Pith Number

pith:KALKMVSH

pith:2016:KALKMVSHTNOEOH3DCYNDKA4BTM

not attested not anchored not stored refs pending

On duality of algebraic quantum groupoids

Thomas Timmermann

arxiv:1605.06384 v2 · 2016-05-20 · 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{KALKMVSHTNOEOH3DCYNDKA4BTM}

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	2026-05-18T00:34:52.854511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5016a656479b5c471f63161a3503819b3cfd94e21e922ef271cb5a3b9db85524

Aliases

arxiv: 1605.06384 · arxiv_version: 1605.06384v2 · doi: 10.48550/arxiv.1605.06384 · pith_short_12: KALKMVSHTNOE · pith_short_16: KALKMVSHTNOEOH3D · pith_short_8: KALKMVSH

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/KALKMVSHTNOEOH3DCYNDKA4BTM \
  | 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: 5016a656479b5c471f63161a3503819b3cfd94e21e922ef271cb5a3b9db85524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064d43046c3854de9f3e6ea3db58d106f77fb02562f1270f1c09342db626905e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-05-20T14:47:13Z",
    "title_canon_sha256": "02f91804d73bf33c67cdc61436aa8289bae9ea9c59e941e598bb5e92f5f9cefd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06384",
    "kind": "arxiv",
    "version": 2
  }
}