Pith Number

pith:HKSM7XJK

pith:2014:HKSM7XJKT2GZN5FXCLGDYS2AED

not attested not anchored not stored refs pending

A Brascamp-Lieb type covariance estimate

Georg Menz

arxiv:1402.5160 v1 · 2014-02-20 · 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{HKSM7XJKT2GZN5FXCLGDYS2AED}

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	2026-05-18T02:58:22.964457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aa4cfdd2a9e8d96f4b712cc3c4b4020d07778aa55cdd6d91537feb32442b55f

Aliases

arxiv: 1402.5160 · arxiv_version: 1402.5160v1 · doi: 10.48550/arxiv.1402.5160 · pith_short_12: HKSM7XJKT2GZ · pith_short_16: HKSM7XJKT2GZN5FX · pith_short_8: HKSM7XJK

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/HKSM7XJKT2GZN5FXCLGDYS2AED \
  | 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: 3aa4cfdd2a9e8d96f4b712cc3c4b4020d07778aa55cdd6d91537feb32442b55f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc12ed58da5f71f9f35d6e486739745c5ee4f5baa5e6ab712471e6d9c72ceec0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-20T22:26:08Z",
    "title_canon_sha256": "a96c0ebcf4442f81abe5dc3953ecfeb72a887e8ed3cf7298afd34ce867e221ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5160",
    "kind": "arxiv",
    "version": 1
  }
}