Pith Number

pith:XFLFUBLR

pith:2011:XFLFUBLRPT72SQM3SZNL23SRGK

not attested not anchored not stored refs pending

On properties of (weakly) small groups

C\'edric Milliet (ICJ)

arxiv:1104.0290 v1 · 2011-04-02 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFLFUBLRPT72SQM3SZNL23SRGK}

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	2026-05-17T23:52:29.610242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9565a05717cffa9419b965abd6e51329a03d7921aba2dcf8b5d9144673942cc

Aliases

arxiv: 1104.0290 · arxiv_version: 1104.0290v1 · doi: 10.48550/arxiv.1104.0290 · pith_short_12: XFLFUBLRPT72 · pith_short_16: XFLFUBLRPT72SQM3 · pith_short_8: XFLFUBLR

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/XFLFUBLRPT72SQM3SZNL23SRGK \
  | 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: b9565a05717cffa9419b965abd6e51329a03d7921aba2dcf8b5d9144673942cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3861b0fe8d2e2096ef1d58c6a01d620c22102a42dfdecdd5015acd44fdcf5290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-04-02T06:06:08Z",
    "title_canon_sha256": "efdffd7383b244d45cd9a29004668f7fc0821b52e2007735e1197b06cc596d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0290",
    "kind": "arxiv",
    "version": 1
  }
}