Pith Number

pith:QHY7RGJM

pith:2011:QHY7RGJMSHXIBN5JHPAGAYZVOH

not attested not anchored not stored refs pending

A local-global principle for linear dependence of noncommutative polynomials

Igor Klep, Matej Bresar

arxiv:1103.1884 v1 · 2011-03-09 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHY7RGJMSHXIBN5JHPAGAYZVOH}

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	2026-05-18T00:17:30.945389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81f1f8992c91ee80b7a93bc060633571ef415026e8381d6e47ddd9f982635cc3

Aliases

arxiv: 1103.1884 · arxiv_version: 1103.1884v1 · doi: 10.48550/arxiv.1103.1884 · pith_short_12: QHY7RGJMSHXI · pith_short_16: QHY7RGJMSHXIBN5J · pith_short_8: QHY7RGJM

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/QHY7RGJMSHXIBN5JHPAGAYZVOH \
  | 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: 81f1f8992c91ee80b7a93bc060633571ef415026e8381d6e47ddd9f982635cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb5abf94aaa2d211d8344c984b260e7010113ea3d37e2c5cba74c22b6c8a294",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-03-09T21:03:15Z",
    "title_canon_sha256": "5c52f4c635029810babb7795fd9ada28cc46230cdb3bd9b0713d1ec3ea17b952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1884",
    "kind": "arxiv",
    "version": 1
  }
}