Pith Number

pith:4YV336TI

pith:2018:4YV336TIJKUS7QXL7HR5VL32PJ

not attested not anchored not stored refs pending

Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture

Robert Laterveer

arxiv:1808.09116 v1 · 2018-08-28 · 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{4YV336TIJKUS7QXL7HR5VL32PJ}

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	2026-05-18T00:07:04.448763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62bbdfa684aa92fc2ebf9e3daaf7a7a638448bca98746ec257caba8d02c54c6

Aliases

arxiv: 1808.09116 · arxiv_version: 1808.09116v1 · doi: 10.48550/arxiv.1808.09116 · pith_short_12: 4YV336TIJKUS · pith_short_16: 4YV336TIJKUS7QXL · pith_short_8: 4YV336TI

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/4YV336TIJKUS7QXL7HR5VL32PJ \
  | 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: e62bbdfa684aa92fc2ebf9e3daaf7a7a638448bca98746ec257caba8d02c54c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b2e8afc45058e0c403c9c4e9449f2c68ea8f03fc93686c297a093164f9048f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-28T04:50:43Z",
    "title_canon_sha256": "f9fa06370c1f774b95408338c15997eecbf5c296d6b1fbcf4da012c9c0c1c95e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09116",
    "kind": "arxiv",
    "version": 1
  }
}