Pith Number

pith:WAJNLUPO

pith:2011:WAJNLUPOLGOVXZV7RY3BUFNTH6

not attested not anchored not stored refs pending

Non-commutative quadric surfaces

M. Van den Bergh, S. Paul Smith

arxiv:1108.1552 v1 · 2011-08-07 · 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{WAJNLUPOLGOVXZV7RY3BUFNTH6}

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	2026-05-18T04:16:00.749250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b012d5d1ee599d5be6bf8e361a15b33f9f6bbf5cc09a4be9b856eeb383a12692

Aliases

arxiv: 1108.1552 · arxiv_version: 1108.1552v1 · doi: 10.48550/arxiv.1108.1552 · pith_short_12: WAJNLUPOLGOV · pith_short_16: WAJNLUPOLGOVXZV7 · pith_short_8: WAJNLUPO

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/WAJNLUPOLGOVXZV7RY3BUFNTH6 \
  | 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: b012d5d1ee599d5be6bf8e361a15b33f9f6bbf5cc09a4be9b856eeb383a12692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125629c67259e3d9ddd5f68f18ed83a270c4a373ef05465e709d58400c2007e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-07T15:53:44Z",
    "title_canon_sha256": "38c5f97c2749286a49649562f90710eaa663064864e8ff0c943d42b2c3cf4378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1552",
    "kind": "arxiv",
    "version": 1
  }
}