Pith Number

pith:ROOFNUEQ

pith:2011:ROOFNUEQ2SHQOD6MKDL3M35D7B

not attested not anchored not stored refs pending

Some subgroups of the Cremona groups

Vladimir L. Popov

arxiv:1110.2410 v4 · 2011-10-11 · 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{ROOFNUEQ2SHQOD6MKDL3M35D7B}

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	2026-05-18T03:51:00.329818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b9c56d090d48f070fcc50d7b66fa3f841cd10206d10182d90cf3ef7fd08311f

Aliases

arxiv: 1110.2410 · arxiv_version: 1110.2410v4 · doi: 10.48550/arxiv.1110.2410 · pith_short_12: ROOFNUEQ2SHQ · pith_short_16: ROOFNUEQ2SHQOD6M · pith_short_8: ROOFNUEQ

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/ROOFNUEQ2SHQOD6MKDL3M35D7B \
  | 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: 8b9c56d090d48f070fcc50d7b66fa3f841cd10206d10182d90cf3ef7fd08311f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8366e9636f2e3c339613c5bb5b542a1eaaa44ed664ad8f310a9d069b789aeb03",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-11T16:05:52Z",
    "title_canon_sha256": "ba2c9a01a5507ad80f096cf1fae4d783872bd91361d719d1e1cc3d08f047c536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2410",
    "kind": "arxiv",
    "version": 4
  }
}