Pith Number

pith:3VIGH3HS

pith:2015:3VIGH3HSD4OLRKFSMKRQKQO7S6

not attested not anchored not stored refs pending

Subgroups of odd order in the real plane Cremona group

Egor Yasinsky

arxiv:1509.08136 v4 · 2015-09-27 · 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{3VIGH3HSD4OLRKFSMKRQKQO7S6}

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	2026-05-18T00:20:22.582492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5063ecf21f1cb8a8b262a30541df97ab5d303ffebe7a8a10b2f039ec3a9198

Aliases

arxiv: 1509.08136 · arxiv_version: 1509.08136v4 · doi: 10.48550/arxiv.1509.08136 · pith_short_12: 3VIGH3HSD4OL · pith_short_16: 3VIGH3HSD4OLRKFS · pith_short_8: 3VIGH3HS

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/3VIGH3HSD4OLRKFSMKRQKQO7S6 \
  | 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: dd5063ecf21f1cb8a8b262a30541df97ab5d303ffebe7a8a10b2f039ec3a9198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ecc6fcaa950601697d3b581438a551107a4f6bd30747a3b247947f204d48c7b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-27T20:20:55Z",
    "title_canon_sha256": "f5d8afd150a359f8648bac2d586d0d1ed0a79872b18706527cf5fad1a442eaeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08136",
    "kind": "arxiv",
    "version": 4
  }
}