Pith Number

pith:MS6RYIX5

pith:2000:MS6RYIX56HHA67YD7IVCS3MOGS

not attested not anchored not stored refs pending

Quadratic-linar algebras associated with factorizations of noncommutative polynomials and noncommutative differential polynomials

Israel Gelfand, Robert Lee Wilson, Vladimir Retakh

arxiv:math/0002238 v4 · 2000-02-28 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS6RYIX56HHA67YD7IVCS3MOGS}

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	2026-07-04T14:34:23.863434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64bd1c22fdf1ce0f7f03fa2a296d8e34aa1944ad88a5d706f4dc16bb36a67048

Aliases

arxiv: math/0002238 · arxiv_version: math/0002238v4 · doi: 10.48550/arxiv.math/0002238 · pith_short_12: MS6RYIX56HHA · pith_short_16: MS6RYIX56HHA67YD · pith_short_8: MS6RYIX5

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/MS6RYIX56HHA67YD7IVCS3MOGS \
  | 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: 64bd1c22fdf1ce0f7f03fa2a296d8e34aa1944ad88a5d706f4dc16bb36a67048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ff5ac93bd74fa50732a312fe7c5e125061c6c7701949c1bf4135499dbd1973",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-02-28T16:16:29Z",
    "title_canon_sha256": "37ff59483507d7baa8f4511a0becafe5f4f87bb149bff9e6b8d2fca91c52e354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002238",
    "kind": "arxiv",
    "version": 4
  }
}