Pith Number

pith:CELPHEDP

pith:2015:CELPHEDP2GE6SAHEYLRZVM2HOT

not attested not anchored not stored refs pending

Triangle-free graphs with the maximum number of cycles

Andrii Arman, David S. Gunderson, Sergei Tsaturian

arxiv:1501.01088 v2 · 2015-01-06 · 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{CELPHEDP2GE6SAHEYLRZVM2HOT}

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	2026-05-18T02:20:39.500118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1116f3906fd189e900e4c2e39ab34774de7bd5a8e97842132b26712739f357d7

Aliases

arxiv: 1501.01088 · arxiv_version: 1501.01088v2 · doi: 10.48550/arxiv.1501.01088 · pith_short_12: CELPHEDP2GE6 · pith_short_16: CELPHEDP2GE6SAHE · pith_short_8: CELPHEDP

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/CELPHEDP2GE6SAHEYLRZVM2HOT \
  | 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: 1116f3906fd189e900e4c2e39ab34774de7bd5a8e97842132b26712739f357d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac3fb66a1efe15558599a304e55c166adf4acc32d6925c1dfd7afd4bafa8fc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-06T06:30:30Z",
    "title_canon_sha256": "2aeb1e9c2064c5ce88449f5a5006bf37fc4278c39ae2f0a8ad40b5112d1aa4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01088",
    "kind": "arxiv",
    "version": 2
  }
}