Pith Number

pith:3F7K4IIC

pith:2016:3F7K4IICPR2PJGHWFUHSUPJN67

not attested not anchored not stored refs pending

A sharp rate of convergence for the empirical spectral measure of a random unitary matrix

Elizabeth S. Meckes, Mark W. Meckes

arxiv:1612.08100 v3 · 2016-12-23 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F7K4IICPR2PJGHWFUHSUPJN67}

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	2026-05-18T00:31:41.809801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97eae21027c74f498f62d0f2a3d2df7f47c98432ba79028fa3d43047585c94b

Aliases

arxiv: 1612.08100 · arxiv_version: 1612.08100v3 · doi: 10.48550/arxiv.1612.08100 · pith_short_12: 3F7K4IICPR2P · pith_short_16: 3F7K4IICPR2PJGHW · pith_short_8: 3F7K4IIC

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/3F7K4IICPR2PJGHWFUHSUPJN67 \
  | 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: d97eae21027c74f498f62d0f2a3d2df7f47c98432ba79028fa3d43047585c94b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007eb75ab3f03796b774653a27fcf7d47d7d2d0d72557f4c7ee3a706bffa4383",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-23T21:19:58Z",
    "title_canon_sha256": "daa5c296eb91aa045b4b7d898e6ed8419ae37557b7079b3cc3d6a138fb1351f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08100",
    "kind": "arxiv",
    "version": 3
  }
}