Pith Number

pith:JV74IOJO

pith:2001:JV74IOJOYVUGQWIOQYFQ42LDDL

not attested not anchored not stored refs pending

Hilbert series of quadratic algebras associated with pseudo-roots of noncommutative polynomials

Israel Gelfand, Robert Lee Wilson, Sergei Gelfand, Shirlei Serconek, Vladimir Retakh

arxiv:math/0109007 v2 · 2001-09-02 · math.QA · 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{JV74IOJOYVUGQWIOQYFQ42LDDL}

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	2026-07-04T14:35:30.288661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d7fc4392ec56868590e860b0e69631adddab6707ba6ab55e816821cabe54e35

Aliases

arxiv: math/0109007 · arxiv_version: math/0109007v2 · doi: 10.48550/arxiv.math/0109007 · pith_short_12: JV74IOJOYVUG · pith_short_16: JV74IOJOYVUGQWIO · pith_short_8: JV74IOJO

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/JV74IOJOYVUGQWIOQYFQ42LDDL \
  | 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: 4d7fc4392ec56868590e860b0e69631adddab6707ba6ab55e816821cabe54e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd2cd692017a3de20aa105f44e34bd815462dbdbe703c61daa18c1d992c45cc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-09-02T14:53:12Z",
    "title_canon_sha256": "7346bc4b7b327ca735a3478489c3fd7bd7aeadca8eac897e4673d28017301e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109007",
    "kind": "arxiv",
    "version": 2
  }
}