Pith Number

pith:DNXB4F4F

pith:2005:DNXB4F4FHNGVRA7EEHLZT633C4

not attested not anchored not stored refs pending

Classification of all Jacobian elliptic fibrations on certain K3 surfaces

Remke Kloosterman

arxiv:math/0502070 v1 · 2005-02-03 · 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{DNXB4F4FHNGVRA7EEHLZT633C4}

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	2026-05-18T01:05:23.787116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b6e1e17853b4d5883e421d799fb7b17286600af1d1265956d1da3d371c26ffb

Aliases

arxiv: math/0502070 · arxiv_version: math/0502070v1 · doi: 10.48550/arxiv.math/0502070 · pith_short_12: DNXB4F4FHNGV · pith_short_16: DNXB4F4FHNGVRA7E · pith_short_8: DNXB4F4F

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/DNXB4F4FHNGVRA7EEHLZT633C4 \
  | 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: 1b6e1e17853b4d5883e421d799fb7b17286600af1d1265956d1da3d371c26ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f37e8605e8ed0a0d988a3951f507b16d5aa8829a90f3a76e0531e6d5016fdc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-02-03T12:24:50Z",
    "title_canon_sha256": "ec070b2da62ac84f8f290ab3e1b05ce3c6b24082f755a59cde8d632a425888cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502070",
    "kind": "arxiv",
    "version": 1
  }
}