Pith Number

pith:UZLNCCAU

pith:2021:UZLNCCAUFZ3FXC6WJ6N2OOL7HB

not attested not anchored not stored refs pending

Chudnovsky's Conjecture and the stable Harbourne-Huneke containment for general points

Sankhaneel Bisui, Th\'ai Th\`anh Nguy\^en

arxiv:2112.15260 v3 · 2021-12-31 · math.AC · 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{UZLNCCAUFZ3FXC6WJ6N2OOL7HB}

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	2026-06-24T00:14:19.636366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a656d108142e765b8bd64f9ba7397f385190dc0e14b08e79cd332d7b13e28069

Aliases

arxiv: 2112.15260 · arxiv_version: 2112.15260v3 · doi: 10.48550/arxiv.2112.15260 · pith_short_12: UZLNCCAUFZ3F · pith_short_16: UZLNCCAUFZ3FXC6W · pith_short_8: UZLNCCAU

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/UZLNCCAUFZ3FXC6WJ6N2OOL7HB \
  | 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: a656d108142e765b8bd64f9ba7397f385190dc0e14b08e79cd332d7b13e28069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf65be51cefb2e89179fbc0bdb0103dc807fd5b9ef4322cb0d6e9caf99b9f0e2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-12-31T01:21:18Z",
    "title_canon_sha256": "ad05d2a82bac4695ffaadde7232995b64e41234063ad30d2e47ed75b15ff31a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15260",
    "kind": "arxiv",
    "version": 3
  }
}