Pith Number

pith:EZB36QH3

pith:2011:EZB36QH3KRMPGSWZKCQJHHAOKZ

not attested not anchored not stored refs pending

Failure of the Hasse principle on general K3 surfaces

Anthony V\'arilly-Alvarado, Brendan Hassett

arxiv:1110.1738 v1 · 2011-10-08 · 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{EZB36QH3KRMPGSWZKCQJHHAOKZ}

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	2026-05-18T04:11:19.721873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2643bf40fb5458f34ad950a0939c0e56613ed645fce7fecfdaa392e021bdfcfc

Aliases

arxiv: 1110.1738 · arxiv_version: 1110.1738v1 · doi: 10.48550/arxiv.1110.1738 · pith_short_12: EZB36QH3KRMP · pith_short_16: EZB36QH3KRMPGSWZ · pith_short_8: EZB36QH3

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/EZB36QH3KRMPGSWZKCQJHHAOKZ \
  | 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: 2643bf40fb5458f34ad950a0939c0e56613ed645fce7fecfdaa392e021bdfcfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7958d6645031dc9b6640809f9f0b2eba39813b49b8d931f43298c5b98c71d0ed",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-08T13:53:50Z",
    "title_canon_sha256": "4e2b0904c5c32651bfb11a29a6ec34ab4bafa9081f98e7bc00198f937c18985c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1738",
    "kind": "arxiv",
    "version": 1
  }
}