Pith Number

pith:IX4BZUR4

pith:2015:IX4BZUR4DURMYA35Y4HOSPZMNS

not attested not anchored not stored refs pending

Empirical Spacings of Unfolded Eigenvalues

Kristina Schubert, Martin Venker

arxiv:1505.07664 v2 · 2015-05-28 · 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{IX4BZUR4DURMYA35Y4HOSPZMNS}

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	2026-05-18T01:27:23.615619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f81cd23c1d22cc037dc70ee93f2c6c87ae6dfbfbe959829f225d53c925ae92

Aliases

arxiv: 1505.07664 · arxiv_version: 1505.07664v2 · doi: 10.48550/arxiv.1505.07664 · pith_short_12: IX4BZUR4DURM · pith_short_16: IX4BZUR4DURMYA35 · pith_short_8: IX4BZUR4

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/IX4BZUR4DURMYA35Y4HOSPZMNS \
  | 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: 45f81cd23c1d22cc037dc70ee93f2c6c87ae6dfbfbe959829f225d53c925ae92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0984c3e20a43123837a5e21ec3b6286dba3d29f58194738eb23aebb02dc48cac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-28T12:21:33Z",
    "title_canon_sha256": "db8e493142d531edc383aa3bfd4cc84e6eb030ad04fe438446eca1b4d7d7a30a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07664",
    "kind": "arxiv",
    "version": 2
  }
}