Pith Number

pith:CFXSARM5

pith:2012:CFXSARM5I3DABVP3TREK7XJJ43

not attested not anchored not stored refs pending

Connectivity Threshold of Random Geometric Graphs with Cantor Distributed Vertices

Antar Bandyopadhyay, Farkhondeh Sajadi

arxiv:1204.0667 v2 · 2012-04-03 · 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{CFXSARM5I3DABVP3TREK7XJJ43}

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	2026-05-18T03:49:11.685550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116f20459d46c600d5fb9c48afdd29e6c90fcebcb602a1b8a9de7e3ea50ffecc

Aliases

arxiv: 1204.0667 · arxiv_version: 1204.0667v2 · doi: 10.48550/arxiv.1204.0667 · pith_short_12: CFXSARM5I3DA · pith_short_16: CFXSARM5I3DABVP3 · pith_short_8: CFXSARM5

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/CFXSARM5I3DABVP3TREK7XJJ43 \
  | 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: 116f20459d46c600d5fb9c48afdd29e6c90fcebcb602a1b8a9de7e3ea50ffecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d3a8a73d632f5eb191ab19968b82cc31e5879f6c5667c1ad16a05ac67dc579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-03T11:54:57Z",
    "title_canon_sha256": "fc5518a8fb3a9750f5f63daabc9768e1b87b5d3e976346bb01976d641e649955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0667",
    "kind": "arxiv",
    "version": 2
  }
}