Pith Number

pith:VMDOF6HM

pith:2024:VMDOF6HM32535B4FJL75NMD4YI

not attested not anchored not stored refs pending

Twin-free $K_r$-saturated Graphs and Maximally Independent Sets in $K_3$-free Graphs

Asier Calbet

arxiv:2411.19267 v1 · 2024-11-28 · 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{VMDOF6HM32535B4FJL75NMD4YI}

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	2026-07-05T09:42:00.057137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab06e2f8ecdebbbe87854affd6b07cc227527924e0fbd77203466312c090d6f0

Aliases

arxiv: 2411.19267 · arxiv_version: 2411.19267v1 · doi: 10.48550/arxiv.2411.19267 · pith_short_12: VMDOF6HM3253 · pith_short_16: VMDOF6HM32535B4F · pith_short_8: VMDOF6HM

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/VMDOF6HM32535B4FJL75NMD4YI \
  | 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: ab06e2f8ecdebbbe87854affd6b07cc227527924e0fbd77203466312c090d6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9032b46fda77bea7e33849ec1d73db4f21b06c1db6ee852ab88e35b2e9313e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-28T16:59:57Z",
    "title_canon_sha256": "23d869d17fd1a009427780a0f8ac994e25832f7f4fc4b70808a9af2d5e216202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19267",
    "kind": "arxiv",
    "version": 1
  }
}