Pith Number

pith:W2V2R7UC

pith:2013:W2V2R7UCA3HFJWOM45BH2M2Z57

not attested not anchored not stored refs pending

On Connectivity Thresholds in the Intersection of Random Key Graphs on Random Geometric Graphs

Ayalvadi Ganesh, B. Santhana Krishnan, D. Manjunath

arxiv:1301.6422 v2 · 2013-01-28 · cs.IT · math.CO · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2V2R7UCA3HFJWOM45BH2M2Z57}

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	2026-05-18T03:26:40.888703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6aba8fe8206ce54d9cce7427d3359efd5fe890d4be018d4ee7a00b8714a53cb

Aliases

arxiv: 1301.6422 · arxiv_version: 1301.6422v2 · doi: 10.48550/arxiv.1301.6422 · pith_short_12: W2V2R7UCA3HF · pith_short_16: W2V2R7UCA3HFJWOM · pith_short_8: W2V2R7UC

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/W2V2R7UCA3HFJWOM45BH2M2Z57 \
  | 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: b6aba8fe8206ce54d9cce7427d3359efd5fe890d4be018d4ee7a00b8714a53cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86785d70ab8503733ebff38ae243767801906d8e1b1df24ee8dd0205aa24f992",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-28T01:17:05Z",
    "title_canon_sha256": "6bf30018a33594b6c2711f7f819ae575f571b48f36287227eb2e162ee81fdf37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6422",
    "kind": "arxiv",
    "version": 2
  }
}