Pith Number

pith:JQHPVD6J

pith:2000:JQHPVD6JIT4M56V65RPVOL5YHO

not attested not anchored not stored refs pending

The structure of smooth algebras in Kapranov's framework for noncommutative geometry

Guillermo Corti\~nas

arxiv:math/0002177 v1 · 2000-02-22 · math.RA · 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{JQHPVD6JIT4M56V65RPVOL5YHO}

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	2026-05-18T04:16:23.597788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0efa8fc944f8cefabeec5f572fb83bbba37ea0f28551d387409f2aa8c208a0

Aliases

arxiv: math/0002177 · arxiv_version: math/0002177v1 · doi: 10.48550/arxiv.math/0002177 · pith_short_12: JQHPVD6JIT4M · pith_short_16: JQHPVD6JIT4M56V6 · pith_short_8: JQHPVD6J

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/JQHPVD6JIT4M56V65RPVOL5YHO \
  | 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: 4c0efa8fc944f8cefabeec5f572fb83bbba37ea0f28551d387409f2aa8c208a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a5f2cd4000910293748efed3a4942723c7a317867a7d659e826090fb5f7e3bf",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2000-02-22T08:22:49Z",
    "title_canon_sha256": "5b1f6dccd8d4dbbef19ecf3a7333114bab0e6db973b4b768010c42840e319671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002177",
    "kind": "arxiv",
    "version": 1
  }
}