Pith Number

pith:QXKJMMHK

pith:2004:QXKJMMHKHEZAUY6BVMN75DAPGP

not attested not anchored not stored refs pending

Birationally superrigid cyclic triple spaces

Ivan Cheltsov

arxiv:math/0410558 v1 · 2004-10-26 · 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{QXKJMMHKHEZAUY6BVMN75DAPGP}

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	2026-05-18T01:38:27.068009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d49630ea39320a63c1ab1bfe8c0f33f581ce1d88f1b0c10532bd3d1e4f95aa

Aliases

arxiv: math/0410558 · arxiv_version: math/0410558v1 · doi: 10.48550/arxiv.math/0410558 · pith_short_12: QXKJMMHKHEZA · pith_short_16: QXKJMMHKHEZAUY6B · pith_short_8: QXKJMMHK

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/QXKJMMHKHEZAUY6BVMN75DAPGP \
  | 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: 85d49630ea39320a63c1ab1bfe8c0f33f581ce1d88f1b0c10532bd3d1e4f95aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5435d524757b044ad59518ebfb3007dec1073622a8f3d42c151d1296fe4a76",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-10-26T17:10:07Z",
    "title_canon_sha256": "4bdc2be5b59a18184e30f7fb43c026ade7ea156836c4a8a756a42f0750d195c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410558",
    "kind": "arxiv",
    "version": 1
  }
}