Pith Number

pith:LCWS7O4H

pith:2026:LCWS7O4H6M52UPFZNHHOOFKN5V

not attested not anchored not stored refs pending

Hilbert's 16th problem for arrangements of curves on a surface

Giacomo Maletto

arxiv:2606.21449 v1 · 2026-06-19 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCWS7O4H6M52UPFZNHHOOFKN5V}

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	2026-06-23T01:13:10.737966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ad2fbb87f33baa3cb969cee7154ded58a21fe19e31f84f6789a84691d3a5ce

Aliases

arxiv: 2606.21449 · arxiv_version: 2606.21449v1 · doi: 10.48550/arxiv.2606.21449 · pith_short_12: LCWS7O4H6M52 · pith_short_16: LCWS7O4H6M52UPFZ · pith_short_8: LCWS7O4H

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/LCWS7O4H6M52UPFZNHHOOFKN5V \
  | 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: 58ad2fbb87f33baa3cb969cee7154ded58a21fe19e31f84f6789a84691d3a5ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba76c90b236e45b5fc34d7ff6f52002afb945ba1a91ee4a0e47aebefefdf0f1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-19T14:08:07Z",
    "title_canon_sha256": "81b49c847957de8b7c8e8d9295658d1a9d7c5dcbd38c7cc4835d1dbfb9c0187b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21449",
    "kind": "arxiv",
    "version": 1
  }
}