Pith Number

pith:IN2PPTNK

pith:2015:IN2PPTNKWRDPLAFZDFI6QRF57K

not attested not anchored not stored refs pending

Concentration and regularization of random graphs

Can M. Le, Elizaveta Levina, Roman Vershynin

arxiv:1506.00669 v2 · 2015-06-01 · math.PR · cs.SI · 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{IN2PPTNKWRDPLAFZDFI6QRF57K}

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	2026-05-18T01:09:36.697514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4374f7cdaab446f580b91951e844bdfabcdc16b0dc370c8dc8327531520d08c9

Aliases

arxiv: 1506.00669 · arxiv_version: 1506.00669v2 · doi: 10.48550/arxiv.1506.00669 · pith_short_12: IN2PPTNKWRDP · pith_short_16: IN2PPTNKWRDPLAFZ · pith_short_8: IN2PPTNK

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/IN2PPTNKWRDPLAFZDFI6QRF57K \
  | 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: 4374f7cdaab446f580b91951e844bdfabcdc16b0dc370c8dc8327531520d08c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a22326e04cb17c66a727c49e428cccf2f92fe322c6c7c0c3e4ce9e9ab6643ba8",
    "cross_cats_sorted": [
      "cs.SI",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-01T20:42:28Z",
    "title_canon_sha256": "93218848a6931cc566f784fcb59e36a521ee8b8bcae65ef234645e7f209330f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00669",
    "kind": "arxiv",
    "version": 2
  }
}