Pith Number

pith:CHS5Y4KC

pith:2026:CHS5Y4KC245KMP3FVFEU7YD4AZ

not attested not anchored not stored refs pending

Improved bounds for the double cap conjecture

\'Akos D\'ucz, D\'aniel Varga, Domonkos Czifra, M\'at\'e Matolcsi, P\'al Zs\'amboki

arxiv:2605.28709 v1 · 2026-05-27 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHS5Y4KC245KMP3FVFEU7YD4AZ}

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	2026-05-28T02:05:00.678420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e5dc7142d73aa63f65a9494fe07c06418a83033d5df04d28ba76357d3ffa99

Aliases

arxiv: 2605.28709 · arxiv_version: 2605.28709v1 · doi: 10.48550/arxiv.2605.28709 · pith_short_12: CHS5Y4KC245K · pith_short_16: CHS5Y4KC245KMP3F · pith_short_8: CHS5Y4KC

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/CHS5Y4KC245KMP3FVFEU7YD4AZ \
  | 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: 11e5dc7142d73aa63f65a9494fe07c06418a83033d5df04d28ba76357d3ffa99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2540a9617dfbfeb844de386f550e43edd95efb7bda4e3cd849c35154ccb697",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T16:33:54Z",
    "title_canon_sha256": "34d6fe2db1a1ea6ea1fdc43444fe8ac5fb039ab5dd5e4e35e9deeb2981faa36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28709",
    "kind": "arxiv",
    "version": 1
  }
}