Pith Number

pith:YDKHWUHR

pith:2015:YDKHWUHRBZIBTK534Z3WWRSQ2K

not attested not anchored not stored refs pending

Robust dimension-free Gram operator estimates

Ilaria Giulini

arxiv:1511.06259 v2 · 2015-11-19 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDKHWUHRBZIBTK534Z3WWRSQ2K}

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	2026-05-18T00:47:33.866589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d47b50f10e5019abbbe6776b4650d2999c95d3974b61c318d21ee39495693e

Aliases

arxiv: 1511.06259 · arxiv_version: 1511.06259v2 · doi: 10.48550/arxiv.1511.06259 · pith_short_12: YDKHWUHRBZIB · pith_short_16: YDKHWUHRBZIBTK53 · pith_short_8: YDKHWUHR

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/YDKHWUHRBZIBTK534Z3WWRSQ2K \
  | 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: c0d47b50f10e5019abbbe6776b4650d2999c95d3974b61c318d21ee39495693e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e90621548116ab3f049a6a9deeed5acff4f9ee3784e9f001a1d9b13e4d3ea9b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-11-19T17:03:01Z",
    "title_canon_sha256": "2274bb26bc54e211f8929cc84c996af53fe5ba5414518b22edf3abc915e30d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06259",
    "kind": "arxiv",
    "version": 2
  }
}