Pith Number

pith:MODW5SBX

pith:2007:MODW5SBXTCA65LVZTAV2FHKSGU

not attested not anchored not stored refs pending

Log canonical thresholds of certain Fano hypersurfaces

Ivan Cheltsov, Jihun Park, Joonyeong Won

arxiv:0706.0751 v2 · 2007-06-06 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MODW5SBXTCA65LVZTAV2FHKSGU}

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	2026-05-18T02:30:16.212205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63876ec8379881eeaeb9982ba29d52351d6746180a9970cf3d69035e86ff9bb2

Aliases

arxiv: 0706.0751 · arxiv_version: 0706.0751v2 · doi: 10.48550/arxiv.0706.0751 · pith_short_12: MODW5SBXTCA6 · pith_short_16: MODW5SBXTCA65LVZ · pith_short_8: MODW5SBX

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/MODW5SBXTCA65LVZTAV2FHKSGU \
  | 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: 63876ec8379881eeaeb9982ba29d52351d6746180a9970cf3d69035e86ff9bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843281a170d189a66fe8d7922b5cb376ffaba5347a02067804ccd54ab341bae6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-06-06T01:34:08Z",
    "title_canon_sha256": "29200fd99a737934fd04e60565791f110c9276b834720c274fc843d07b1bc8fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0751",
    "kind": "arxiv",
    "version": 2
  }
}