Pith Number

pith:KB7XUU4Y

pith:2018:KB7XUU4YKQYKS2B7HHNEKKNV4H

not attested not anchored not stored refs pending

Intersection of unit balls in classical matrix ensembles

Christoph Thaele, Joscha Prochno, Zakhar Kabluchko

arxiv:1804.03466 v1 · 2018-04-10 · math.FA · math.MG · 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{KB7XUU4YKQYKS2B7HHNEKKNV4H}

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	2026-05-18T00:18:48.112698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

507f7a53985430a9683f39da4529b5e1e60e7ad8be5578fe7a4ed22c12931234

Aliases

arxiv: 1804.03466 · arxiv_version: 1804.03466v1 · doi: 10.48550/arxiv.1804.03466 · pith_short_12: KB7XUU4YKQYK · pith_short_16: KB7XUU4YKQYKS2B7 · pith_short_8: KB7XUU4Y

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/KB7XUU4YKQYKS2B7HHNEKKNV4H \
  | 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: 507f7a53985430a9683f39da4529b5e1e60e7ad8be5578fe7a4ed22c12931234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015b94ddc151495b8bb230bea5b4d8fd790d6620ead78024a4f2fb5411f1239e",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-10T11:54:54Z",
    "title_canon_sha256": "e6f727295c9904eb65cf7cfc65bf398d372eba8da5a0a2afb6b25fda1b0bc6f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03466",
    "kind": "arxiv",
    "version": 1
  }
}