Pith Number

pith:GQ5GY3PE

pith:2025:GQ5GY3PEYLM6KEH3NQBOV4YTPK

not attested not anchored not stored refs pending

Representations of finite subgroups of Cremona groups

Alexander Duncan, Bailey Heath, Christian Urech

arxiv:2507.04474 v1 · 2025-07-06 · 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{GQ5GY3PEYLM6KEH3NQBOV4YTPK}

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	2026-07-05T11:32:48.659078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

343a6c6de4c2d9e510fb6c02eaf3137aa1599cd90743d0f20d68fa899c2ff53c

Aliases

arxiv: 2507.04474 · arxiv_version: 2507.04474v1 · doi: 10.48550/arxiv.2507.04474 · pith_short_12: GQ5GY3PEYLM6 · pith_short_16: GQ5GY3PEYLM6KEH3 · pith_short_8: GQ5GY3PE

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/GQ5GY3PEYLM6KEH3NQBOV4YTPK \
  | 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: 343a6c6de4c2d9e510fb6c02eaf3137aa1599cd90743d0f20d68fa899c2ff53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0019c494c07e4c8c86a9f7b3e2fb128f5407cbce82f36fe5f7e4fa6a2af4c6ad",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-06T17:22:13Z",
    "title_canon_sha256": "0d8f5a512a0774f8fc6eb332120360b45f86662cd87efe4ee08cb27a47aa01f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04474",
    "kind": "arxiv",
    "version": 1
  }
}