Pith Number

pith:7I3WAA45

pith:2014:7I3WAA456OM5Z7LGSFQEAVIREA

not attested not anchored not stored refs pending

Products of finite groups and nonmeasurable subgroups

F. Javier Trigos-Arrieta

arxiv:1407.0758 v1 · 2014-07-03 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7I3WAA456OM5Z7LGSFQEAVIREA}

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	2026-05-18T02:48:25.439983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa3760039df399dcfd6691604055112035a0e842baa786326dbfe2584eaad5f4

Aliases

arxiv: 1407.0758 · arxiv_version: 1407.0758v1 · doi: 10.48550/arxiv.1407.0758 · pith_short_12: 7I3WAA456OM5 · pith_short_16: 7I3WAA456OM5Z7LG · pith_short_8: 7I3WAA45

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/7I3WAA456OM5Z7LGSFQEAVIREA \
  | 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: fa3760039df399dcfd6691604055112035a0e842baa786326dbfe2584eaad5f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7e1f9c81344eead1d0f2708b376caa684b5e69bc85d8b6f1fd6790c123957a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2014-07-03T01:28:02Z",
    "title_canon_sha256": "b9a65f39f973127a03a8830e33145e3bd0de3bb2281c5ae838e527debfa70888"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0758",
    "kind": "arxiv",
    "version": 1
  }
}