Pith Number

pith:FXNK6COG

pith:1999:FXNK6COGIIQMWUSMUTCSWLBVNK

not attested not anchored not stored refs pending

A Compactification of Open Varieties

Yi Hu

arxiv:math/9910181 v2 · 1999-11-01 · 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{FXNK6COGIIQMWUSMUTCSWLBVNK}

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	2026-07-04T14:41:21.621875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ddaaf09c64220cb524ca4c52b2c356aae1a28e42e4855d7b4bffb18971ad584

Aliases

arxiv: math/9910181 · arxiv_version: math/9910181v2 · doi: 10.48550/arxiv.math/9910181 · pith_short_12: FXNK6COGIIQM · pith_short_16: FXNK6COGIIQMWUSM · pith_short_8: FXNK6COG

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/FXNK6COGIIQMWUSMUTCSWLBVNK \
  | 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: 2ddaaf09c64220cb524ca4c52b2c356aae1a28e42e4855d7b4bffb18971ad584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77a591afb4e1b7913f3b50650ec80266729dc254251f934386580e225a5455b7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-11-01T15:59:41Z",
    "title_canon_sha256": "a5889aa4aa6934cc3aaf2c537226e8dfba48d67bc8659953015b39619fe1a1af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910181",
    "kind": "arxiv",
    "version": 2
  }
}