Pith Number

pith:LI3AEWOT

pith:2015:LI3AEWOTFW2NKRJXPXF5EFLZXM

not attested not anchored not stored refs pending

Convexifying positive polynomials and sums of squares approximation

Krzysztof Kurdyka, Stanis{\l}aw Spodzieja

arxiv:1507.06191 v1 · 2015-07-22 · 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{LI3AEWOTFW2NKRJXPXF5EFLZXM}

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	2026-05-18T01:36:26.432038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a360259d32db4d545377dcbd21579bb2884e61ebe5feb71bb27f0103e9f15ef

Aliases

arxiv: 1507.06191 · arxiv_version: 1507.06191v1 · doi: 10.48550/arxiv.1507.06191 · pith_short_12: LI3AEWOTFW2N · pith_short_16: LI3AEWOTFW2NKRJX · pith_short_8: LI3AEWOT

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/LI3AEWOTFW2NKRJXPXF5EFLZXM \
  | 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: 5a360259d32db4d545377dcbd21579bb2884e61ebe5feb71bb27f0103e9f15ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be0c2b623b5093bdca339955a7174186d223160704d161fcf495b6a1fbe01877",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-22T14:05:13Z",
    "title_canon_sha256": "5b6cf3f886e16c7ef945af8594956187b391bf97160303d2bd5743f2f635b720"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06191",
    "kind": "arxiv",
    "version": 1
  }
}