Pith Number

pith:VLRSAZYU

pith:2005:VLRSAZYUBL2G7D3VG25YH53E33

not attested not anchored not stored refs pending

High-resolution product quantization for Gaussian processes under sup-norm distortion

Gilles Pag\`es (PMA), Harald Luschgy

arxiv:math/0511208 v2 · 2005-11-08 · 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{VLRSAZYUBL2G7D3VG25YH53E33}

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	2026-05-18T03:29:14.316931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae32067140af46f8f7536bb83f764deeaac799087648521fdb33df912c96190

Aliases

arxiv: math/0511208 · arxiv_version: math/0511208v2 · doi: 10.48550/arxiv.math/0511208 · pith_short_12: VLRSAZYUBL2G · pith_short_16: VLRSAZYUBL2G7D3V · pith_short_8: VLRSAZYU

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/VLRSAZYUBL2G7D3VG25YH53E33 \
  | 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: aae32067140af46f8f7536bb83f764deeaac799087648521fdb33df912c96190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e8b0fa935a9bc3f3a016118b0405d20a93008287fb456f23c4a7a4b649ad72",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-11-08T16:08:47Z",
    "title_canon_sha256": "09476b26fec50954156aed689e941cf64312f98d1f9cd5537ee45f4784bd82a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511208",
    "kind": "arxiv",
    "version": 2
  }
}