Pith Number

pith:AZ4TTUI7

pith:2026:AZ4TTUI74QUGFMTHFGHEWPY6P5

not attested not anchored not stored refs pending

On $k$-connected vertex-pancyclic graphs without pancyclic edges

Bo Zhou, Leyou Xu

arxiv:2605.21165 v1 · 2026-05-20 · 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{AZ4TTUI74QUGFMTHFGHEWPY6P5}

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	2026-05-21T01:05:40.653831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067939d11fe42862b267298e4b3f1e7f6fcf4b5457b4e3954aeb854a77e1f3a9

Aliases

arxiv: 2605.21165 · arxiv_version: 2605.21165v1 · doi: 10.48550/arxiv.2605.21165 · pith_short_12: AZ4TTUI74QUG · pith_short_16: AZ4TTUI74QUGFMTH · pith_short_8: AZ4TTUI7

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/AZ4TTUI74QUGFMTHFGHEWPY6P5 \
  | 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: 067939d11fe42862b267298e4b3f1e7f6fcf4b5457b4e3954aeb854a77e1f3a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd279360c47fdddda92c468a16d977b09935d66c306b0d7f4324b76fec43dc16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-20T13:32:50Z",
    "title_canon_sha256": "8819c5ed8915227c6d52ebaa2e59ec8006a958c5d351652c3ee71595e81b5b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21165",
    "kind": "arxiv",
    "version": 1
  }
}