Pith Number

pith:52C4UDZK

pith:2009:52C4UDZKQLU4SA6BAFLELAP3EV

not attested not anchored not stored refs pending

Simple finite subgroups of the Cremona group of rank 3

Yuri Prokhorov

arxiv:0908.0678 v6 · 2009-08-05 · math.AG · 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{52C4UDZKQLU4SA6BAFLELAP3EV}

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	2026-05-18T03:40:37.101967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee85ca0f2a82e9c903c101564581fb254794ef9a86f8929ee2bc0db9623aa393

Aliases

arxiv: 0908.0678 · arxiv_version: 0908.0678v6 · doi: 10.48550/arxiv.0908.0678 · pith_short_12: 52C4UDZKQLU4 · pith_short_16: 52C4UDZKQLU4SA6B · pith_short_8: 52C4UDZK

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/52C4UDZKQLU4SA6BAFLELAP3EV \
  | 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: ee85ca0f2a82e9c903c101564581fb254794ef9a86f8929ee2bc0db9623aa393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edb8b66423adbd924683b61125208197b12329dafc988d1b3830c3d3c8ffe7f6",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-05T14:44:48Z",
    "title_canon_sha256": "f125f3bebdeb5c23b74607adc39df450fea1f5a56f0386c44b63fd8aee2e7eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0678",
    "kind": "arxiv",
    "version": 6
  }
}