Pith Number

pith:JZRBCRUR

pith:2018:JZRBCRURQZQJGHFFUE26RFOV7C

not attested not anchored not stored refs pending

Even cycles in dense graphs

Andrzej Czygrinow, Jangwon Yie, Neal Bushaw

arxiv:1806.09651 v2 · 2018-06-25 · 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{JZRBCRURQZQJGHFFUE26RFOV7C}

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	2026-05-18T00:10:44.356118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e621146918660931ca5a135e895d5f8834f2a78fed09f4a9967899193592ae1

Aliases

arxiv: 1806.09651 · arxiv_version: 1806.09651v2 · doi: 10.48550/arxiv.1806.09651 · pith_short_12: JZRBCRURQZQJ · pith_short_16: JZRBCRURQZQJGHFF · pith_short_8: JZRBCRUR

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/JZRBCRURQZQJGHFFUE26RFOV7C \
  | 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: 4e621146918660931ca5a135e895d5f8834f2a78fed09f4a9967899193592ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb9d9d132ed56a999f97ef7657869a9209dd5b27f5b77b5faf50f6d5b4865ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-25T18:22:24Z",
    "title_canon_sha256": "11c21c5250180961e508cb646ae417e430ef14694953aae9b4b7c39942ec6e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09651",
    "kind": "arxiv",
    "version": 2
  }
}