Pith Number

pith:N63WP3MN

pith:2014:N63WP3MNMGTVWNOZEKDFVPQMRH

not attested not anchored not stored refs pending

Worst singularities of plane curves of given degree

Ivan Cheltsov

arxiv:1409.6186 v3 · 2014-09-22 · 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{N63WP3MNMGTVWNOZEKDFVPQMRH}

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	2026-05-18T01:03:37.061843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb767ed8d61a75b35d922865abe0c89db917c56a33fe1a14c567eebed313e2f

Aliases

arxiv: 1409.6186 · arxiv_version: 1409.6186v3 · doi: 10.48550/arxiv.1409.6186 · pith_short_12: N63WP3MNMGTV · pith_short_16: N63WP3MNMGTVWNOZ · pith_short_8: N63WP3MN

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/N63WP3MNMGTVWNOZEKDFVPQMRH \
  | 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: 6fb767ed8d61a75b35d922865abe0c89db917c56a33fe1a14c567eebed313e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f71fcf941c003379e82c57902abd7eed93eea8d676bbfe35eba9f535e7d7e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-22T14:36:19Z",
    "title_canon_sha256": "af5cfa1b53b335bcccd49fbd9b73bec40e4dc6723822723c378b31f4f8e9a272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6186",
    "kind": "arxiv",
    "version": 3
  }
}