Pith Number

pith:RU7CHLSR

pith:2022:RU7CHLSRL2X3TPZ3V44MRR7OHN

not attested not anchored not stored refs pending

Discrete two-generator subgroups of ${\rm PSL_2}$ over non-archimedean local fields

Jeroen Schillewaert, Matthew J. Conder

arxiv:2208.12404 v2 · 2022-08-26 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RU7CHLSRL2X3TPZ3V44MRR7OHN}

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	2026-07-05T06:41:02.900087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d3e23ae515eafb9bf3baf38c8c7ee3b44174c06fe992e142ad9d8bc1bce62dc

Aliases

arxiv: 2208.12404 · arxiv_version: 2208.12404v2 · doi: 10.48550/arxiv.2208.12404 · pith_short_12: RU7CHLSRL2X3 · pith_short_16: RU7CHLSRL2X3TPZ3 · pith_short_8: RU7CHLSR

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/RU7CHLSRL2X3TPZ3V44MRR7OHN \
  | 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: 8d3e23ae515eafb9bf3baf38c8c7ee3b44174c06fe992e142ad9d8bc1bce62dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1dc51d372a2a1134a43261acca8affde22fd4e47bde896dae8db11b81efd75",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-08-26T02:23:26Z",
    "title_canon_sha256": "52c4df07b528603f4dab6bf4296c85091e2fd9e8f905db6ad404cc4263c1ea79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.12404",
    "kind": "arxiv",
    "version": 2
  }
}