Pith Number

pith:RMMXA2L5

pith:2014:RMMXA2L5CSR36QWOWICCCMQRIO

not attested not anchored not stored refs pending

An ergodic theorem for permanents of oblong matrices

Godofredo Iommi, Jairo Bochi, Mario Ponce

arxiv:1411.6523 v3 · 2014-11-24 · math.DS · 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{RMMXA2L5CSR36QWOWICCCMQRIO}

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	2026-05-18T01:01:42.478842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b1970697d14a3bf42ceb2042132114397a6790ba70c3de174b108276687894e

Aliases

arxiv: 1411.6523 · arxiv_version: 1411.6523v3 · doi: 10.48550/arxiv.1411.6523 · pith_short_12: RMMXA2L5CSR3 · pith_short_16: RMMXA2L5CSR36QWO · pith_short_8: RMMXA2L5

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/RMMXA2L5CSR36QWOWICCCMQRIO \
  | 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: 8b1970697d14a3bf42ceb2042132114397a6790ba70c3de174b108276687894e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a77ab4d9684f34946059dac76b7274196a4ae6e8e7d8f1fbf293f3ac457f02",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-24T16:50:02Z",
    "title_canon_sha256": "ae3b7043bd6f4440eb1f826f03cbd7a08f564df735310fcc83d0d67c6f0ae173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6523",
    "kind": "arxiv",
    "version": 3
  }
}