Pith Number

pith:VHVOSEGI

pith:2018:VHVOSEGIDZBHKQZP7D73RXCLLN

not attested not anchored not stored refs pending

The Kirchhoff Index of Enhanced Hypercubes

Ping Xu, Qiongxiang Huang

arxiv:1809.07189 v1 · 2018-09-18 · 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{VHVOSEGIDZBHKQZP7D73RXCLLN}

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	2026-05-18T00:05:20.465708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9eae910c81e4275432ff8ffb8dc4b5b7f424f410ba886d34a7dd07d062e57ed

Aliases

arxiv: 1809.07189 · arxiv_version: 1809.07189v1 · doi: 10.48550/arxiv.1809.07189 · pith_short_12: VHVOSEGIDZBH · pith_short_16: VHVOSEGIDZBHKQZP · pith_short_8: VHVOSEGI

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/VHVOSEGIDZBHKQZP7D73RXCLLN \
  | 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: a9eae910c81e4275432ff8ffb8dc4b5b7f424f410ba886d34a7dd07d062e57ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "446c636427d4d2f8ca133642c0009f52bee70e6cdcf6676b173cf01268590553",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-18T03:23:00Z",
    "title_canon_sha256": "5102073f6c24c3329631a4b1698251584379bff9e63fc3d6f5d52ef5f11680c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07189",
    "kind": "arxiv",
    "version": 1
  }
}