Pith Number

pith:H3QPPFU7

pith:2013:H3QPPFU7EDWWK4ONY2BJA347XK

not attested not anchored not stored refs pending

Asymptotically liberating sequences of random unitary matrices

Brendan Farrell, Greg W. Anderson

arxiv:1302.5688 v4 · 2013-02-22 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3QPPFU7EDWWK4ONY2BJA347XK}

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	2026-05-18T03:01:46.754644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee0f7969f20ed6571cdc682906f9fba8e3984ee29e2eeae27fe653b404ad074

Aliases

arxiv: 1302.5688 · arxiv_version: 1302.5688v4 · doi: 10.48550/arxiv.1302.5688 · pith_short_12: H3QPPFU7EDWW · pith_short_16: H3QPPFU7EDWWK4ON · pith_short_8: H3QPPFU7

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/H3QPPFU7EDWWK4ONY2BJA347XK \
  | 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: 3ee0f7969f20ed6571cdc682906f9fba8e3984ee29e2eeae27fe653b404ad074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d97841614025e009ac709bc51fa2b52a55fabab70843e4e74c8fc57b75925417",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-22T19:50:04Z",
    "title_canon_sha256": "3bf8c761ae0c6902caa77c7da70fcb73ace24830d24c9864e2c84cdd06b42d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5688",
    "kind": "arxiv",
    "version": 4
  }
}