Pith Number

pith:GPQ25CQ7

pith:2002:GPQ25CQ7ZHIXCVMYQ62YODPSBV

not attested not anchored not stored refs pending

Monodromies of rational elliptic surfaces and extremal elliptic $K3$ surfaces

Mitsuaki Fukae

arxiv:math/0205062 v1 · 2002-05-07 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPQ25CQ7ZHIXCVMYQ62YODPSBV}

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	2026-05-18T01:05:29.578263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e1ae8a1fc9d171559887b5870df20d6a4018d75eae887f3fe4a9d440ef68f4

Aliases

arxiv: math/0205062 · arxiv_version: math/0205062v1 · doi: 10.48550/arxiv.math/0205062 · pith_short_12: GPQ25CQ7ZHIX · pith_short_16: GPQ25CQ7ZHIXCVMY · pith_short_8: GPQ25CQ7

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/GPQ25CQ7ZHIXCVMYQ62YODPSBV \
  | 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: 33e1ae8a1fc9d171559887b5870df20d6a4018d75eae887f3fe4a9d440ef68f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cb190ed6cae8157efb91f988f57753b987f0602152e5ad31964518072d4e155",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-05-07T06:19:44Z",
    "title_canon_sha256": "67589b7f7b149fdf27c3f753b0704d8dcdb17bd42b82a4edf606c6be4b7f9822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205062",
    "kind": "arxiv",
    "version": 1
  }
}