Pith Number

pith:FZ7PF65T

pith:2013:FZ7PF65TWVJUIEZPQL4C3GS6PB

not attested not anchored not stored refs pending

On the Classification of Elliptic Fibrations modulo Isomorphism on K3 Surfaces with large Picard Number

Andreas P. Braun, Taizan Watari, Yusuke Kimura

arxiv:1312.4421 v1 · 2013-12-16 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ7PF65TWVJUIEZPQL4C3GS6PB}

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	2026-05-18T03:04:34.484855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e7ef2fbb3b55344132f82f82d9a5e7864c9a718639c3675278d57493b704b21

Aliases

arxiv: 1312.4421 · arxiv_version: 1312.4421v1 · doi: 10.48550/arxiv.1312.4421 · pith_short_12: FZ7PF65TWVJU · pith_short_16: FZ7PF65TWVJUIEZP · pith_short_8: FZ7PF65T

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/FZ7PF65TWVJUIEZPQL4C3GS6PB \
  | 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: 2e7ef2fbb3b55344132f82f82d9a5e7864c9a718639c3675278d57493b704b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f30955c04b66d75e7f73e9cca26070b47d33435a3dbc043bf725019bc56fe38a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-16T16:38:04Z",
    "title_canon_sha256": "f0f4afa4abdcba62932e423ea3d491bded43d33d0a74722c55108d0d609d72bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4421",
    "kind": "arxiv",
    "version": 1
  }
}