Pith Number

pith:OB4QM2PG

pith:2010:OB4QM2PGRUMFZFS2PKKQQCEMT5

not attested not anchored not stored refs pending

Transcendental obstructions to weak approximation on general K3 surfaces

Anthony V\'arilly-Alvarado, Brendan Hassett, Patrick Varilly

arxiv:1005.1879 v1 · 2010-05-11 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OB4QM2PGRUMFZFS2PKKQQCEMT5}

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	2026-05-18T02:24:08.349143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70790669e68d185c965a7a9508088c9f46f92a57ae176c8c73d1ee0ad8022716

Aliases

arxiv: 1005.1879 · arxiv_version: 1005.1879v1 · doi: 10.48550/arxiv.1005.1879 · pith_short_12: OB4QM2PGRUMF · pith_short_16: OB4QM2PGRUMFZFS2 · pith_short_8: OB4QM2PG

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/OB4QM2PGRUMFZFS2PKKQQCEMT5 \
  | 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: 70790669e68d185c965a7a9508088c9f46f92a57ae176c8c73d1ee0ad8022716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a4f71e3715e31bb85be21148ea19ee0a8fdf4cf8ba601ed622ed07d682ee7c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-11T16:29:19Z",
    "title_canon_sha256": "f366a743bbca7fb47e7cf4e2b9190a83145583c884fe14e8707db5c01a65de93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1879",
    "kind": "arxiv",
    "version": 1
  }
}