Pith Number

pith:VGCG2E6Z

pith:2012:VGCG2E6ZYDPSVRVYOEJBKX6F3L

not attested not anchored not stored refs pending

When is the Direct Product of Generalized Mycielskians a Cover Graph?

Chen-Ying Lin, Hsin-Hao Lai, Ko-Wei Lih, Li-Da Tong

arxiv:1202.5720 v1 · 2012-02-26 · 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{VGCG2E6ZYDPSVRVYOEJBKX6F3L}

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	2026-05-18T04:01:24.886743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9846d13d9c0df2ac6b87112155fc5dacb19062e862082b5744a75f5b39322bb

Aliases

arxiv: 1202.5720 · arxiv_version: 1202.5720v1 · doi: 10.48550/arxiv.1202.5720 · pith_short_12: VGCG2E6ZYDPS · pith_short_16: VGCG2E6ZYDPSVRVY · pith_short_8: VGCG2E6Z

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/VGCG2E6ZYDPSVRVYOEJBKX6F3L \
  | 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: a9846d13d9c0df2ac6b87112155fc5dacb19062e862082b5744a75f5b39322bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af7f04a541e7b443a89186f59615f8e2e501972853466313c871e53c9374e7d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-26T03:13:40Z",
    "title_canon_sha256": "072113812f3c6096a78819ddaecf0ea49528692bf5d78c4e971f0e03f5ad9b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5720",
    "kind": "arxiv",
    "version": 1
  }
}