Pith Number

pith:3GYN4GYE

pith:2026:3GYN4GYEBX7PV2HA7YXSJWZRXC

not attested not anchored not stored refs pending

On the Hilton-Zhao vertex-splitting conjecture

Xuli Qi, Yanrui Feng

arxiv:2605.18783 v1 · 2026-05-06 · 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{3GYN4GYEBX7PV2HA7YXSJWZRXC}

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	2026-05-20T00:06:22.016619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9b0de1b040dfefae8e0fe2f24db31b8b3a20fd876dfa830449971336dcfbe2d

Aliases

arxiv: 2605.18783 · arxiv_version: 2605.18783v1 · doi: 10.48550/arxiv.2605.18783 · pith_short_12: 3GYN4GYEBX7P · pith_short_16: 3GYN4GYEBX7PV2HA · pith_short_8: 3GYN4GYE

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/3GYN4GYEBX7PV2HA7YXSJWZRXC \
  | 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: d9b0de1b040dfefae8e0fe2f24db31b8b3a20fd876dfa830449971336dcfbe2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d3dedba0fac299e71bf34c09c267081185508f04ee4a2ccf97ceeb01bd3080",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-06T13:07:26Z",
    "title_canon_sha256": "2234e0ae0d3f31e0659ef494fa162d45e0ccb8e713c021651dc94233bf521201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18783",
    "kind": "arxiv",
    "version": 1
  }
}