Pith Number

pith:GPSTL6HL

pith:2013:GPSTL6HL4KQKMRTPSJIS25BAUB

not attested not anchored not stored refs pending

Note on group distance magic complete bipartite graphs

Sylwia Cichacz

arxiv:1302.6131 v2 · 2013-02-25 · 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{GPSTL6HL4KQKMRTPSJIS25BAUB}

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	2026-05-18T00:29:11.192682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e535f8ebe2a0a6466f92512d7420a06b2d1c0be5141435a6bdc1eedbd8ff1e

Aliases

arxiv: 1302.6131 · arxiv_version: 1302.6131v2 · doi: 10.48550/arxiv.1302.6131 · pith_short_12: GPSTL6HL4KQK · pith_short_16: GPSTL6HL4KQKMRTP · pith_short_8: GPSTL6HL

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/GPSTL6HL4KQKMRTPSJIS25BAUB \
  | 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: 33e535f8ebe2a0a6466f92512d7420a06b2d1c0be5141435a6bdc1eedbd8ff1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730c8126e60914eb6fc72e4932129c9803cb539eee557f424af8caec4308e266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-25T15:52:59Z",
    "title_canon_sha256": "7246b9e562684c1bb7b1ce51979c85818a113b3ab838a8000f5f8ef843beb56d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6131",
    "kind": "arxiv",
    "version": 2
  }
}