Pith Number

pith:EGWIUJKQ

pith:2017:EGWIUJKQA4JZA6D2TMPSOXXCOD

not attested not anchored not stored refs pending

Minimum Coprime Labelings for Operations on Graphs

John Asplund, N. Bradley Fox

arxiv:1707.04471 v1 · 2017-07-14 · 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{EGWIUJKQA4JZA6D2TMPSOXXCOD}

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	2026-05-18T00:40:18.062707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ac8a2550071390787a9b1f275ee270cd8e7ae371a0a1652f8ff2764a3f7457

Aliases

arxiv: 1707.04471 · arxiv_version: 1707.04471v1 · doi: 10.48550/arxiv.1707.04471 · pith_short_12: EGWIUJKQA4JZ · pith_short_16: EGWIUJKQA4JZA6D2 · pith_short_8: EGWIUJKQ

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/EGWIUJKQA4JZA6D2TMPSOXXCOD \
  | 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: 21ac8a2550071390787a9b1f275ee270cd8e7ae371a0a1652f8ff2764a3f7457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70be0cacde516fbcbfdc89ca00bcaaadd3281d828cedfd9f287ad8f0a76dfccf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-14T11:44:48Z",
    "title_canon_sha256": "9242559e94558f52876bd1849af3dbb1f77ef6e52720a47f5503b37c55fd355e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04471",
    "kind": "arxiv",
    "version": 1
  }
}