Pith Number

pith:JQ4D3452

pith:2019:JQ4D3452RVNMJWMQNRPQNUU4L7

not attested not anchored not stored refs pending

Factorization of noncommutative polynomials and Nullstellens\"atze for the free algebra

Igor Klep, Jurij Vol\v{c}i\v{c}, J. William Helton

arxiv:1907.04328 v2 · 2019-07-09 · 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{JQ4D3452RVNMJWMQNRPQNUU4L7}

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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.

Cited by

1 paper in Pith

Free Bertini's theorem and applications

Receipt and verification

First computed	2026-07-05T04:22:48.496837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c383df3ba8d5ac4d9906c5f06d29c5fdc1c2976e49011b344d52d77fdd4747b

Aliases

arxiv: 1907.04328 · arxiv_version: 1907.04328v2 · doi: 10.48550/arxiv.1907.04328 · pith_short_12: JQ4D3452RVNM · pith_short_16: JQ4D3452RVNMJWMQ · pith_short_8: JQ4D3452

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/JQ4D3452RVNMJWMQNRPQNUU4L7 \
  | 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: 4c383df3ba8d5ac4d9906c5f06d29c5fdc1c2976e49011b344d52d77fdd4747b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411610a12079e94367296e6c4dd7c3a86053de9aaa83f9c5ab0c50dc476bb6fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-07-09T18:00:00Z",
    "title_canon_sha256": "fab215e6e9dda6a87025d0f64674ebf11a7612e195f6fab716c48f231c531784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04328",
    "kind": "arxiv",
    "version": 2
  }
}