Pith Number

pith:NP2QFAPV

pith:2019:NP2QFAPVZU75T7JQAFUH64555M

not attested not anchored not stored refs pending

Eigenvalues and Spectral Dimension of Random Geometric Graphs in Thermodynamic Regime

Konstantin Avrachenkov, Laura Cottatellucci, Mounia Hamidouche

arxiv:1910.08869 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{NP2QFAPVZU75T7JQAFUH64555M}

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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	2026-07-05T00:13:20.434824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf50281f5cd3fd9fd3001687f73bdeb01db9fc9901197e810fb561fa0e7f7ad

Aliases

arxiv: 1910.08869 · arxiv_version: 1910.08869v1 · doi: 10.48550/arxiv.1910.08869 · pith_short_12: NP2QFAPVZU75 · pith_short_16: NP2QFAPVZU75T7JQ · pith_short_8: NP2QFAPV

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/NP2QFAPVZU75T7JQAFUH64555M \
  | 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: 6bf50281f5cd3fd9fd3001687f73bdeb01db9fc9901197e810fb561fa0e7f7ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6438ff44218887233bfbe891dd3c8430cdcf4e79ae948fd0a7ce4e14d658915",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-10-20T01:34:17Z",
    "title_canon_sha256": "e04d8db44e9a5ca7574d7def0d86b53e591f7847c46081e6af5b0374b01fdd4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08869",
    "kind": "arxiv",
    "version": 1
  }
}