Pith Number

pith:G42WNVFY

pith:2018:G42WNVFYKFTD4AYA2JHM5X2ENY

not attested not anchored not stored refs pending

The Burnside problem for locally compact groups

Thibault Pillon, Thibaut Dumont

arxiv:1812.11743 v1 · 2018-12-31 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G42WNVFYKFTD4AYA2JHM5X2ENY}

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	2026-05-17T23:57:11.223852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

373566d4b851663e0300d24ecedf446e26f0d4251cf1780c6734bb9e7a83fda8

Aliases

arxiv: 1812.11743 · arxiv_version: 1812.11743v1 · doi: 10.48550/arxiv.1812.11743 · pith_short_12: G42WNVFYKFTD · pith_short_16: G42WNVFYKFTD4AYA · pith_short_8: G42WNVFY

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/G42WNVFYKFTD4AYA2JHM5X2ENY \
  | 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: 373566d4b851663e0300d24ecedf446e26f0d4251cf1780c6734bb9e7a83fda8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f03c1428b82ca5d16aff75408fbd10eb862b93ef8156a922f4585c5e22c999",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-31T10:05:53Z",
    "title_canon_sha256": "33358e02255b3d3e0b2d2424d5b32f5791c6d8ab52324146f7bf996957d500f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11743",
    "kind": "arxiv",
    "version": 1
  }
}