Pith Number

pith:YWQLYY7J

pith:2025:YWQLYY7JJWJEUBVNKDCP3UQQJ4

not attested not anchored not stored refs pending

Regularity and separation for Sierpi\'nski products of graphs

Riccardo W. Maffucci

arxiv:2506.16864 v1 · 2025-06-20 · 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{YWQLYY7JJWJEUBVNKDCP3UQQJ4}

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.

Cited by

1 paper in Pith

The Facial Common Neighbourhood Graph

Receipt and verification

First computed	2026-07-05T11:24:44.197039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a0bc63e94d924a06ad50c4fdd2104f15d82f6c035885bf5764ce7945873adb

Aliases

arxiv: 2506.16864 · arxiv_version: 2506.16864v1 · doi: 10.48550/arxiv.2506.16864 · pith_short_12: YWQLYY7JJWJE · pith_short_16: YWQLYY7JJWJEUBVN · pith_short_8: YWQLYY7J

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/YWQLYY7JJWJEUBVNKDCP3UQQJ4 \
  | 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: c5a0bc63e94d924a06ad50c4fdd2104f15d82f6c035885bf5764ce7945873adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14161e78d61015c5ab7ff1283cfba8c4a5fce940923584d1674202ab48150c48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-20T09:30:16Z",
    "title_canon_sha256": "222683611b805a1446c7aedea650d2fc6e1b5e77ccdb74d21e4a254d905393a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16864",
    "kind": "arxiv",
    "version": 1
  }
}