Pith Number

pith:XANQF4HV

pith:2018:XANQF4HVBP2YGIH67RYGVF43JV

not attested not anchored not stored refs pending

Knit product of finite groups and sampling

Albert Ibort, Antonio G. Garc\'ia, Miguel A. Hern\'andez-Medina

arxiv:1806.11481 v1 · 2018-06-28 · math.FA · 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{XANQF4HVBP2YGIH67RYGVF43JV}

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	2026-05-18T00:12:01.737003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81b02f0f50bf58320fefc706a979b4d55579b4513abc7b375ccdf154eb8c4e8

Aliases

arxiv: 1806.11481 · arxiv_version: 1806.11481v1 · doi: 10.48550/arxiv.1806.11481 · pith_short_12: XANQF4HVBP2Y · pith_short_16: XANQF4HVBP2YGIH6 · pith_short_8: XANQF4HV

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/XANQF4HVBP2YGIH67RYGVF43JV \
  | 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: b81b02f0f50bf58320fefc706a979b4d55579b4513abc7b375ccdf154eb8c4e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "784916cedf249cac8019c2b5990b6ca33455d49f1449e9a794beff8d69bf0e65",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-28T16:32:02Z",
    "title_canon_sha256": "1e124c6673ecb8d4b649cf370a97d4cf1d5b8fbf6e0c4f7eb930151bcf76050e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11481",
    "kind": "arxiv",
    "version": 1
  }
}