Pith Number

pith:UOOGIGIY

pith:2013:UOOGIGIY3OCK4K644IWLKFRM7M

not attested not anchored not stored refs pending

Homological smoothness and deformations of generalized Weyl algebras

Liyu Liu

arxiv:1304.7117 v4 · 2013-04-26 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UOOGIGIY3OCK4K644IWLKFRM7M}

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	2026-05-18T02:39:25.746487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39c641918db84ae2bdce22cb5162cfb08043b1fb52aeec70df2ae9ef4d7f3f0

Aliases

arxiv: 1304.7117 · arxiv_version: 1304.7117v4 · doi: 10.48550/arxiv.1304.7117 · pith_short_12: UOOGIGIY3OCK · pith_short_16: UOOGIGIY3OCK4K64 · pith_short_8: UOOGIGIY

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/UOOGIGIY3OCK4K644IWLKFRM7M \
  | 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: a39c641918db84ae2bdce22cb5162cfb08043b1fb52aeec70df2ae9ef4d7f3f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bee13afbf91c5fe8fccb10be3ba2b5d6bb77d1522f9d3d87a9387f794abcc8",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-26T10:28:34Z",
    "title_canon_sha256": "80e9e31d51894846b804efb1d459a862beac682a7a40cb6969c0015379329691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7117",
    "kind": "arxiv",
    "version": 4
  }
}