Pith Number

pith:FPC5HPZ3

pith:2012:FPC5HPZ3CBZY2Z2SMHPQXOHA5Q

not attested not anchored not stored refs pending

On certain duality of N\'eron-Severi lattices of supersingular K3 surfaces

Ichiro Shimada, Shigeyuki Kondo

arxiv:1212.0269 v2 · 2012-12-03 · 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{FPC5HPZ3CBZY2Z2SMHPQXOHA5Q}

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	2026-05-18T03:04:06.757772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc5d3bf3b10738d675261df0bb8e0ec2a6a11db4141cbd61d83ca4fd20ddc30

Aliases

arxiv: 1212.0269 · arxiv_version: 1212.0269v2 · doi: 10.48550/arxiv.1212.0269 · pith_short_12: FPC5HPZ3CBZY · pith_short_16: FPC5HPZ3CBZY2Z2S · pith_short_8: FPC5HPZ3

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/FPC5HPZ3CBZY2Z2SMHPQXOHA5Q \
  | 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: 2bc5d3bf3b10738d675261df0bb8e0ec2a6a11db4141cbd61d83ca4fd20ddc30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91a7b43366bd3b37b7e633cf3541b1a5bb3f19aeabe53e1ae7f018db9aaada8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-03T02:01:59Z",
    "title_canon_sha256": "f93b223b21fd9df6fdbae9cfeaf93d415c44dd4abf1f06a4a731ef87f3a3e78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0269",
    "kind": "arxiv",
    "version": 2
  }
}