Pith Number

pith:ZGVVDT5F

pith:2012:ZGVVDT5FQUP5ICA3DPYTQ3DXIH

not attested not anchored not stored refs pending

A Tractable Framework for Exact Probability of Node Isolation and Minimum Node Degree Distribution in Finite Multi-hop Networks

Jing Guo, Salman Durrani, Zubair Khalid

arxiv:1212.1283 v3 · 2012-12-06 · cs.IT · cs.NI · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGVVDT5FQUP5ICA3DPYTQ3DXIH}

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	2026-05-18T01:37:11.704010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ab51cfa5851fd4081b1bf1386c7741c44544fd66015a2972cdb4b1c7bdb510

Aliases

arxiv: 1212.1283 · arxiv_version: 1212.1283v3 · doi: 10.48550/arxiv.1212.1283 · pith_short_12: ZGVVDT5FQUP5 · pith_short_16: ZGVVDT5FQUP5ICA3 · pith_short_8: ZGVVDT5F

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/ZGVVDT5FQUP5ICA3DPYTQ3DXIH \
  | 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: c9ab51cfa5851fd4081b1bf1386c7741c44544fd66015a2972cdb4b1c7bdb510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b61bbba05743b0f30b2d42172fad13b881b4658925a9e052a16870d339740de",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-06T10:57:58Z",
    "title_canon_sha256": "c39898f6aa9462050cfb5e39f4a5eb36cbcc3b66466a8ec082c237ffd8e308f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1283",
    "kind": "arxiv",
    "version": 3
  }
}