Pith Number

pith:IQR6H5K6

pith:2026:IQR6H5K6M5KDBAXYGCNCKNHMQL

not attested not anchored not stored refs pending

Longest cycles and Dirac-type results in highly connected graphs

Bo Ning, Jie Ma, Ziyuan Zhao

arxiv:2606.03696 v1 · 2026-06-02 · 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{IQR6H5K6M5KDBAXYGCNCKNHMQL}

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	2026-06-03T01:06:04.778170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4423e3f55e67543082f8309a2534ec82d6f68868e91f19b945a78783deafd439

Aliases

arxiv: 2606.03696 · arxiv_version: 2606.03696v1 · doi: 10.48550/arxiv.2606.03696 · pith_short_12: IQR6H5K6M5KD · pith_short_16: IQR6H5K6M5KDBAXY · pith_short_8: IQR6H5K6

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/IQR6H5K6M5KDBAXYGCNCKNHMQL \
  | 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: 4423e3f55e67543082f8309a2534ec82d6f68868e91f19b945a78783deafd439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93aae30e2c86165c2507c4a55b4661aa8b5d93660d8633a471ea4ec4b8d82a91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-02T14:17:06Z",
    "title_canon_sha256": "365323c232d1da16589f74f09c6b428a55705ebf51a79be8167e9b3c700183e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03696",
    "kind": "arxiv",
    "version": 1
  }
}