Pith Number

pith:6344PQDV

pith:2009:6344PQDVWRM6KMVV3WCFISCHEK

not attested not anchored not stored refs pending

A family of varieties with exactly one pointless rational fiber

Bianca Viray

arxiv:0908.4440 v2 · 2009-08-31 · math.NT · 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{6344PQDVWRM6KMVV3WCFISCHEK}

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	2026-05-18T03:44:13.847899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f9c7c075b459e532b5dd8454484722a08ded1903ad31a11b96bda6cd28f06e

Aliases

arxiv: 0908.4440 · arxiv_version: 0908.4440v2 · doi: 10.48550/arxiv.0908.4440 · pith_short_12: 6344PQDVWRM6 · pith_short_16: 6344PQDVWRM6KMVV · pith_short_8: 6344PQDV

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/6344PQDVWRM6KMVV3WCFISCHEK \
  | 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: f6f9c7c075b459e532b5dd8454484722a08ded1903ad31a11b96bda6cd28f06e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d6624c71539d8b9062cc2f08a7f45600977f51a489bade8252ec0719612a717",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-31T01:10:27Z",
    "title_canon_sha256": "2aedae341f175290d1e071895a1695c56ff895e2e7cf18298255df9f8e65f59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4440",
    "kind": "arxiv",
    "version": 2
  }
}