Pith Number

pith:7YG32NJY

pith:2010:7YG32NJYONFEFJRQPVCSPQ6QPN

not attested not anchored not stored refs pending

Failure of the Hasse principle for Enriques surfaces

Anthony V\'arilly-Alvarado, Bianca Viray

arxiv:1008.0596 v1 · 2010-08-03 · 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{7YG32NJYONFEFJRQPVCSPQ6QPN}

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	2026-05-18T04:25:39.112024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0dbd3538734a42a6307d4527c3d07b5e620b367901de299649ae732eb32eae

Aliases

arxiv: 1008.0596 · arxiv_version: 1008.0596v1 · doi: 10.48550/arxiv.1008.0596 · pith_short_12: 7YG32NJYONFE · pith_short_16: 7YG32NJYONFEFJRQ · pith_short_8: 7YG32NJY

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/7YG32NJYONFEFJRQPVCSPQ6QPN \
  | 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: fe0dbd3538734a42a6307d4527c3d07b5e620b367901de299649ae732eb32eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "357e92c23aa4ab282719679dc84f8c8f846a150d7458022ab45964888fc67627",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-03T17:23:53Z",
    "title_canon_sha256": "ff6f75d012b86f41def961f265d4c1b65dde82a79b72a4ae333b4894f5db6a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0596",
    "kind": "arxiv",
    "version": 1
  }
}