Pith Number

pith:DP2UIKXU

pith:1997:DP2UIKXUBAEV77SZSBDB3FE55J

not attested not anchored not stored refs pending

Semistable reduction of abelian varieties over extensions of small degree

A. Silverberg, Yu. G. Zarhin

arxiv:alg-geom/9702004 v2 · 1997-02-03 · 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{DP2UIKXUBAEV77SZSBDB3FE55J}

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	2026-05-18T01:07:47.110784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bf5442af408095ffe5990461d949dea5f6030791ddf9b0b54a1b5adcc27409d

Aliases

arxiv: alg-geom/9702004 · arxiv_version: alg-geom/9702004v2 · doi: 10.48550/arxiv.alg-geom/9702004 · pith_short_12: DP2UIKXUBAEV · pith_short_16: DP2UIKXUBAEV77SZ · pith_short_8: DP2UIKXU

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/DP2UIKXUBAEV77SZSBDB3FE55J \
  | 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: 1bf5442af408095ffe5990461d949dea5f6030791ddf9b0b54a1b5adcc27409d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9732b276f0ac3595c20fee5bebd9477e9b96904872201e26b227c50721036ffe",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-02-03T20:20:45Z",
    "title_canon_sha256": "8ddade7aa2c56eb67a0a885c82aeb4912df7813021d1f3f108099ed40b8e4362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9702004",
    "kind": "arxiv",
    "version": 2
  }
}