Pith Number

pith:AM6EJZDX

pith:2012:AM6EJZDXTFFEETMOPMZBXSGGAQ

not attested not anchored not stored refs pending

Jordan property for Cremona groups

Constantin Shramov, Yuri Prokhorov

arxiv:1211.3563 v4 · 2012-11-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AM6EJZDXTFFEETMOPMZBXSGGAQ}

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	2026-05-18T02:50:43.259518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033c44e477994a424d8e7b321bc8c6040756a81a5b033256667412fc90b0acc1

Aliases

arxiv: 1211.3563 · arxiv_version: 1211.3563v4 · doi: 10.48550/arxiv.1211.3563 · pith_short_12: AM6EJZDXTFFE · pith_short_16: AM6EJZDXTFFEETMO · pith_short_8: AM6EJZDX

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/AM6EJZDXTFFEETMOPMZBXSGGAQ \
  | 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: 033c44e477994a424d8e7b321bc8c6040756a81a5b033256667412fc90b0acc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb7b2f8dffb1458003215c0796e3dca8698406f2ac690f4d32049e3e4977585",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-15T10:28:08Z",
    "title_canon_sha256": "77bf53a5959bb8c0d5adf6ac9f1f7cda9dc0ed012ced96d4ba6d7a28f8f315ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3563",
    "kind": "arxiv",
    "version": 4
  }
}