Pith Number

pith:4QO7X376

pith:2017:4QO7X376BCFDFYT3HJED3ITMRF

not attested not anchored not stored refs pending

Long rainbow cycles and Hamiltonian cycles using many colors in properly edge-colored complete graphs

Jozsef Balogh, Theodore Molla

arxiv:1706.04950 v1 · 2017-06-15 · 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{4QO7X376BCFDFYT3HJED3ITMRF}

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	2026-05-18T00:42:18.446437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41dfbeffe088a32e27b3a483da26c896d4fb6b668f31fad3f606450ef720a93

Aliases

arxiv: 1706.04950 · arxiv_version: 1706.04950v1 · doi: 10.48550/arxiv.1706.04950 · pith_short_12: 4QO7X376BCFD · pith_short_16: 4QO7X376BCFDFYT3 · pith_short_8: 4QO7X376

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/4QO7X376BCFDFYT3HJED3ITMRF \
  | 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: e41dfbeffe088a32e27b3a483da26c896d4fb6b668f31fad3f606450ef720a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45edf3f7ebe585d7a3c425af848ea86d2d8fe905b948b60cf8ecd2cdcb2233f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-15T16:16:49Z",
    "title_canon_sha256": "140134f21c39cec338a67aa9436fe9fa31510bf6ced13d20040e3aaeb35e4528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04950",
    "kind": "arxiv",
    "version": 1
  }
}