Pith Number

pith:WTT763EO

pith:2013:WTT763EOO2HCWXH4S4FCSN2GZF

not attested not anchored not stored refs pending

Matrix Convex Hulls of Free Semialgebraic Sets

Igor Klep, J. William Helton, Scott McCullough

arxiv:1311.5286 v3 · 2013-11-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTT763EOO2HCWXH4S4FCSN2GZF}

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	2026-05-18T00:17:30.895308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e7ff6c8e768e2b5cfc970a293746c954ee3be08ed70c9251961cd8864be609

Aliases

arxiv: 1311.5286 · arxiv_version: 1311.5286v3 · doi: 10.48550/arxiv.1311.5286 · pith_short_12: WTT763EOO2HC · pith_short_16: WTT763EOO2HCWXH4 · pith_short_8: WTT763EO

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/WTT763EOO2HCWXH4S4FCSN2GZF \
  | 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: b4e7ff6c8e768e2b5cfc970a293746c954ee3be08ed70c9251961cd8864be609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2eaa400d9805ddbb2504af9ff655a33779b80bdeeacdb4e085b46e0d19a5e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-21T01:22:25Z",
    "title_canon_sha256": "00036d91d78cb564aef90bb5f8e6e4a25347559126728a27814230e46ced8853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5286",
    "kind": "arxiv",
    "version": 3
  }
}