Pith Number

pith:KTGFYRSU

pith:2026:KTGFYRSUMNIM3FUI2UU6SSFMQG

not attested not anchored not stored refs pending

Further Results on the maximun number of stars in graphs with forbidden properties

Jia-Bao Yang, Leilei Zhang, Yuxuan Liu

arxiv:2607.00770 v1 · 2026-07-01 · 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{KTGFYRSUMNIM3FUI2UU6SSFMQG}

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	2026-07-02T01:17:54.954437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54cc5c46546350cd9688d529e948ac818def69c2213ed2044a266cebb66680e9

Aliases

arxiv: 2607.00770 · arxiv_version: 2607.00770v1 · doi: 10.48550/arxiv.2607.00770 · pith_short_12: KTGFYRSUMNIM · pith_short_16: KTGFYRSUMNIM3FUI · pith_short_8: KTGFYRSU

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/KTGFYRSUMNIM3FUI2UU6SSFMQG \
  | 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: 54cc5c46546350cd9688d529e948ac818def69c2213ed2044a266cebb66680e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04ba43bc33a06bb454a9b9b437d35e17b0e22834351196b7de618f347f941725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T10:53:33Z",
    "title_canon_sha256": "6444db65e5bca0041aebeac74f307079513a537b32612b12e19af69ea41b451a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00770",
    "kind": "arxiv",
    "version": 1
  }
}