Pith Number

pith:IUWI5RMG

pith:2017:IUWI5RMGI7O4QSPBG46EK7MD6P

not attested not anchored not stored refs pending

Universality in the fluctuation of eigenvalues of random circulant matrices

Kartick Adhikari, Koushik Saha

arxiv:1708.02726 v2 · 2017-08-09 · 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{IUWI5RMGI7O4QSPBG46EK7MD6P}

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	2026-05-18T00:23:53.222855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8

Aliases

arxiv: 1708.02726 · arxiv_version: 1708.02726v2 · doi: 10.48550/arxiv.1708.02726 · pith_short_12: IUWI5RMGI7O4 · pith_short_16: IUWI5RMGI7O4QSPB · pith_short_8: IUWI5RMG

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/IUWI5RMGI7O4QSPBG46EK7MD6P \
  | 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: 452c8ec58647ddc849e1373c457d83f3fbe53655c29c673e408f21321ababcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af1087a2e4a3a32a3a74dc6ff8497135b61dbabc8268886f0f11cb3795c6b2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-09T06:10:32Z",
    "title_canon_sha256": "7cfcb9b618c2ac4e04dc6ed466708cbd982b82450c77d107404531e22e22ac7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02726",
    "kind": "arxiv",
    "version": 2
  }
}