Pith Number

pith:OBVZVTFO

pith:2026:OBVZVTFOOWCI6GY4YM5LJOQJ5X

not attested not anchored not stored refs pending

On externally supported independence number of graphs

Adriana Roux, Aleksandra Tepeh, Dragana Bo\v{z}ovi\'c, Iztok Peterin

arxiv:2606.22972 v1 · 2026-06-22 · 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{OBVZVTFOOWCI6GY4YM5LJOQJ5X}

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	2026-06-23T03:14:05.630224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

706b9accae75848f1b1cc33ab4ba09edde715d97ac1502316824dfd7c3bb8a22

Aliases

arxiv: 2606.22972 · arxiv_version: 2606.22972v1 · doi: 10.48550/arxiv.2606.22972 · pith_short_12: OBVZVTFOOWCI · pith_short_16: OBVZVTFOOWCI6GY4 · pith_short_8: OBVZVTFO

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/OBVZVTFOOWCI6GY4YM5LJOQJ5X \
  | 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: 706b9accae75848f1b1cc33ab4ba09edde715d97ac1502316824dfd7c3bb8a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cdeabc3cded5266d81ed6f77401527730ccc873a789b6771fb2b9a85d891c46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-22T07:52:43Z",
    "title_canon_sha256": "be50487abe7e8dbab427c1071790d2f9c896b71988be6371e4e8a814c410fb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22972",
    "kind": "arxiv",
    "version": 1
  }
}