Pith Number

pith:JUNWX3U5

pith:2024:JUNWX3U5VFBCJFVD6UC665MSCH

not attested not anchored not stored refs pending

Higher rank Nichols algebras of diagonal type with finite arithmetic root system in positive characteristic

C. Qian, C. Yuan, J. Wang, L. J. Lei

arxiv:2412.20786 v4 · 2024-12-30 · 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{JUNWX3U5VFBCJFVD6UC665MSCH}

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	2026-06-09T02:07:01.638648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d1b6bee9da9422496a3f505ef759211ed028bd1eaba84a5bc7355763c41ab16

Aliases

arxiv: 2412.20786 · arxiv_version: 2412.20786v4 · doi: 10.48550/arxiv.2412.20786 · pith_short_12: JUNWX3U5VFBC · pith_short_16: JUNWX3U5VFBCJFVD · pith_short_8: JUNWX3U5

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/JUNWX3U5VFBCJFVD6UC665MSCH \
  | 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: 4d1b6bee9da9422496a3f505ef759211ed028bd1eaba84a5bc7355763c41ab16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfbafa15cef99072bc76db543541a2ae68a41d7005c188f22d08b2fbdc858d0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-12-30T08:11:34Z",
    "title_canon_sha256": "6388cbc7a88589e3532c5f848ee91161ccbbbf600fee176ac189f560f384d71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20786",
    "kind": "arxiv",
    "version": 4
  }
}