Pith Number

pith:ZPLB7IQC

pith:2012:ZPLB7IQCKNVXGCY6S5B6UAUCRD

not attested not anchored not stored refs pending

On real one-sided ideals in a free algebra

Christopher Nelson, Igor Klep, Jakob Cimpri\v{c}, J. William Helton, Scott McCullough

arxiv:1208.4837 v2 · 2012-08-23 · math.RA · 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{ZPLB7IQCKNVXGCY6S5B6UAUCRD}

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	2026-05-18T00:17:30.929667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd61fa202536b730b1e9743ea028288faa89fb21d226ae01e87e212bf7bf4a0

Aliases

arxiv: 1208.4837 · arxiv_version: 1208.4837v2 · doi: 10.48550/arxiv.1208.4837 · pith_short_12: ZPLB7IQCKNVX · pith_short_16: ZPLB7IQCKNVXGCY6 · pith_short_8: ZPLB7IQC

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/ZPLB7IQCKNVXGCY6S5B6UAUCRD \
  | 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: cbd61fa202536b730b1e9743ea028288faa89fb21d226ae01e87e212bf7bf4a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b473484dd316c3ff8d82b14759e983c576e7c00fbf64d538699963a4acc2b1ec",
    "cross_cats_sorted": [
      "math.AG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-08-23T19:47:33Z",
    "title_canon_sha256": "f908c89ea01610c488c62733a41cca46a442aa4938f1ebcf37ceca09d9c9e06d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4837",
    "kind": "arxiv",
    "version": 2
  }
}