Pith Number

pith:VSW33QIL

pith:2013:VSW33QILON7QBWYPMORGGSHYKQ

not attested not anchored not stored refs pending

On 3-extra connectivity of k-ary n-cubes

Jian-Bing Liu, Mei-Mei Gu, Rong-Xia Hao

arxiv:1309.4961 v3 · 2013-09-19 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSW33QILON7QBWYPMORGGSHYKQ}

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	2026-05-18T02:42:54.044956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acadbdc10b737f00db0f63a26348f8543bbcaedb08d37b7ce8c727ee8c5e0047

Aliases

arxiv: 1309.4961 · arxiv_version: 1309.4961v3 · doi: 10.48550/arxiv.1309.4961 · pith_short_12: VSW33QILON7Q · pith_short_16: VSW33QILON7QBWYP · pith_short_8: VSW33QIL

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/VSW33QILON7QBWYPMORGGSHYKQ \
  | 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: acadbdc10b737f00db0f63a26348f8543bbcaedb08d37b7ce8c727ee8c5e0047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f66e7d58003777a9d1e022f89bab7f50d69947a40f860433dc34fe02f3ce90",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-19T13:18:41Z",
    "title_canon_sha256": "f121100107bcb5227e1488ce8959f2f30fb64fea0179678c77c4dd6057eda5dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4961",
    "kind": "arxiv",
    "version": 3
  }
}