Pith Number

pith:KKUF24NF

pith:2017:KKUF24NFLRBPPPWI45UTB2TPI7

not attested not anchored not stored refs pending

Geometry of free loci and factorization of noncommutative polynomials

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

arxiv:1708.05378 v2 · 2017-08-17 · math.RA · 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{KKUF24NFLRBPPPWI45UTB2TPI7}

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	2026-05-18T00:13:55.278997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a85d71a55c42f7bec8e76930ea6f47c5f6087d1485a5014e5ebd354b87d010

Aliases

arxiv: 1708.05378 · arxiv_version: 1708.05378v2 · doi: 10.48550/arxiv.1708.05378 · pith_short_12: KKUF24NFLRBP · pith_short_16: KKUF24NFLRBPPPWI · pith_short_8: KKUF24NF

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/KKUF24NFLRBPPPWI45UTB2TPI7 \
  | 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: 52a85d71a55c42f7bec8e76930ea6f47c5f6087d1485a5014e5ebd354b87d010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069a12b7640e23afdb838af7758f101eedd7113807d7a44e96dabf15ddca9548",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-17T17:49:18Z",
    "title_canon_sha256": "805b3934ac82696d81d0584e45ddd6a82ba34de958dc00f96c989c89b27def96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05378",
    "kind": "arxiv",
    "version": 2
  }
}