Pith Number

pith:UJPIXSOZ

pith:2018:UJPIXSOZXETXYMBO7WER6WTEWF

not attested not anchored not stored refs pending

Eigenvalues of random lifts and polynomials of random permutation matrices

Beno\^it Collins, Charles Bordenave

arxiv:1801.00876 v4 · 2018-01-03 · math.PR · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJPIXSOZXETXYMBO7WER6WTEWF}

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.

Cited by

1 paper in Pith

Cutoff for random lifts of weighted graphs

Receipt and verification

First computed	2026-07-05T06:23:52.087131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25e8bc9d9b9277c302efd891f5a64b171cac42feacf8de9410df97a1c7371bb

Aliases

arxiv: 1801.00876 · arxiv_version: 1801.00876v4 · doi: 10.48550/arxiv.1801.00876 · pith_short_12: UJPIXSOZXETX · pith_short_16: UJPIXSOZXETXYMBO · pith_short_8: UJPIXSOZ

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/UJPIXSOZXETXYMBO7WER6WTEWF \
  | 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: a25e8bc9d9b9277c302efd891f5a64b171cac42feacf8de9410df97a1c7371bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514e0a147dee0247e8c3ddbb17aa92efea0d9fd35d451a1abe39ff2e98eb3e53",
    "cross_cats_sorted": [
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-03T00:59:40Z",
    "title_canon_sha256": "69738007b5cc46db4219219246d8df917b4cb1c1eff1d7d34d3e2f0fb8d04578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00876",
    "kind": "arxiv",
    "version": 4
  }
}