Pith Number

pith:T3IXH3QP

pith:2011:T3IXH3QPNUFZ2AIB7VR3HIUAHN

not attested not anchored not stored refs pending

Extra connectivity measures of 3-ary n-cubes

Juanjuan Ren, Qiang Zhu, Xinke Wang

arxiv:1105.0991 v1 · 2011-05-05 · cs.DM · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3IXH3QPNUFZ2AIB7VR3HIUAHN}

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	2026-05-18T04:22:49.490043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed173ee0f6d0b9d0101fd63b3a2803b708493fe11459b03b3daa6f1ac99d9cb

Aliases

arxiv: 1105.0991 · arxiv_version: 1105.0991v1 · doi: 10.48550/arxiv.1105.0991 · pith_short_12: T3IXH3QPNUFZ · pith_short_16: T3IXH3QPNUFZ2AIB · pith_short_8: T3IXH3QP

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/T3IXH3QPNUFZ2AIB7VR3HIUAHN \
  | 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: 9ed173ee0f6d0b9d0101fd63b3a2803b708493fe11459b03b3daa6f1ac99d9cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fac83fbf19cf2ee19266a1af62c76b273353403504993f46cb16a618aaf100c",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-05-05T06:49:07Z",
    "title_canon_sha256": "6917cb009f2a395e3bac6a5f3032bec26883e2745f5c8151796587f93f9290f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0991",
    "kind": "arxiv",
    "version": 1
  }
}