Pith Number

pith:CZTJ4ENP

pith:2004:CZTJ4ENP65HPKGXPVJWZYYDEO7

not attested not anchored not stored refs pending

Varieties with minimal secant degree and linear systems of maximal dimension on surfaces

Ciro Ciliberto, Francesco Russo

arxiv:math/0406494 v1 · 2004-06-24 · 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{CZTJ4ENP65HPKGXPVJWZYYDEO7}

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	2026-05-18T04:40:35.372102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16669e11aff74ef51aefaa6d9c606477d561d4324e2c08285c2d36f830f5b5c6

Aliases

arxiv: math/0406494 · arxiv_version: math/0406494v1 · doi: 10.48550/arxiv.math/0406494 · pith_short_12: CZTJ4ENP65HP · pith_short_16: CZTJ4ENP65HPKGXP · pith_short_8: CZTJ4ENP

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/CZTJ4ENP65HPKGXPVJWZYYDEO7 \
  | 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: 16669e11aff74ef51aefaa6d9c606477d561d4324e2c08285c2d36f830f5b5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14a77051834da3d99425e529f6bf77a7bb6b98f67eedf424135b731c7355691",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-06-24T12:51:28Z",
    "title_canon_sha256": "127012701c40c34ded95ec0f265d0376764bc08e39962065ad3c1890ad820be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406494",
    "kind": "arxiv",
    "version": 1
  }
}