Pith Number

pith:M2XPDHGW

pith:2012:M2XPDHGWYSO5S2TUKPOSPZGVJT

not attested not anchored not stored refs pending

Limiting Spectral Distribution of Sum of Unitary and Orthogonal Matrices

Amir Dembo, Anirban Basak

arxiv:1208.5100 v4 · 2012-08-25 · 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{M2XPDHGWYSO5S2TUKPOSPZGVJT}

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	2026-05-18T03:19:22.513284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66aef19cd6c49dd96a7453dd27e4d54cc8ede4cced6b069996cb29063438c294

Aliases

arxiv: 1208.5100 · arxiv_version: 1208.5100v4 · doi: 10.48550/arxiv.1208.5100 · pith_short_12: M2XPDHGWYSO5 · pith_short_16: M2XPDHGWYSO5S2TU · pith_short_8: M2XPDHGW

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/M2XPDHGWYSO5S2TUKPOSPZGVJT \
  | 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: 66aef19cd6c49dd96a7453dd27e4d54cc8ede4cced6b069996cb29063438c294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2d225abe4463874b7a2c39c4d0095ca9eddaf4d8f02ac6e6dc51edf71f9c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-25T05:07:29Z",
    "title_canon_sha256": "1ff47c93c9ad64aa62f99f5b66f21d9a185f6f30960db7fe0f553d1305864674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5100",
    "kind": "arxiv",
    "version": 4
  }
}