Pith Number

pith:OW56VJUU

pith:2010:OW56VJUURLTEST76IFLHQC2UQT

not attested not anchored not stored refs pending

The Limiting Spectral Measure for Ensembles of Symmetric Block Circulant Matrices

Frederick W. Strauch, Gene S. Kopp, Murat Kologlu, Steven J. Miller, Wentao Xiong

arxiv:1008.4812 v5 · 2010-08-27 · 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{OW56VJUURLTEST76IFLHQC2UQT}

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	2026-05-18T04:19:12.319596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75bbeaa6948ae6494ffe4156780b5484f2498ce5de827b22a1f5f804b3bb678a

Aliases

arxiv: 1008.4812 · arxiv_version: 1008.4812v5 · doi: 10.48550/arxiv.1008.4812 · pith_short_12: OW56VJUURLTE · pith_short_16: OW56VJUURLTEST76 · pith_short_8: OW56VJUU

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/OW56VJUURLTEST76IFLHQC2UQT \
  | 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: 75bbeaa6948ae6494ffe4156780b5484f2498ce5de827b22a1f5f804b3bb678a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de79a0bd09045b95bff61c4d9465da81bd79c7f0899691a56d95a6e0fc11a479",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-27T21:40:45Z",
    "title_canon_sha256": "7b7bfe45b2a06951c34e26eb9883c5c8dddf13b7cbdbf2262d5d939d9bf72fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4812",
    "kind": "arxiv",
    "version": 5
  }
}