Pith Number

pith:3CWRVU2Q

pith:2019:3CWRVU2QHB263UQZGYVRGBHUA7

not attested not anchored not stored refs pending

Spectral Analysis of the Adjacency Matrix of Random Geometric Graphs

Konstantin Avrachenkov, Laura Cottatellucci, Mounia Hamidouche

arxiv:1910.08871 v1 · 2019-10-20 · math.SP · cs.DM · 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{3CWRVU2QHB263UQZGYVRGBHUA7}

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	2026-07-05T00:13:20.454437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ad1ad3503875edd219362b1304f407d4eb0cb3e70857f92a38db367da53719

Aliases

arxiv: 1910.08871 · arxiv_version: 1910.08871v1 · doi: 10.48550/arxiv.1910.08871 · pith_short_12: 3CWRVU2QHB26 · pith_short_16: 3CWRVU2QHB263UQZ · pith_short_8: 3CWRVU2Q

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/3CWRVU2QHB263UQZGYVRGBHUA7 \
  | 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: d8ad1ad3503875edd219362b1304f407d4eb0cb3e70857f92a38db367da53719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada9c2b3a7b2291479ec8716e846ee2ef2a8d1e8475bb1c33af1025f34955af0",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-10-20T01:41:35Z",
    "title_canon_sha256": "066bd2d127dc3410021ca8891f6bf7e44ca02d112d5a8e660c906c2c181b5c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08871",
    "kind": "arxiv",
    "version": 1
  }
}