Pith Number

pith:NV2T7DWB

pith:2014:NV2T7DWB6XIL74QUUKRXENTEOX

not attested not anchored not stored refs pending

On the index of a free abelian subgroup in the group of central units of an integral group ring

Gurmeet K. Bakshi, Sugandha Maheshwary

arxiv:1408.4293 v2 · 2014-08-19 · 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{NV2T7DWB6XIL74QUUKRXENTEOX}

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	2026-05-18T00:12:51.035436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d753f8ec1f5d0bff214a2a372366475c94cddb4b4819cb3a26ff0fb0a97b456

Aliases

arxiv: 1408.4293 · arxiv_version: 1408.4293v2 · doi: 10.48550/arxiv.1408.4293 · pith_short_12: NV2T7DWB6XIL · pith_short_16: NV2T7DWB6XIL74QU · pith_short_8: NV2T7DWB

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/NV2T7DWB6XIL74QUUKRXENTEOX \
  | 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: 6d753f8ec1f5d0bff214a2a372366475c94cddb4b4819cb3a26ff0fb0a97b456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c7f10dd90cc8edf242a7171dd17d093879faf6ca65e41675514384f8f72ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-08-19T11:03:40Z",
    "title_canon_sha256": "8dd0b1652e95bf1a063be3a299fba98f7aa1e1b6d50ca25c716ef88eaefda1da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4293",
    "kind": "arxiv",
    "version": 2
  }
}