Pith Number

pith:VDW5W4SH

pith:2012:VDW5W4SHCU5B253VNCMICW444V

not attested not anchored not stored refs pending

On special quadratic birational transformations of a projective space into a hypersurface

Giovanni Staglian\`o

arxiv:1203.5417 v4 · 2012-03-24 · 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{VDW5W4SHCU5B253VNCMICW444V}

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	2026-05-18T03:28:53.979443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8eddb7247153a1d77756898815b9ce57f544746c45ef165032e70065f4ec897

Aliases

arxiv: 1203.5417 · arxiv_version: 1203.5417v4 · doi: 10.48550/arxiv.1203.5417 · pith_short_12: VDW5W4SHCU5B · pith_short_16: VDW5W4SHCU5B253V · pith_short_8: VDW5W4SH

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/VDW5W4SHCU5B253VNCMICW444V \
  | 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: a8eddb7247153a1d77756898815b9ce57f544746c45ef165032e70065f4ec897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a72ea113b1c7389f386b3ad876d787d1e3fc432c5c3a5612201c19a92dcac2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-24T14:19:15Z",
    "title_canon_sha256": "be23383f2e4ead872417a76b944a316b13f01bf266dfd8669997fc3ad73756c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5417",
    "kind": "arxiv",
    "version": 4
  }
}