Pith Number

pith:HUXB47YG

pith:2014:HUXB47YGVTTZHT2WCUFUUWEAOM

not attested not anchored not stored refs pending

Hultman Numbers and Generalized Commuting Probability in Finite Groups

Avraham Goldstein, Robert Shwartz, Vadim E. Levit, Yonah Cherniavsky

arxiv:1403.3868 v2 · 2014-03-16 · math.GR · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUXB47YGVTTZHT2WCUFUUWEAOM}

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	2026-05-18T02:41:16.972971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d2e1e7f06ace793cf56150b4a5880730a1644266a1af49817dde361f19ca0b9

Aliases

arxiv: 1403.3868 · arxiv_version: 1403.3868v2 · doi: 10.48550/arxiv.1403.3868 · pith_short_12: HUXB47YGVTTZ · pith_short_16: HUXB47YGVTTZHT2W · pith_short_8: HUXB47YG

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/HUXB47YGVTTZHT2WCUFUUWEAOM \
  | 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: 3d2e1e7f06ace793cf56150b4a5880730a1644266a1af49817dde361f19ca0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f95481fb1634afae5b83bff82d7c172bb9bb8f1a532b09b7fc2ce84bec829f94",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-16T01:20:14Z",
    "title_canon_sha256": "578a12320e00f0c5d217ffbf979998d2d9cbfc4ea47adac02b9a283191b964bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3868",
    "kind": "arxiv",
    "version": 2
  }
}