Pith Number

pith:B2VRBZDK

pith:2012:B2VRBZDK2BTZBDH4V3F3NFLK3W

not attested not anchored not stored refs pending

The Coolidge-Nagata conjecture holds for curves with more than four cusps

Karol Palka

arxiv:1202.3491 v1 · 2012-02-16 · math.AG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2VRBZDK2BTZBDH4V3F3NFLK3W}

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	2026-05-18T04:02:13.033824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eab10e46ad067908cfcaecbb6956add91e379425b322a04f83abef6dd6cfe44

Aliases

arxiv: 1202.3491 · arxiv_version: 1202.3491v1 · doi: 10.48550/arxiv.1202.3491 · pith_short_12: B2VRBZDK2BTZ · pith_short_16: B2VRBZDK2BTZBDH4 · pith_short_8: B2VRBZDK

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/B2VRBZDK2BTZBDH4V3F3NFLK3W \
  | 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: 0eab10e46ad067908cfcaecbb6956add91e379425b322a04f83abef6dd6cfe44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c1eced01e15adf5b01d2729ec39027407c3844169506e45688ebb3df5f64c1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-16T02:04:13Z",
    "title_canon_sha256": "e612c86fb4bdbe8f6b3ae5d7833ec2aa8f3b4602dc9eee74a7257c4e46fe28bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3491",
    "kind": "arxiv",
    "version": 1
  }
}