Pith Number

pith:BR4OYUFF

pith:2017:BR4OYUFF723ZBOA6CGBOYVNLMF

not attested not anchored not stored refs pending

Classifying blocks with abelian defect groups of rank $3$ for the prime $2$

Charles Eaton, Michael Livesey

arxiv:1709.04331 v2 · 2017-09-13 · 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{BR4OYUFF723ZBOA6CGBOYVNLMF}

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	2026-05-18T00:32:57.297962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c78ec50a5feb790b81e1182ec55ab616c7b2b72e71642cf2f093cccb1b337b0

Aliases

arxiv: 1709.04331 · arxiv_version: 1709.04331v2 · doi: 10.48550/arxiv.1709.04331 · pith_short_12: BR4OYUFF723Z · pith_short_16: BR4OYUFF723ZBOA6 · pith_short_8: BR4OYUFF

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/BR4OYUFF723ZBOA6CGBOYVNLMF \
  | 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: 0c78ec50a5feb790b81e1182ec55ab616c7b2b72e71642cf2f093cccb1b337b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5ba2d3069f5a8b930e0a04ed94ce474be185795a3a83102e94f8c5d0c08290e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-13T13:55:11Z",
    "title_canon_sha256": "02952d2e22ec2e2e6d3f872c94e9bdc2e0cd68f8616b163f3a6f5b925e934443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04331",
    "kind": "arxiv",
    "version": 2
  }
}