Pith Number

pith:QWVBQN4P

pith:2017:QWVBQN4PSQNQAXSWN2NMCAUKFY

not attested not anchored not stored refs pending

Curves with low Harbourne constants on Kummer and Abelian surfaces

Xavier Roulleau

arxiv:1711.06449 v3 · 2017-11-17 · 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{QWVBQN4PSQNQAXSWN2NMCAUKFY}

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	2026-05-18T00:27:17.854877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85aa18378f941b005e566e9ac1028a2e35e1f2cc81c5a2da1e8a077f5f5eedad

Aliases

arxiv: 1711.06449 · arxiv_version: 1711.06449v3 · doi: 10.48550/arxiv.1711.06449 · pith_short_12: QWVBQN4PSQNQ · pith_short_16: QWVBQN4PSQNQAXSW · pith_short_8: QWVBQN4P

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/QWVBQN4PSQNQAXSWN2NMCAUKFY \
  | 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: 85aa18378f941b005e566e9ac1028a2e35e1f2cc81c5a2da1e8a077f5f5eedad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15faf33d190b1c726c14eca55a7cb7b5128004ed95e8055b6299b28e691dc4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-17T08:08:13Z",
    "title_canon_sha256": "16269700412374445586aac9aec1f89aa1a2660542b4a9042b07b729d4de28b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06449",
    "kind": "arxiv",
    "version": 3
  }
}