Pith Number

pith:KAIXG7XK

pith:2012:KAIXG7XKDGGXUUZRVKUFTI6WKF

not attested not anchored not stored refs pending

On the cohomology of the Weyl algebra, the quantum plane, and the q-Weyl algebra

Anthony Giaquinto, Murray Gerstenhaber

arxiv:1208.0346 v1 · 2012-08-01 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAIXG7XKDGGXUUZRVKUFTI6WKF}

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	2026-05-18T03:49:34.458602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5011737eea198d7a5331aaa859a3d6516d56db31112a3fe5df13c48115224ef4

Aliases

arxiv: 1208.0346 · arxiv_version: 1208.0346v1 · doi: 10.48550/arxiv.1208.0346 · pith_short_12: KAIXG7XKDGGX · pith_short_16: KAIXG7XKDGGXUUZR · pith_short_8: KAIXG7XK

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/KAIXG7XKDGGXUUZRVKUFTI6WKF \
  | 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: 5011737eea198d7a5331aaa859a3d6516d56db31112a3fe5df13c48115224ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "575d956f57ff7d9889f582a07cc44d465d002a583b4db6be96854ec9b4e795a5",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-08-01T20:01:48Z",
    "title_canon_sha256": "a9358c07e01bb04fc8128571d417090a2b4a021bf08ab7b6950fb1fc72c8906c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0346",
    "kind": "arxiv",
    "version": 1
  }
}