Pith Number

pith:G2KJ3QU7

pith:2024:G2KJ3QU726RNGI6EKGL6Y5W77H

not attested not anchored not stored refs pending

Lamplighter-like geometry of groups

Anthony Genevois, Romain Tessera

arxiv:2401.13520 v1 · 2024-01-24 · math.GR · math.GT · 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{G2KJ3QU726RNGI6EKGL6Y5W77H}

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

Characters of surface groups

Receipt and verification

First computed	2026-07-05T07:37:06.586925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36949dc29fd7a2d323c45197ec76dff9ca2f00e6936109285bfab017807df1a5

Aliases

arxiv: 2401.13520 · arxiv_version: 2401.13520v1 · doi: 10.48550/arxiv.2401.13520 · pith_short_12: G2KJ3QU726RN · pith_short_16: G2KJ3QU726RNGI6E · pith_short_8: G2KJ3QU7

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/G2KJ3QU726RNGI6EKGL6Y5W77H \
  | 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: 36949dc29fd7a2d323c45197ec76dff9ca2f00e6936109285bfab017807df1a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589895ba9ab1bbac1972e0cc0a9e99b6b3947a9b18d9bd0f13975ccd156b79d6",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-01-24T15:17:28Z",
    "title_canon_sha256": "71c051ce8769104af411ae43955126d6a8c20ec2522f607c875928c9e0a40682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.13520",
    "kind": "arxiv",
    "version": 1
  }
}