Pith Number

pith:6FGXX2LL

pith:2012:6FGXX2LLC22XE5QQYRHS2EFN6Y

not attested not anchored not stored refs pending

Some remarks about the Zariski topology of the Cremona group

Alvaro Rittatore, Ivan Pan

arxiv:1212.5698 v2 · 2012-12-22 · 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{6FGXX2LLC22XE5QQYRHS2EFN6Y}

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	2026-05-18T03:13:21.713123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f14d7be96b16b5727610c44f2d10adf627ceef4853a708bf0bc5fe945e07db05

Aliases

arxiv: 1212.5698 · arxiv_version: 1212.5698v2 · doi: 10.48550/arxiv.1212.5698 · pith_short_12: 6FGXX2LLC22X · pith_short_16: 6FGXX2LLC22XE5QQ · pith_short_8: 6FGXX2LL

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/6FGXX2LLC22XE5QQYRHS2EFN6Y \
  | 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: f14d7be96b16b5727610c44f2d10adf627ceef4853a708bf0bc5fe945e07db05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bbbc436593e985d0dfc55b1f338cce1e41e7c4786ec29c308e057ed6e4cb49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-22T15:21:24Z",
    "title_canon_sha256": "a24aa5c2448c26197af105464cbadb3221219353bd03fc744727915355229dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5698",
    "kind": "arxiv",
    "version": 2
  }
}