Pith Number

pith:CZQZPC2Q

pith:2016:CZQZPC2QLP2GYEFXE7JZ2WZKOI

not attested not anchored not stored refs pending

On the number of cycles in a graph with restricted cycle lengths

Bal\'azs Keszegh, Bal\'azs Patk\'os, Cory Palmer, D\'aniel Gerbner

arxiv:1610.03476 v1 · 2016-10-11 · 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{CZQZPC2QLP2GYEFXE7JZ2WZKOI}

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	2026-05-18T01:02:31.356469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1661978b505bf46c10b727d39d5b2a7231c063eafe02469097fdea952ce468e5

Aliases

arxiv: 1610.03476 · arxiv_version: 1610.03476v1 · doi: 10.48550/arxiv.1610.03476 · pith_short_12: CZQZPC2QLP2G · pith_short_16: CZQZPC2QLP2GYEFX · pith_short_8: CZQZPC2Q

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/CZQZPC2QLP2GYEFXE7JZ2WZKOI \
  | 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: 1661978b505bf46c10b727d39d5b2a7231c063eafe02469097fdea952ce468e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64bb3d5c039841937720edf4476f272282f3a919431200b1c41d80bd22b0ff2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-11T19:48:27Z",
    "title_canon_sha256": "28d5d632c5128b7f6c9bc81c5f8fbfe6d5e5742399f2ea115e2af5cb2b6f78aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03476",
    "kind": "arxiv",
    "version": 1
  }
}