Pith Number

pith:MHUWUZLN

pith:2015:MHUWUZLNGVEKPLEQSEN4WZAQ2V

not attested not anchored not stored refs pending

Braided $\mathbb{Z}_q$-extensions of pointed fusion categories

Jingcheng Dong

arxiv:1508.05501 v1 · 2015-08-22 · 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{MHUWUZLNGVEKPLEQSEN4WZAQ2V}

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	2026-05-18T01:34:53.778016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e96a656d3548a7ac90911bcb6410d56bce503080099d3e36976e4880acb23c

Aliases

arxiv: 1508.05501 · arxiv_version: 1508.05501v1 · doi: 10.48550/arxiv.1508.05501 · pith_short_12: MHUWUZLNGVEK · pith_short_16: MHUWUZLNGVEKPLEQ · pith_short_8: MHUWUZLN

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/MHUWUZLNGVEKPLEQSEN4WZAQ2V \
  | 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: 61e96a656d3548a7ac90911bcb6410d56bce503080099d3e36976e4880acb23c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0955e09a14686ccbf457e37277a5b2402e9c12779a659afd8cd9cea5b8b194e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-08-22T12:19:59Z",
    "title_canon_sha256": "45a54537bd1cdf24895566f402eec2eb0c2115c8c63d609f48291a8086301216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05501",
    "kind": "arxiv",
    "version": 1
  }
}