Pith Number

pith:XOPKZALO

pith:2015:XOPKZALODSLPJVJEZFDFVJCOVW

not attested not anchored not stored refs pending

A curious gap in one-dimensional geometric random graphs between connectivity and the absence of isolated node

Jun Zhao, Osman Ya\u{g}an, Virgil Gligor

arxiv:1502.00404 v2 · 2015-02-02 · physics.soc-ph · cs.DM · cs.SI · math.CO · 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{XOPKZALODSLPJVJEZFDFVJCOVW}

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	2026-05-18T02:26:46.632433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9eac816e1c96f4d524c9465aa44eadb4d965404a48d4d3d72a2c17b5d17c7d

Aliases

arxiv: 1502.00404 · arxiv_version: 1502.00404v2 · doi: 10.48550/arxiv.1502.00404 · pith_short_12: XOPKZALODSLP · pith_short_16: XOPKZALODSLPJVJE · pith_short_8: XOPKZALO

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/XOPKZALODSLPJVJEZFDFVJCOVW \
  | 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: bb9eac816e1c96f4d524c9465aa44eadb4d965404a48d4d3d72a2c17b5d17c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6961fb3522bd87f8be7c0569858235ea6c6eba250940ac8dbfe84c9ca2613128",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-02-02T09:03:13Z",
    "title_canon_sha256": "7feb858453d8dfe84a132d31a2d23b5692fcc92222bf60573b0e2bc5d6ff7241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00404",
    "kind": "arxiv",
    "version": 2
  }
}