Pith Number

pith:QVX7BGRF

pith:2025:QVX7BGRFYXMRHGLM4G44WTYURM

not attested not anchored not stored refs pending

Proof of the KAMAK tree conjecture

Micha Christoph, Raphael Steiner

arxiv:2505.21367 v1 · 2025-05-27 · 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{QVX7BGRFYXMRHGLM4G44WTYURM}

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	2026-07-05T11:10:40.827219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856ff09a25c5d913996ce1b9cb4f148b3bb66db3421ad61d6b1ba84c1d1476fe

Aliases

arxiv: 2505.21367 · arxiv_version: 2505.21367v1 · doi: 10.48550/arxiv.2505.21367 · pith_short_12: QVX7BGRFYXMR · pith_short_16: QVX7BGRFYXMRHGLM · pith_short_8: QVX7BGRF

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/QVX7BGRFYXMRHGLM4G44WTYURM \
  | 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: 856ff09a25c5d913996ce1b9cb4f148b3bb66db3421ad61d6b1ba84c1d1476fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2526ad3d70b95872acd09733ae46d3e5ec1ed7205aff90e0e959a42cadd8f3f6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-27T15:57:13Z",
    "title_canon_sha256": "35306c0403f74b0434f1fd1676b6e33375cbe8be24450161d01aaea6a5cd6788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21367",
    "kind": "arxiv",
    "version": 1
  }
}