Pith Number

pith:LJFUGHLC

pith:2023:LJFUGHLCXKH6VEV66R5TNBIFBY

not attested not anchored not stored refs pending

The domino problem for hyperbolic groups

Laurent Bartholdi

arxiv:2305.06952 v1 · 2023-05-11 · math.GR · math.DS · 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{LJFUGHLCXKH6VEV66R5TNBIFBY}

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.

Cited by

1 paper in Pith

Medvedev degrees of subshifts on groups

Receipt and verification

First computed	2026-07-05T06:09:17.965480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4b431d62ba8fea92bef47b3685050e077addd21e9d2acd7c5631cb45b82667

Aliases

arxiv: 2305.06952 · arxiv_version: 2305.06952v1 · doi: 10.48550/arxiv.2305.06952 · pith_short_12: LJFUGHLCXKH6 · pith_short_16: LJFUGHLCXKH6VEV6 · pith_short_8: LJFUGHLC

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/LJFUGHLCXKH6VEV66R5TNBIFBY \
  | 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: 5a4b431d62ba8fea92bef47b3685050e077addd21e9d2acd7c5631cb45b82667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d68593a5399fee5c5f3cbd4efb0884927cd59a537d1f828937abfe19955756",
    "cross_cats_sorted": [
      "math.DS",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-05-11T16:26:31Z",
    "title_canon_sha256": "61f3c26175946bfe9142fc38bef66d17683e5e9fda6ba017369ada2c82b8d318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.06952",
    "kind": "arxiv",
    "version": 1
  }
}