Pith Number

pith:SSGON2DJ

pith:2025:SSGON2DJYHUUOLM5NVCB5YFPG5

not attested not anchored not stored refs pending

On Sierpi\'{n}ski packing chromatic number and recognition of Sierpi\'{n}ski products

P\v{r}emysl Holub, Sandi Klav\v{z}ar

arxiv:2507.06730 v1 · 2025-07-09 · 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{SSGON2DJYHUUOLM5NVCB5YFPG5}

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	2026-07-05T11:34:22.168667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

948ce6e869c1e9472d9d6d441ee0af3775d565ccdb8c032833ef6ba8f6221dae

Aliases

arxiv: 2507.06730 · arxiv_version: 2507.06730v1 · doi: 10.48550/arxiv.2507.06730 · pith_short_12: SSGON2DJYHUU · pith_short_16: SSGON2DJYHUUOLM5 · pith_short_8: SSGON2DJ

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/SSGON2DJYHUUOLM5NVCB5YFPG5 \
  | 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: 948ce6e869c1e9472d9d6d441ee0af3775d565ccdb8c032833ef6ba8f6221dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0011f26ccf390400bb1b4305986523d9beece881379712564c89deeab85e170e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-09T10:43:11Z",
    "title_canon_sha256": "031763eac56d75acc71d0fd7e0d9074e678afb70f25ee82f9b2681e64f574985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06730",
    "kind": "arxiv",
    "version": 1
  }
}