Pith Number

pith:CVPMRBSE

pith:2023:CVPMRBSESLK5MQOZ5NPHPBIE6J

not attested not anchored not stored refs pending

On short edges in complete topological graphs

Andrew Suk

arxiv:2307.08165 v2 · 2023-07-16 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVPMRBSESLK5MQOZ5NPHPBIE6J}

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

Interpolating chromatic and homomorphism thresholds

Receipt and verification

First computed	2026-07-05T07:19:20.851814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155ec8864492d5d641d9eb5e778504f24d5e9330923782a20ca2ffb1544f03cc

Aliases

arxiv: 2307.08165 · arxiv_version: 2307.08165v2 · doi: 10.48550/arxiv.2307.08165 · pith_short_12: CVPMRBSESLK5 · pith_short_16: CVPMRBSESLK5MQOZ · pith_short_8: CVPMRBSE

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/CVPMRBSESLK5MQOZ5NPHPBIE6J \
  | 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: 155ec8864492d5d641d9eb5e778504f24d5e9330923782a20ca2ffb1544f03cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f89ec9583845631ef550793d80acd9775f0d8c17f8227e508e79abd213b471",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-16T22:21:17Z",
    "title_canon_sha256": "7b1b9795c5110998075bb1fd540071ea83efdf4f4bb30041d7fd4c4c7ad6df6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08165",
    "kind": "arxiv",
    "version": 2
  }
}