Pith Number

pith:6NUMLFOW

pith:2011:6NUMLFOW6RV34FMA5GTKIVL5EM

not attested not anchored not stored refs pending

A Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms

Bill Helton, Christopher Nelson, Jaka Cimpric, Scott McCullough

arxiv:1105.4150 v3 · 2011-05-20 · math.FA · 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{6NUMLFOW6RV34FMA5GTKIVL5EM}

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	2026-05-18T02:58:00.888771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f368c595d6f46bbe1580e9a6a4557d230aed16a9d648dcab0245e949dbe0ccda

Aliases

arxiv: 1105.4150 · arxiv_version: 1105.4150v3 · doi: 10.48550/arxiv.1105.4150 · pith_short_12: 6NUMLFOW6RV3 · pith_short_16: 6NUMLFOW6RV34FMA · pith_short_8: 6NUMLFOW

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/6NUMLFOW6RV34FMA5GTKIVL5EM \
  | 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: f368c595d6f46bbe1580e9a6a4557d230aed16a9d648dcab0245e949dbe0ccda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09553f4cf8c16dc4a731e7bd57e7cb69d34823715b2e3024c1fd4cb9bb0bf1e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-20T18:55:19Z",
    "title_canon_sha256": "a3eecb60bc1fdf2ef08abca728fd82caa83ca1a71be1f536d5dbcff3411728c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4150",
    "kind": "arxiv",
    "version": 3
  }
}