Pith Number

pith:3Y2WQUDS

pith:2015:3Y2WQUDSNRABXWUSBKGTQTQLKD

not attested not anchored not stored refs pending

Integration on algebraic quantum groupoids

Thomas Timmermann

arxiv:1507.00660 v1 · 2015-07-02 · 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{3Y2WQUDSNRABXWUSBKGTQTQLKD}

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	2026-05-18T00:48:28.695966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de356850726c401bda920a8d384e0b50cd51ddb49a00581a276e98846e213fdc

Aliases

arxiv: 1507.00660 · arxiv_version: 1507.00660v1 · doi: 10.48550/arxiv.1507.00660 · pith_short_12: 3Y2WQUDSNRAB · pith_short_16: 3Y2WQUDSNRABXWUS · pith_short_8: 3Y2WQUDS

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/3Y2WQUDSNRABXWUSBKGTQTQLKD \
  | 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: de356850726c401bda920a8d384e0b50cd51ddb49a00581a276e98846e213fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae65a2902be136b456aa3f98129657e40f678e58a2072cfaa6238ee9939baeb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-07-02T17:01:27Z",
    "title_canon_sha256": "e7bdaba08dd63f8c4a543ed2e865ba8c20112964ab7005c322bff9439344f8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00660",
    "kind": "arxiv",
    "version": 1
  }
}