Pith Number

pith:KBVBHFCV

pith:2015:KBVBHFCVYWFVVWIMK6CLHHLP2W

not attested not anchored not stored refs pending

Irreducible Components of Hilbert Schemes of Rational Curves with given Normal Bundle

Alberto Alzati, Riccardo Re

arxiv:1502.02521 v2 · 2015-02-09 · 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{KBVBHFCVYWFVVWIMK6CLHHLP2W}

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	2026-05-18T01:16:35.102325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506a139455c58b5ad90c5784b39d6fd59419efcf70a27f3c4b7da675b2ee072e

Aliases

arxiv: 1502.02521 · arxiv_version: 1502.02521v2 · doi: 10.48550/arxiv.1502.02521 · pith_short_12: KBVBHFCVYWFV · pith_short_16: KBVBHFCVYWFVVWIM · pith_short_8: KBVBHFCV

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/KBVBHFCVYWFVVWIMK6CLHHLP2W \
  | 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: 506a139455c58b5ad90c5784b39d6fd59419efcf70a27f3c4b7da675b2ee072e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6800c0ff086e9be2a9a30e909ed6a9ba1fe53d96d9eefc625a553a61a54bd05d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-09T15:27:57Z",
    "title_canon_sha256": "94c9e9c38c318caa9fcb241a9fc0eebbbce69efb560fd6e2b4735559139adfd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02521",
    "kind": "arxiv",
    "version": 2
  }
}