Pith Number

pith:QGIQCMDG

pith:2022:QGIQCMDGUYFV4DLWBPG6H47PI4

not attested not anchored not stored refs pending

A new proof of finiteness of maximal arithmetic reflection groups

David Fisher, Sebastian Hurtado

arxiv:2207.00258 v1 · 2022-07-01 · math.GT · math.DG · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGIQCMDGUYFV4DLWBPG6H47PI4}

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	2026-07-05T04:36:41.118205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8191013066a60b5e0d760bcde3f3ef4729c0eab41e8bc240e9e1056167e06c13

Aliases

arxiv: 2207.00258 · arxiv_version: 2207.00258v1 · doi: 10.48550/arxiv.2207.00258 · pith_short_12: QGIQCMDGUYFV · pith_short_16: QGIQCMDGUYFV4DLW · pith_short_8: QGIQCMDG

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/QGIQCMDGUYFV4DLWBPG6H47PI4 \
  | 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: 8191013066a60b5e0d760bcde3f3ef4729c0eab41e8bc240e9e1056167e06c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4535bab2160fbdc117f2b9e05367938ff43cec6f3bf966f915817af49fb552",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-01T08:21:13Z",
    "title_canon_sha256": "a439e1580b96d141db598719ff0c062a8c3597ddc28ff9b1449701d60fe1dfe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00258",
    "kind": "arxiv",
    "version": 1
  }
}