Pith Number

pith:7WNWIBUJ

pith:2014:7WNWIBUJXSFIUIJU4ZLX2N4GKT

not attested not anchored not stored refs pending

Isotrivial elliptic K3 surfaces and Lagrangian fibrations

Justin Sawon

arxiv:1406.1233 v1 · 2014-06-04 · 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{7WNWIBUJXSFIUIJU4ZLX2N4GKT}

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	2026-05-18T02:50:23.730012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9b640689bc8a8a2134e6577d378654d2ba2927588bf5cbaef39cbb2e3ec648

Aliases

arxiv: 1406.1233 · arxiv_version: 1406.1233v1 · doi: 10.48550/arxiv.1406.1233 · pith_short_12: 7WNWIBUJXSFI · pith_short_16: 7WNWIBUJXSFIUIJU · pith_short_8: 7WNWIBUJ

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/7WNWIBUJXSFIUIJU4ZLX2N4GKT \
  | 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: fd9b640689bc8a8a2134e6577d378654d2ba2927588bf5cbaef39cbb2e3ec648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c87719b59535625ee36f57b05e2f26cf616dcad80a3911447c387803f15e4bb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-06-04T23:08:49Z",
    "title_canon_sha256": "323689a09f15028a30f9f5a4b226ae60eed707a0c33e91cb73353d994d579fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1233",
    "kind": "arxiv",
    "version": 1
  }
}