Pith Number

pith:HIFF3K6Q

pith:2004:HIFF3K6QW7QACFQB6UUUPTCKYD

not attested not anchored not stored refs pending

Some extremal contractions between smooth varieties arising from projective geometry

Alberto Alzati, Francesco Russo

arxiv:math/0406596 v1 · 2004-06-29 · 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{HIFF3K6QW7QACFQB6UUUPTCKYD}

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	2026-05-18T04:40:35.361531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0a5dabd0b7e0011601f52947cc4ac0e2d01c3647b4e76115046de7561a9921

Aliases

arxiv: math/0406596 · arxiv_version: math/0406596v1 · doi: 10.48550/arxiv.math/0406596 · pith_short_12: HIFF3K6QW7QA · pith_short_16: HIFF3K6QW7QACFQB · pith_short_8: HIFF3K6Q

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/HIFF3K6QW7QACFQB6UUUPTCKYD \
  | 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: 3a0a5dabd0b7e0011601f52947cc4ac0e2d01c3647b4e76115046de7561a9921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54856a7ce87ad68a9758951c63d15e4bb23316de37f1fb26e335a93131b730de",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-06-29T11:01:31Z",
    "title_canon_sha256": "5bf409aeda38ebf98b73d901d842f39dc1a7886d2365992f8a153fbd6af81e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406596",
    "kind": "arxiv",
    "version": 1
  }
}