Pith Number

pith:IY3BY25S

pith:2007:IY3BY25SC4FZUKKADIGVPISOPW

not attested not anchored not stored refs pending

On the uniqueness of elliptic K3 surfaces with maximal singular fibre

Andreas Schweizer, Matthias Schuett

arxiv:0712.3873 v2 · 2007-12-22 · 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{IY3BY25SC4FZUKKADIGVPISOPW}

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	2026-05-18T03:19:35.754486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46361c6bb2170b9a29401a0d57a24e7db80ae33e41928b3cf1358df806851f78

Aliases

arxiv: 0712.3873 · arxiv_version: 0712.3873v2 · doi: 10.48550/arxiv.0712.3873 · pith_short_12: IY3BY25SC4FZ · pith_short_16: IY3BY25SC4FZUKKA · pith_short_8: IY3BY25S

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/IY3BY25SC4FZUKKADIGVPISOPW \
  | 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: 46361c6bb2170b9a29401a0d57a24e7db80ae33e41928b3cf1358df806851f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133d4f3594033824701babdf6f8417d244752e68434d02b082ff37637717abc0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-22T17:33:40Z",
    "title_canon_sha256": "02aa5e08c2057d89d106f4949ba94ffa0448817d6e69439414f38685cd02cab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3873",
    "kind": "arxiv",
    "version": 2
  }
}