Pith Number

pith:5VCBSXNZ

pith:1995:5VCBSXNZAUSEKLIKHRF6KUIFCU

not attested not anchored not stored refs pending

Hodge groups of abelian varieties with purely multiplicative reduction

A. Silverberg, Yu. G. Zarhin

arxiv:alg-geom/9505037 v2 · 1995-05-31 · alg-geom · 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{5VCBSXNZAUSEKLIKHRF6KUIFCU}

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	2026-05-18T01:40:48.546699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed44195db90524452d0a3c4be55105150afc74cdc1f6eea1067b8fa5db231d40

Aliases

arxiv: alg-geom/9505037 · arxiv_version: alg-geom/9505037v2 · doi: 10.48550/arxiv.alg-geom/9505037 · pith_short_12: 5VCBSXNZAUSE · pith_short_16: 5VCBSXNZAUSEKLIK · pith_short_8: 5VCBSXNZ

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/5VCBSXNZAUSEKLIKHRF6KUIFCU \
  | 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: ed44195db90524452d0a3c4be55105150afc74cdc1f6eea1067b8fa5db231d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac5ea97d5379ed5d24d512d3b1d4ac8c8c00ce1e4f701aae17941f05078e01e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1995-05-31T13:02:07Z",
    "title_canon_sha256": "36daeeb67152cc8c56666713d03676049746d86f3e351fe981bdcad91cf36383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9505037",
    "kind": "arxiv",
    "version": 2
  }
}