Pith Number

pith:2TAIGKNW

pith:2015:2TAIGKNWWMYF6PDZQULF5CZDCJ

not attested not anchored not stored refs pending

Spacings in Orthogonal and Symplectic Random Matrix Ensembles

Kristina Schubert

arxiv:1501.05637 v1 · 2015-01-22 · 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{2TAIGKNWWMYF6PDZQULF5CZDCJ}

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	2026-05-18T02:28:54.321162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c08329b6b3305f3c7985165e8b231263f56759d91e3c44293f3d89f1d0bc3c

Aliases

arxiv: 1501.05637 · arxiv_version: 1501.05637v1 · doi: 10.48550/arxiv.1501.05637 · pith_short_12: 2TAIGKNWWMYF · pith_short_16: 2TAIGKNWWMYF6PDZ · pith_short_8: 2TAIGKNW

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/2TAIGKNWWMYF6PDZQULF5CZDCJ \
  | 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: d4c08329b6b3305f3c7985165e8b231263f56759d91e3c44293f3d89f1d0bc3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7cb24686d048d19e3d858831b366bda9650a9fa19ee17d493b2efb140cf56ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-22T20:52:31Z",
    "title_canon_sha256": "eab2bd0e907fb4801350b37dc3acf11cc12539fadbf6dc3d768886b038aee2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05637",
    "kind": "arxiv",
    "version": 1
  }
}