Pith Number

pith:E67EQRJA

pith:2013:E67EQRJAXOFKGSHYJHQUQ3RHNZ

not attested not anchored not stored refs pending

Level statistics for one-dimensional Schr\"odinger operators and Gaussian beta ensemble

Fumihiko Nakano

arxiv:1312.6901 v1 · 2013-12-25 · 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{E67EQRJAXOFKGSHYJHQUQ3RHNZ}

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	2026-05-18T01:45:41.873078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27be484520bb8aa348f849e1486e276e446ace7becfcac758c9be58a3fa91caa

Aliases

arxiv: 1312.6901 · arxiv_version: 1312.6901v1 · doi: 10.48550/arxiv.1312.6901 · pith_short_12: E67EQRJAXOFK · pith_short_16: E67EQRJAXOFKGSHY · pith_short_8: E67EQRJA

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/E67EQRJAXOFKGSHYJHQUQ3RHNZ \
  | 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: 27be484520bb8aa348f849e1486e276e446ace7becfcac758c9be58a3fa91caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0221da31c7f0dd7c0c18d35241a484494d9ce797f5d6be593b80faf41270a3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-25T00:44:57Z",
    "title_canon_sha256": "2fc439dae7aac7c07795a590b469e3af2bcbf700d25c35013078a147f30f10ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6901",
    "kind": "arxiv",
    "version": 1
  }
}