Pith Number

pith:53DMK264

pith:1998:53DMK2642UKOMZXKUPI2Y3IDD3

not attested not anchored not stored refs pending

Miranda-Persson's problem on extremal elliptic K3 surfaces

D.Q. Zhang, E. Artal-Bartolo, H. Tokunaga

arxiv:math/9809065 v1 · 1998-09-11 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53DMK2642UKOMZXKUPI2Y3IDD3}

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	2026-05-18T00:16:51.310003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec6c56bdcd514e666eaa3d1ac6d031ee76aeaae5365a71d00834a3d04d68f0b

Aliases

arxiv: math/9809065 · arxiv_version: math/9809065v1 · doi: 10.48550/arxiv.math/9809065 · pith_short_12: 53DMK2642UKO · pith_short_16: 53DMK2642UKOMZXK · pith_short_8: 53DMK264

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/53DMK2642UKOMZXKUPI2Y3IDD3 \
  | 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: eec6c56bdcd514e666eaa3d1ac6d031ee76aeaae5365a71d00834a3d04d68f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee65bd8c705bfbef467d7280399e5edd1a2135601e2f2464be3dea0129bd5e3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-09-11T16:55:05Z",
    "title_canon_sha256": "5166d013d34329745da7302c2f4482845d08182ffe375f9de72fa4d9e26c2fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809065",
    "kind": "arxiv",
    "version": 1
  }
}