Pith Number

pith:ZG4DT35E

pith:2014:ZG4DT35EMETLHCKYVAFKG2NV6B

not attested not anchored not stored refs pending

Super edge-magic deficiency of join-product graphs

A.A.G. Ngurah, Rinovia Simanjuntak

arxiv:1401.4522 v2 · 2014-01-18 · 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{ZG4DT35EMETLHCKYVAFKG2NV6B}

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	2026-05-18T02:53:07.421551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b839efa46126b38958a80aa369b5f04c32cd3b552ef8c8e7e891d90a16ada7

Aliases

arxiv: 1401.4522 · arxiv_version: 1401.4522v2 · doi: 10.48550/arxiv.1401.4522 · pith_short_12: ZG4DT35EMETL · pith_short_16: ZG4DT35EMETLHCKY · pith_short_8: ZG4DT35E

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/ZG4DT35EMETLHCKYVAFKG2NV6B \
  | 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: c9b839efa46126b38958a80aa369b5f04c32cd3b552ef8c8e7e891d90a16ada7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7850b56b224661710b9b0dae2b15dae619a9518e9b308d322d216d9a1c4b7293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-18T08:15:14Z",
    "title_canon_sha256": "e5858d6582f3f97d618347a8ac75b4e5b8eba4a246dd0f6ff9fba89659f70a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4522",
    "kind": "arxiv",
    "version": 2
  }
}