Pith Number

pith:NMRBACL2

pith:2012:NMRBACL2QRKUIYO2VDCYFZJEQA

not attested not anchored not stored refs pending

Quasi-Random profinite groups

Keivan Mallahi-Karai, Mohammad Bardestani

arxiv:1202.4194 v5 · 2012-02-19 · math.GR · math.CO · math.NT · 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{NMRBACL2QRKUIYO2VDCYFZJEQA}

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	2026-05-18T02:44:40.597030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2210097a84554461daa8c582e524800edc35e5d0c27e3c3c50fbbd3f11261b

Aliases

arxiv: 1202.4194 · arxiv_version: 1202.4194v5 · doi: 10.48550/arxiv.1202.4194 · pith_short_12: NMRBACL2QRKU · pith_short_16: NMRBACL2QRKUIYO2 · pith_short_8: NMRBACL2

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/NMRBACL2QRKUIYO2VDCYFZJEQA \
  | 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: 6b2210097a84554461daa8c582e524800edc35e5d0c27e3c3c50fbbd3f11261b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cfffe907e53b15d8b63965649b30473f97af262e5a3d69b7ba177a833acaaf2",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-02-19T22:31:27Z",
    "title_canon_sha256": "04e9e85b8b119ce8a1b23e0a82054e56a4e5961d3ac62f422b5e78c64b5859f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4194",
    "kind": "arxiv",
    "version": 5
  }
}