Pith Number

pith:ZUR3RBJ6

pith:2015:ZUR3RBJ6Z6AD3XCEZLPKN7P6FJ

not attested not anchored not stored refs pending

On the projective normality of double coverings over a rational surface

Biswajit Rajaguru, Lei Song

arxiv:1512.06312 v2 · 2015-12-20 · 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{ZUR3RBJ6Z6AD3XCEZLPKN7P6FJ}

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	2026-05-18T01:07:58.367125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd23b8853ecf803ddc44cadea6fdfe2a77f679ea1c75fd4d602b687006f09b1b

Aliases

arxiv: 1512.06312 · arxiv_version: 1512.06312v2 · doi: 10.48550/arxiv.1512.06312 · pith_short_12: ZUR3RBJ6Z6AD · pith_short_16: ZUR3RBJ6Z6AD3XCE · pith_short_8: ZUR3RBJ6

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/ZUR3RBJ6Z6AD3XCEZLPKN7P6FJ \
  | 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: cd23b8853ecf803ddc44cadea6fdfe2a77f679ea1c75fd4d602b687006f09b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b14b5797e2ea2149a8a80a235562a3ac81431e49c44797c4c7427228dbd0088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-20T02:54:44Z",
    "title_canon_sha256": "da2ae24e57f130da65cc2090cc9f4c43e3d4fdaee35bf9d90620e475fca29f81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06312",
    "kind": "arxiv",
    "version": 2
  }
}