Pith Number

pith:JD6DHV4P

pith:2019:JD6DHV4PQW7A72ABGH7EBYNUU2

not attested not anchored not stored refs pending

Outliers in spectrum of sparse Wigner matrices

Konstantin Tikhomirov, Pierre Youssef

arxiv:1904.07985 v4 · 2019-04-16 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JD6DHV4PQW7A72ABGH7EBYNUU2}

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	2026-05-17T23:45:19.947722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48fc33d78f85be0fe80131fe40e1b4a69011a61e22e51d715f89e3c9db451a6d

Aliases

arxiv: 1904.07985 · arxiv_version: 1904.07985v4 · doi: 10.48550/arxiv.1904.07985 · pith_short_12: JD6DHV4PQW7A · pith_short_16: JD6DHV4PQW7A72AB · pith_short_8: JD6DHV4P

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/JD6DHV4PQW7A72ABGH7EBYNUU2 \
  | 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: 48fc33d78f85be0fe80131fe40e1b4a69011a61e22e51d715f89e3c9db451a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547ba8fa564d95be47ec60f7718cadd6925a4a435c197f062e8d64e0a39a66db",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-16T21:03:27Z",
    "title_canon_sha256": "3c432a7ac36875a3d39e2fd863c1b089760c24cad50cf17adc6bc33e55aad70d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07985",
    "kind": "arxiv",
    "version": 4
  }
}