Pith Number

pith:VW4KAEY7

pith:2012:VW4KAEY743U5PVJ4GPGBRWXGSC

not attested not anchored not stored refs pending

Constructive proofs of some positivstellens\"atze for compact semialgebraic subsets of $\mathbb{R}^d$

Gennadiy Averkov

arxiv:1201.4066 v2 · 2012-01-19 · math.AG · math.AC · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VW4KAEY743U5PVJ4GPGBRWXGSC}

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	2026-05-18T04:00:15.219760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb8a0131fe6e9d7d53c33cc18dae6908c5b6fd4a41a2fb40f173fa3bfb79c03

Aliases

arxiv: 1201.4066 · arxiv_version: 1201.4066v2 · doi: 10.48550/arxiv.1201.4066 · pith_short_12: VW4KAEY743U5 · pith_short_16: VW4KAEY743U5PVJ4 · pith_short_8: VW4KAEY7

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/VW4KAEY743U5PVJ4GPGBRWXGSC \
  | 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: adb8a0131fe6e9d7d53c33cc18dae6908c5b6fd4a41a2fb40f173fa3bfb79c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2053a86afb893069b82c085cfa290c171347e88fa82a24e8308d3f352e7eef97",
    "cross_cats_sorted": [
      "math.AC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-19T14:19:50Z",
    "title_canon_sha256": "3ddc37a518172fa76a3847c752e1eb797f6b90d31c9ab2fa242c9668a48ee5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4066",
    "kind": "arxiv",
    "version": 2
  }
}