Pith Number

pith:HPYDH7PN

pith:2013:HPYDH7PNKJUXPDFMMESA2BJTOR

not attested not anchored not stored refs pending

On bi-exactness of discrete quantum groups

Yusuke Isono

arxiv:1308.5103 v1 · 2013-08-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPYDH7PNKJUXPDFMMESA2BJTOR}

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	2026-05-18T03:15:08.157856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf033fded5269778cac61240d053374723efb4868a3c1a65703545b245471a1

Aliases

arxiv: 1308.5103 · arxiv_version: 1308.5103v1 · doi: 10.48550/arxiv.1308.5103 · pith_short_12: HPYDH7PNKJUX · pith_short_16: HPYDH7PNKJUXPDFM · pith_short_8: HPYDH7PN

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/HPYDH7PNKJUXPDFMMESA2BJTOR \
  | 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: 3bf033fded5269778cac61240d053374723efb4868a3c1a65703545b245471a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e6ec102027b76541fec19a6999287de8bc1f72b2efe81b186011ba370189e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-08-23T11:37:42Z",
    "title_canon_sha256": "5c589eb85bb3a6317d5510fb35a68b71c8acdc4d872c534c46bd7c26a508b9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5103",
    "kind": "arxiv",
    "version": 1
  }
}