Pith Number

pith:U6EI4JL3

pith:2008:U6EI4JL3QZOUYXBTKNBSR2ETVI

not attested not anchored not stored refs pending

Asymptotically optimal quantization schemes for Gaussian processes

Benedikt Wilbertz, Gilles Pag\`es (PMA), Harald Luschgy

arxiv:0802.3761 v1 · 2008-02-26 · 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{U6EI4JL3QZOUYXBTKNBSR2ETVI}

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	2026-05-18T03:29:16.713538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7888e257b865d4c5c33534328e893aa2cf340ff243e21223167f80215adab3c

Aliases

arxiv: 0802.3761 · arxiv_version: 0802.3761v1 · doi: 10.48550/arxiv.0802.3761 · pith_short_12: U6EI4JL3QZOU · pith_short_16: U6EI4JL3QZOUYXBT · pith_short_8: U6EI4JL3

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/U6EI4JL3QZOUYXBTKNBSR2ETVI \
  | 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: a7888e257b865d4c5c33534328e893aa2cf340ff243e21223167f80215adab3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7097220a292090f8db35a6012a7f22cc7144b0705aeff1dc8e844b3f29fe2f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2008-02-26T07:25:55Z",
    "title_canon_sha256": "355604fafc6e9d3f9ef7891e4a7aeb11130608ada2c75b6cca44982766ba9f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3761",
    "kind": "arxiv",
    "version": 1
  }
}