Pith Number

pith:76RIQDES

pith:2012:76RIQDES2TRMLJQ3H6RNQUABVA

not attested not anchored not stored refs pending

p-Group Camina pairs

Mark L. Lewis

arxiv:1201.3875 v1 · 2012-01-18 · 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{76RIQDES2TRMLJQ3H6RNQUABVA}

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	2026-05-18T02:37:52.333002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa2880c92d4e2c5a61b3fa2d85001a83404bd6c6a671a94869fe31853815cf9

Aliases

arxiv: 1201.3875 · arxiv_version: 1201.3875v1 · doi: 10.48550/arxiv.1201.3875 · pith_short_12: 76RIQDES2TRM · pith_short_16: 76RIQDES2TRMLJQ3 · pith_short_8: 76RIQDES

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/76RIQDES2TRMLJQ3H6RNQUABVA \
  | 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: ffa2880c92d4e2c5a61b3fa2d85001a83404bd6c6a671a94869fe31853815cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbfd06939690b44b506f2d7a333f3e785f701b292d0462a2bb7e1efb3f05c96b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-18T18:40:21Z",
    "title_canon_sha256": "cdc85aaed73b935d58f39a9c9551a8e0cd8b4313768f0718ed297802785c0ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3875",
    "kind": "arxiv",
    "version": 1
  }
}