Pith Number

pith:OOEPLZ3U

pith:2016:OOEPLZ3U7I7WQ32OOB4ONIZJSC

not attested not anchored not stored refs pending

Permanental random variables, ${M}$-matrices and $\alpha$-permanents

Jay Rosen, Michael B. Marcus

arxiv:1604.06152 v1 · 2016-04-21 · 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{OOEPLZ3U7I7WQ32OOB4ONIZJSC}

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	2026-05-18T01:16:32.482076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7388f5e774fa3f686f4e7078e6a32990be6160ca1404c26ff142c2be39f469e3

Aliases

arxiv: 1604.06152 · arxiv_version: 1604.06152v1 · doi: 10.48550/arxiv.1604.06152 · pith_short_12: OOEPLZ3U7I7W · pith_short_16: OOEPLZ3U7I7WQ32O · pith_short_8: OOEPLZ3U

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/OOEPLZ3U7I7WQ32OOB4ONIZJSC \
  | 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: 7388f5e774fa3f686f4e7078e6a32990be6160ca1404c26ff142c2be39f469e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c3663afde8c9667aeb9d069fd9958e42e1ce68f106497547065fadbce750c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-21T01:15:03Z",
    "title_canon_sha256": "07185616a5da556272e28112be92fd307354b55380f3f8ef6ec57fe6f777a528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06152",
    "kind": "arxiv",
    "version": 1
  }
}