Pith Number

pith:5CTXRDSM

pith:2015:5CTXRDSM5TACB4PRDLEZ2YXVCX

not attested not anchored not stored refs pending

Optimal bounds for convergence of expected spectral distributions to the semi-circular law for the $4+\epsilon$ moment ensemble

A. Tikhomirov, F. G\"otze

arxiv:1511.03692 v1 · 2015-11-11 · 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{5CTXRDSM5TACB4PRDLEZ2YXVCX}

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	2026-05-18T01:27:07.011772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8a7788e4cecc020f1f11ac99d62f515dcf19533c5e64589cf128d6ffa03b703

Aliases

arxiv: 1511.03692 · arxiv_version: 1511.03692v1 · doi: 10.48550/arxiv.1511.03692 · pith_short_12: 5CTXRDSM5TAC · pith_short_16: 5CTXRDSM5TACB4PR · pith_short_8: 5CTXRDSM

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/5CTXRDSM5TACB4PRDLEZ2YXVCX \
  | 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: e8a7788e4cecc020f1f11ac99d62f515dcf19533c5e64589cf128d6ffa03b703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd74333753244c020f3cdb90adeed2934b5a9eefcc4fe1eb4734ecba5185e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-11T21:31:50Z",
    "title_canon_sha256": "97d3c87ec9c602f55b911c433e3e58218e236dccf87b4814939052b329a93081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03692",
    "kind": "arxiv",
    "version": 1
  }
}