Pith Number

pith:YFZZVKIO

pith:2024:YFZZVKIOXBXN2K4SN7K2PBWPJZ

not attested not anchored not stored refs pending

Classification of right nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$

Snehashis Mukherjee

arxiv:2403.14975 v1 · 2024-03-22 · math.QA · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFZZVKIOXBXN2K4SN7K2PBWPJZ}

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	2026-07-05T07:59:28.505636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1739aa90eb86edd2b926fd5a786cf4e73275d93651c2b7ef2a5911e21d29c0a

Aliases

arxiv: 2403.14975 · arxiv_version: 2403.14975v1 · doi: 10.48550/arxiv.2403.14975 · pith_short_12: YFZZVKIOXBXN · pith_short_16: YFZZVKIOXBXN2K4S · pith_short_8: YFZZVKIO

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/YFZZVKIOXBXN2K4SN7K2PBWPJZ \
  | 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: c1739aa90eb86edd2b926fd5a786cf4e73275d93651c2b7ef2a5911e21d29c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba9f1305c22fb8af96bf991b0e76a2fdc145e61a6c52c4ad348724246d16c91d",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-03-22T06:17:29Z",
    "title_canon_sha256": "09e6340c908c27b944b7deb01d665004c0da611c4266a5dcd120e95004d22207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.14975",
    "kind": "arxiv",
    "version": 1
  }
}