Pith Number

pith:MYMZXMUK

pith:2026:MYMZXMUKW4QVIW2SNDQL66V7O3

not attested not anchored not stored refs pending

Hadwiger's Conjecture for $\{\text{co-claw}, \text{co-gem}\}$-free graphs and $\{\text{fork}, \text{antifork}\}$-free graphs

Daniel Carter, Jung Hon Yip

arxiv:2605.28050 v1 · 2026-05-27 · 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{MYMZXMUKW4QVIW2SNDQL66V7O3}

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	2026-05-28T01:04:57.106535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66199bb28ab721545b5268e0bf7abf76f7d0a3abdde9e4c33483a4cc75b92701

Aliases

arxiv: 2605.28050 · arxiv_version: 2605.28050v1 · doi: 10.48550/arxiv.2605.28050 · pith_short_12: MYMZXMUKW4QV · pith_short_16: MYMZXMUKW4QVIW2S · pith_short_8: MYMZXMUK

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/MYMZXMUKW4QVIW2SNDQL66V7O3 \
  | 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: 66199bb28ab721545b5268e0bf7abf76f7d0a3abdde9e4c33483a4cc75b92701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64fd3010cee5be2f8666b9127c101ae708423ce9ab1c38233e00ebfaf62c57c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T06:51:40Z",
    "title_canon_sha256": "7e95ad670467e95a26b8ff5585dc39f79d00617c8e108a47bcca1bd54181711f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28050",
    "kind": "arxiv",
    "version": 1
  }
}