Pith Number

pith:72737IE6

pith:2016:72737IE6YLY2ZZMTS4SF4LVHDP

not attested not anchored not stored refs pending

Morita equivalence classes of blocks with elementary abelian defect groups of order 16

Charles W. Eaton

arxiv:1612.03485 v4 · 2016-12-11 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72737IE6YLY2ZZMTS4SF4LVHDP}

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	2026-05-17T23:46:11.386573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febfbfa09ec2f1ace59397245e2ea71bf2f6bca838f60ed0512005554ab26111

Aliases

arxiv: 1612.03485 · arxiv_version: 1612.03485v4 · doi: 10.48550/arxiv.1612.03485 · pith_short_12: 72737IE6YLY2 · pith_short_16: 72737IE6YLY2ZZMT · pith_short_8: 72737IE6

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/72737IE6YLY2ZZMTS4SF4LVHDP \
  | 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: febfbfa09ec2f1ace59397245e2ea71bf2f6bca838f60ed0512005554ab26111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397fe39f926f7742cbf7a21d36e2cd528440ff7bf9e5b4d3d0b6135837ac9a9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-11T21:57:13Z",
    "title_canon_sha256": "bc8b5e2075c0072b0b593dac8e71e1bcea5339f3397f3ff2dfeb5dd43f744f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03485",
    "kind": "arxiv",
    "version": 4
  }
}