Pith Number

pith:YF6M7TWF

pith:2011:YF6M7TWFMIMS5QDEB3X3TI3GL6

not attested not anchored not stored refs pending

Traffic distributions and independence: permutation invariant random matrices and the three notions of independence

Camille Male

arxiv:1111.4662 v8 · 2011-11-20 · math.PR · cs.DM · math.CO · 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{YF6M7TWFMIMS5QDEB3X3TI3GL6}

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.

Cited by

2 papers in Pith

High-Dimensional Statistics: Reflections on Progress and Open Problems

Receipt and verification

First computed	2026-05-18T00:21:47.090643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17ccfcec562192ec0640eefb9a3665f9fab4bb88aaea2d9b7be3088b0532f6f

Aliases

arxiv: 1111.4662 · arxiv_version: 1111.4662v8 · doi: 10.48550/arxiv.1111.4662 · pith_short_12: YF6M7TWFMIMS · pith_short_16: YF6M7TWFMIMS5QDE · pith_short_8: YF6M7TWF

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/YF6M7TWFMIMS5QDEB3X3TI3GL6 \
  | 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: c17ccfcec562192ec0640eefb9a3665f9fab4bb88aaea2d9b7be3088b0532f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c59265a27c424975c6216975b2ad02b8d278a73f0c75ee2d9e745f42833f510",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-20T18:37:56Z",
    "title_canon_sha256": "ffe9e9caeb5b4b2a85e932b4313cbe80ecf38be8a8e2b22c5845b6cd6dae3098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4662",
    "kind": "arxiv",
    "version": 8
  }
}