Pith Number

pith:WSVTH7WK

pith:2010:WSVTH7WK7VL43CIRMJMSJYCC4L

not attested not anchored not stored refs pending

Noncommutative Positivstellens\"atze for pairs representation-vector

Jaka Cimpric

arxiv:1011.4927 v2 · 2010-11-22 · math.AG · 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{WSVTH7WK7VL43CIRMJMSJYCC4L}

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	2026-05-18T03:19:11.997605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4ab33fecafd57cd8911625924e042e2e49b0946ca40b697befe0efbb167aa25

Aliases

arxiv: 1011.4927 · arxiv_version: 1011.4927v2 · doi: 10.48550/arxiv.1011.4927 · pith_short_12: WSVTH7WK7VL4 · pith_short_16: WSVTH7WK7VL43CIR · pith_short_8: WSVTH7WK

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/WSVTH7WK7VL43CIRMJMSJYCC4L \
  | 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: b4ab33fecafd57cd8911625924e042e2e49b0946ca40b697befe0efbb167aa25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e299e0fbc80eb54e0cea3a0543d3670cb1fd38ece23a353d5a03be4ff61691",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-22T20:24:18Z",
    "title_canon_sha256": "f4c78f5349043480a83d6ce38fee09c8f0ac77d3debf4eaf4c31713fcf7d1a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4927",
    "kind": "arxiv",
    "version": 2
  }
}