Pith Number

pith:CXFKUBSB

pith:2010:CXFKUBSBX4HF4MWFWGCK4QTKN6

not attested not anchored not stored refs pending

Notes on projective normality of reducible curves

Edoardo Ballico, Silvia Brannetti

arxiv:1009.4883 v1 · 2010-09-24 · 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{CXFKUBSBX4HF4MWFWGCK4QTKN6}

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	2026-05-18T04:40:21.011564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15caaa0641bf0e5e32c5b184ae426a6fb4d046e9c55bb2a8b082baa929aea410

Aliases

arxiv: 1009.4883 · arxiv_version: 1009.4883v1 · doi: 10.48550/arxiv.1009.4883 · pith_short_12: CXFKUBSBX4HF · pith_short_16: CXFKUBSBX4HF4MWF · pith_short_8: CXFKUBSB

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/CXFKUBSBX4HF4MWFWGCK4QTKN6 \
  | 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: 15caaa0641bf0e5e32c5b184ae426a6fb4d046e9c55bb2a8b082baa929aea410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b969fc8d498371eaf30a2d62877287ffe35de9c7c02d1acff910ecab1d2d53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-24T16:08:21Z",
    "title_canon_sha256": "a3ed5dfc60a0e9d4bebf6fa6f84672ffa9f1f9db20783fff63c7ec37b6061a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4883",
    "kind": "arxiv",
    "version": 1
  }
}