Pith Number

pith:ZQP2OFQX

pith:2016:ZQP2OFQXIFDQOQCCDN76YRKTHG

not attested not anchored not stored refs pending

Edge-fault-tolerant edge-bipancyclicity of balanced hypercubes

Min Xu, Pingshan Li

arxiv:1606.05152 v4 · 2016-06-16 · 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{ZQP2OFQXIFDQOQCCDN76YRKTHG}

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	2026-05-18T00:44:13.735769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1fa7161741470740421b7fec455339a776d9a70a6c5f1790de6456e4a7d8b3

Aliases

arxiv: 1606.05152 · arxiv_version: 1606.05152v4 · doi: 10.48550/arxiv.1606.05152 · pith_short_12: ZQP2OFQXIFDQ · pith_short_16: ZQP2OFQXIFDQOQCC · pith_short_8: ZQP2OFQX

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/ZQP2OFQXIFDQOQCCDN76YRKTHG \
  | 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: cc1fa7161741470740421b7fec455339a776d9a70a6c5f1790de6456e4a7d8b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91ecea3bce0a7787826f1b1516556eb582b68f5706cf9f2f46f3a402c053092",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-16T11:54:34Z",
    "title_canon_sha256": "66e8b06809b634fddab3a3164398d438f90ae8219e43e863f271ab80d8dcdec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05152",
    "kind": "arxiv",
    "version": 4
  }
}