Pith Number

pith:53TWGOPI

pith:2015:53TWGOPI2SAH4ZUDAAKCN5ZLWS

not attested not anchored not stored refs pending

Spherical Matrix Ensembles

Gene S. Kopp, Steven J. Miller

arxiv:1501.01848 v2 · 2015-01-08 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53TWGOPI2SAH4ZUDAAKCN5ZLWS}

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	2026-05-18T02:28:11.301614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee76339e8d4807e6683001426f72bb4a2518885c383d12d7ea79cf31cebce12

Aliases

arxiv: 1501.01848 · arxiv_version: 1501.01848v2 · doi: 10.48550/arxiv.1501.01848 · pith_short_12: 53TWGOPI2SAH · pith_short_16: 53TWGOPI2SAH4ZUD · pith_short_8: 53TWGOPI

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/53TWGOPI2SAH4ZUDAAKCN5ZLWS \
  | 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: eee76339e8d4807e6683001426f72bb4a2518885c383d12d7ea79cf31cebce12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d7803085ea5770f4e488eb2b29f7b026be6c5e71724dcf1a497e577c278be3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-08T13:58:47Z",
    "title_canon_sha256": "0b40b38d7424f0491c5018d382e96b4b4a6fab48a3a27c0447dcb8ec5346f8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01848",
    "kind": "arxiv",
    "version": 2
  }
}