Pith Number

pith:7DI2ODPU

pith:2016:7DI2ODPUIFTVCKGF3G3WTBXYMS

not attested not anchored not stored refs pending

Integral group rings with all central units trivial

Gurmeet K. Bakshi, Inder Bir S. Passi, Sugandha Maheshwary

arxiv:1606.06860 v1 · 2016-06-22 · 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{7DI2ODPUIFTVCKGF3G3WTBXYMS}

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	2026-05-18T00:12:50.896792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d1a70df441675128c5d9b76986f864b6d8aa2e36be6e9797dbd5d6602c1b29

Aliases

arxiv: 1606.06860 · arxiv_version: 1606.06860v1 · doi: 10.48550/arxiv.1606.06860 · pith_short_12: 7DI2ODPUIFTV · pith_short_16: 7DI2ODPUIFTVCKGF · pith_short_8: 7DI2ODPU

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/7DI2ODPUIFTVCKGF3G3WTBXYMS \
  | 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: f8d1a70df441675128c5d9b76986f864b6d8aa2e36be6e9797dbd5d6602c1b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e897e9f0bdb904dfc14c1a19ada32054c4addca4e15c003518cf76df6d0ac14c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-22T09:08:23Z",
    "title_canon_sha256": "4207ded517cb47fbdc75910430eba277e307eb689421d203451ecfd2bd9299dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06860",
    "kind": "arxiv",
    "version": 1
  }
}