Pith Number

pith:TBGEDCMZ

pith:2026:TBGEDCMZHSIOSIYRJF4X2AZQP6

not attested not anchored not stored refs pending

Kohayakawa's conjecture and clique coverings of complements of paths and cycles

Bo Ning

arxiv:2608.11132 v1 · 2026-08-11 · 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{TBGEDCMZHSIOSIYRJF4X2AZQP6}

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	2026-08-12T01:24:39.922172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984c4189993c90e9231149797d03307f8d6526b64f36dac8170fa829be4e23b1

Aliases

arxiv: 2608.11132 · arxiv_version: 2608.11132v1 · doi: 10.48550/arxiv.2608.11132 · pith_short_12: TBGEDCMZHSIO · pith_short_16: TBGEDCMZHSIOSIYR · pith_short_8: TBGEDCMZ

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/TBGEDCMZHSIOSIYRJF4X2AZQP6 \
  | 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: 984c4189993c90e9231149797d03307f8d6526b64f36dac8170fa829be4e23b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97ca7504ef1a126f9cf70ddd17480bed2c29373793b709e8e730b5235cebf90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-11T16:52:39Z",
    "title_canon_sha256": "a8709e6fff4382e7ee7a7c10e9001cc47adf78f4447ddcc494f6b59007aecd63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11132",
    "kind": "arxiv",
    "version": 1
  }
}