Pith Number

pith:4LWR36TZ

pith:2025:4LWR36TZMREKQ5W7HXLHXXJAX4

not attested not anchored not stored refs pending

A lecture note on covering theory in representation theory of algebras

Bohan Xing, Nengqun Li, Pengyun Chen, Yuming Liu

arxiv:2508.01563 v5 · 2025-08-03 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LWR36TZMREKQ5W7HXLHXXJAX4}

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	2026-05-29T02:05:35.684328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ed1dfa796448a876df3dd67bdd20bf11be9038f4d4a4a668f2e8ca0c7d7d95

Aliases

arxiv: 2508.01563 · arxiv_version: 2508.01563v5 · doi: 10.48550/arxiv.2508.01563 · pith_short_12: 4LWR36TZMREK · pith_short_16: 4LWR36TZMREKQ5W7 · pith_short_8: 4LWR36TZ

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/4LWR36TZMREKQ5W7HXLHXXJAX4 \
  | 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: e2ed1dfa796448a876df3dd67bdd20bf11be9038f4d4a4a668f2e8ca0c7d7d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5edfd1a1fbedfc4241748b1b951580aa37b805bae57389898d632d72a9b317ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-03T03:23:13Z",
    "title_canon_sha256": "37d7dcec37ed9d87f94b5f133c2ec25eb55716208ebeaa8b5e1959700faa0136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01563",
    "kind": "arxiv",
    "version": 5
  }
}