Pith Number

pith:ZSYOX4JM

pith:2018:ZSYOX4JMEWOCSGK2P5WJMRDGLN

not attested not anchored not stored refs pending

Concentration of random graphs and application to community detection

Can M. Le, Elizaveta Levina, Roman Vershynin

arxiv:1801.08724 v1 · 2018-01-26 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSYOX4JMEWOCSGK2P5WJMRDGLN}

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	2026-05-18T00:25:03.176822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb0ebf12c259c29195a7f6c9644665b4d5553f90c04611eff300239277abf33

Aliases

arxiv: 1801.08724 · arxiv_version: 1801.08724v1 · doi: 10.48550/arxiv.1801.08724 · pith_short_12: ZSYOX4JMEWOC · pith_short_16: ZSYOX4JMEWOCSGK2 · pith_short_8: ZSYOX4JM

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/ZSYOX4JMEWOCSGK2P5WJMRDGLN \
  | 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: ccb0ebf12c259c29195a7f6c9644665b4d5553f90c04611eff300239277abf33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f5f8145b9e81ced6ce56e2a0cb7705e1fff70207e50550efbc0e78b64804453",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-01-26T09:24:19Z",
    "title_canon_sha256": "ffc47c9a8318984d796a2db466826dbbf761edc08b0e4a23c6e212298434e9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08724",
    "kind": "arxiv",
    "version": 1
  }
}