Pith Number

pith:OM2S4INW

pith:2017:OM2S4INWZEYG3A5JXHFP63YD2K

not attested not anchored not stored refs pending

Delocalization and Limiting Spectral Distribution of Erd\H{o}s-R\'{e}nyi Graphs with Constant Expected Degree

Jaehun Lee, Paul Jung

arxiv:1710.07002 v2 · 2017-10-19 · 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{OM2S4INWZEYG3A5JXHFP63YD2K}

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	2026-07-05T00:32:35.796035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73352e21b6c9306d83a9b9caff6f03d2bfb3b9772093a2626eb03bc41c19d228

Aliases

arxiv: 1710.07002 · arxiv_version: 1710.07002v2 · doi: 10.48550/arxiv.1710.07002 · pith_short_12: OM2S4INWZEYG · pith_short_16: OM2S4INWZEYG3A5J · pith_short_8: OM2S4INW

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/OM2S4INWZEYG3A5JXHFP63YD2K \
  | 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: 73352e21b6c9306d83a9b9caff6f03d2bfb3b9772093a2626eb03bc41c19d228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9689bb48cfd346738a5724577801776cb79edb23ffba7cfc784c10470be21117",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-19T05:14:14Z",
    "title_canon_sha256": "3e4454dc495d0c67bc1da9e0997893be607be7deb5a2d45cad04dfb352c96d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07002",
    "kind": "arxiv",
    "version": 2
  }
}