semialgebraic sets and applications to polynomial optimization

Cong Trinh Le

arxiv:2606.06849 v1 · 2026-06-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZK5KONTOY5K7CVK5X3MD3TR4K}

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	2026-06-08T01:04:31.671082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e55d539b3763aaf8aaaedf6c1ee71e299529e88f8246bf54f80bbf385163d49

Aliases

arxiv: 2606.06849 · arxiv_version: 2606.06849v1 · doi: 10.48550/arxiv.2606.06849 · pith_short_12: JZK5KONTOY5K · pith_short_16: JZK5KONTOY5K7CVK · pith_short_8: JZK5KONT

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/JZK5KONTOY5K7CVK5X3MD3TR4K \
  | 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: 4e55d539b3763aaf8aaaedf6c1ee71e299529e88f8246bf54f80bbf385163d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8639e3a4731860f0f302edad2f5c6400906cca0e9d5cf82809bf24168b5cf9eb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-05T02:48:15Z",
    "title_canon_sha256": "4c62e816e59e736364ec5b55bb4e5c104970d2cb3730cd5f3ddd37afb25b47ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06849",
    "kind": "arxiv",
    "version": 1
  }
}