Pith Number

pith:55V77C3Z

pith:2023:55V77C3ZBA4QPZRDBH764B7XQX

not attested not anchored not stored refs pending

On the concentration of subgaussian vectors and positive quadratic forms in Hilbert spaces

Claudia Schillings, Mattes Mollenhauer

arxiv:2306.11404 v2 · 2023-06-20 · 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{55V77C3ZBA4QPZRDBH764B7XQX}

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	2026-07-05T06:56:34.711703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6bff8b79083907e62309ffee07f785f741593e15d079628f18ff4b9927c3bb

Aliases

arxiv: 2306.11404 · arxiv_version: 2306.11404v2 · doi: 10.48550/arxiv.2306.11404 · pith_short_12: 55V77C3ZBA4Q · pith_short_16: 55V77C3ZBA4QPZRD · pith_short_8: 55V77C3Z

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/55V77C3ZBA4QPZRDBH764B7XQX \
  | 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: ef6bff8b79083907e62309ffee07f785f741593e15d079628f18ff4b9927c3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7983445b4bde46fd26b3499089d8f54f8924c2bed52d88a7672128b31c3914da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-20T09:24:31Z",
    "title_canon_sha256": "eea0197c28a9d18b89ae5ce04f0ae8f5e54914e65587da2cc7bd023763382684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.11404",
    "kind": "arxiv",
    "version": 2
  }
}