Pith Number

pith:XYHOCIQK

pith:2018:XYHOCIQKNYMD332XKRFRFDD532

not attested not anchored not stored refs pending

Exact asymptotic volume and volume ratio of Schatten unit balls

Christoph Thaele, Joscha Prochno, Zakhar Kabluchko

arxiv:1804.03467 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{XYHOCIQKNYMD332XKRFRFDD532}

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	2026-05-18T00:18:48.100944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be0ee1220a6e183def57544b128c7dde9882ff066fde9ed6cd62a5eb820f0ef8

Aliases

arxiv: 1804.03467 · arxiv_version: 1804.03467v1 · doi: 10.48550/arxiv.1804.03467 · pith_short_12: XYHOCIQKNYMD · pith_short_16: XYHOCIQKNYMD332X · pith_short_8: XYHOCIQK

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/XYHOCIQKNYMD332XKRFRFDD532 \
  | 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: be0ee1220a6e183def57544b128c7dde9882ff066fde9ed6cd62a5eb820f0ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51dadb88de580292028cc6b0070cf27a8e6165ad8be5d14574585edd03c513a5",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-10T11:58:51Z",
    "title_canon_sha256": "d9450e2fd833d7acf9d252f06d50eb7ce5b5657579de3243ff09af6dee000365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03467",
    "kind": "arxiv",
    "version": 1
  }
}