Pith Number

pith:DGUNJAJW

pith:2014:DGUNJAJWPWBZZESIK4QHMMYKTX

not attested not anchored not stored refs pending

On $k$-connectivity and minimum vertex degree in random $s$-intersection graphs

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

arxiv:1409.6021 v2 · 2014-09-21 · math.CO · cs.DM · cs.SI · math.PR · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGUNJAJWPWBZZESIK4QHMMYKTX}

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	2026-05-18T02:34:51.689896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a8d481367d839c9248572076330a9df9473acbae93827bc9d7e8ee06720049

Aliases

arxiv: 1409.6021 · arxiv_version: 1409.6021v2 · doi: 10.48550/arxiv.1409.6021 · pith_short_12: DGUNJAJWPWBZ · pith_short_16: DGUNJAJWPWBZZESI · pith_short_8: DGUNJAJW

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/DGUNJAJWPWBZZESIK4QHMMYKTX \
  | 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: 19a8d481367d839c9248572076330a9df9473acbae93827bc9d7e8ee06720049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e553e22db4e6318e55441ed5784c46348e3ca506af7eebdc95858468253cf7",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.SI",
      "math.PR",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-21T17:48:32Z",
    "title_canon_sha256": "0b2ebb8da07b24cb42781538052c8d7ca4691c67a64b65b77a163a5f173c8683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6021",
    "kind": "arxiv",
    "version": 2
  }
}