Pith Number

pith:MDDWSYID

pith:2012:MDDWSYIDMHCFBNEMU3ODWTSFR7

not attested not anchored not stored refs pending

Weierstrass equations for Jacobian fibrations on a certain K3 surface

Kazuki Utsumi

arxiv:1205.3429 v3 · 2012-05-15 · 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{MDDWSYIDMHCFBNEMU3ODWTSFR7}

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	2026-05-18T03:50:25.073059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60c769610361c450b48ca6dc3b4e458fcb94521af23e0931cc5f1d76aed1a035

Aliases

arxiv: 1205.3429 · arxiv_version: 1205.3429v3 · doi: 10.48550/arxiv.1205.3429 · pith_short_12: MDDWSYIDMHCF · pith_short_16: MDDWSYIDMHCFBNEM · pith_short_8: MDDWSYID

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/MDDWSYIDMHCFBNEMU3ODWTSFR7 \
  | 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: 60c769610361c450b48ca6dc3b4e458fcb94521af23e0931cc5f1d76aed1a035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "225facdbb85fc3604568ba0c8ae3f18abdda44fcf267516e8bafb27cd58d41dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-15T16:05:03Z",
    "title_canon_sha256": "03aef82bd61b06f1a067d7b726dd632337bfa3869ccf63c7d342d9189bb1e641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3429",
    "kind": "arxiv",
    "version": 3
  }
}