Pith Number

pith:ABEO463B

pith:2017:ABEO463BUC6NZHRKKTKMI72GE5

not attested not anchored not stored refs pending

On the Picard numbers of abelian varieties

Klaus Hulek, Roberto Laface

arxiv:1703.05882 v3 · 2017-03-17 · 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{ABEO463BUC6NZHRKKTKMI72GE5}

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	2026-05-18T00:27:52.715868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0048ee7b61a0bcdc9e2a54d4c47f46275a2aa2a9e4ca2ba9b3a02864f2afefb8

Aliases

arxiv: 1703.05882 · arxiv_version: 1703.05882v3 · doi: 10.48550/arxiv.1703.05882 · pith_short_12: ABEO463BUC6N · pith_short_16: ABEO463BUC6NZHRK · pith_short_8: ABEO463B

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/ABEO463BUC6NZHRKKTKMI72GE5 \
  | 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: 0048ee7b61a0bcdc9e2a54d4c47f46275a2aa2a9e4ca2ba9b3a02864f2afefb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e1a9ff3be1068a5df8bea2268cff930f44a06f436075a3e24e4d34d5de62b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-17T04:11:33Z",
    "title_canon_sha256": "a78c3dfce6432ef47e929bd161c3cf4daef0318181e6ee0c6228ebe557f214a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05882",
    "kind": "arxiv",
    "version": 3
  }
}