Pith Number

pith:ZMHLL4QL

pith:2017:ZMHLL4QLMYXGREX4BR3HUB6GGB

not attested not anchored not stored refs pending

On conditional fault tolerance of hierarchical cubic networks

Jun-Ming Xu, Min Liu, Xiang-jun Li, Zheng Yan

arxiv:1709.02013 v1 · 2017-09-06 · 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{ZMHLL4QLMYXGREX4BR3HUB6GGB}

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	2026-05-18T00:35:50.509281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0eb5f20b662e6892fc0c767a07c63044f1c4b3ecf2865403931c40f302160b

Aliases

arxiv: 1709.02013 · arxiv_version: 1709.02013v1 · doi: 10.48550/arxiv.1709.02013 · pith_short_12: ZMHLL4QLMYXG · pith_short_16: ZMHLL4QLMYXGREX4 · pith_short_8: ZMHLL4QL

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/ZMHLL4QLMYXGREX4BR3HUB6GGB \
  | 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: cb0eb5f20b662e6892fc0c767a07c63044f1c4b3ecf2865403931c40f302160b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c02b86e1f91da0e0dbfdf19fd17cf0c850923c17cb3844aef5fa30f9e7ed174",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-06T22:08:31Z",
    "title_canon_sha256": "bb939cfafcabf77de29e429ec99441be16edc306377b198884d195e99031a26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02013",
    "kind": "arxiv",
    "version": 1
  }
}