Pith Number

pith:MT6GYVJX

pith:2018:MT6GYVJXRBJBZPW5VINSXV4TVG

not attested not anchored not stored refs pending

Self-similar products of groups

Laurent Bartholdi, Said N. Sidki

arxiv:1805.04732 v1 · 2018-05-12 · 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{MT6GYVJXRBJBZPW5VINSXV4TVG}

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	2026-05-18T00:16:04.692527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64fc6c553788521cbeddaa1b2bd793a9a2793ef3646061c3cf1c84964c3c0d31

Aliases

arxiv: 1805.04732 · arxiv_version: 1805.04732v1 · doi: 10.48550/arxiv.1805.04732 · pith_short_12: MT6GYVJXRBJB · pith_short_16: MT6GYVJXRBJBZPW5 · pith_short_8: MT6GYVJX

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/MT6GYVJXRBJBZPW5VINSXV4TVG \
  | 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: 64fc6c553788521cbeddaa1b2bd793a9a2793ef3646061c3cf1c84964c3c0d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a08ac5a0618de97db003ba3eb623514933a93ea2355c9706f9f9b1b1e2913b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-12T15:04:02Z",
    "title_canon_sha256": "ee1a902b1c6627cc137274b88efd74de4ff228aedfde0350c6234c4741f846ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04732",
    "kind": "arxiv",
    "version": 1
  }
}