Pith Number

pith:UUNN73LL

pith:2011:UUNN73LLHKMHB7KQQVGARQJTHK

not attested not anchored not stored refs pending

Positive laws on large sets of generators: counterexamples for infinitely generated groups

C. Acciarri, G.A. Fern\'andez-Alcober

arxiv:1108.0692 v1 · 2011-08-02 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUNN73LLHKMHB7KQQVGARQJTHK}

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	2026-05-18T04:16:22.139428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a51adfed6b3a9870fd50854c08c1333a9408b629c5c08e7fe1aa1b1194996997

Aliases

arxiv: 1108.0692 · arxiv_version: 1108.0692v1 · doi: 10.48550/arxiv.1108.0692 · pith_short_12: UUNN73LLHKMH · pith_short_16: UUNN73LLHKMHB7KQ · pith_short_8: UUNN73LL

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/UUNN73LLHKMHB7KQQVGARQJTHK \
  | 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: a51adfed6b3a9870fd50854c08c1333a9408b629c5c08e7fe1aa1b1194996997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d34b58db51a670f24a8082375ecbd7e28e20c2223bf28b6a8ed913fdf1c033a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-02T21:02:37Z",
    "title_canon_sha256": "f8fff3a471819898e36d6e6cf2d803acd0d5497b3a31f9448db91ae959a28008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0692",
    "kind": "arxiv",
    "version": 1
  }
}