Pith Number

pith:4RIFRWI2

pith:2005:4RIFRWI2U4XXDCNN5447FXRIZ7

not attested not anchored not stored refs pending

Functional quantization and metric entropy for Riemann-Liouville processes

Gilles Pag\`es (PMA), Harald Luschgy

arxiv:math/0502375 v1 · 2005-02-17 · 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{4RIFRWI2U4XXDCNN5447FXRIZ7}

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	2026-05-18T01:08:51.287569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45058d91aa72f7189adef39f2de28cfd77d03cc38dbc9be2fefafc1e638d441

Aliases

arxiv: math/0502375 · arxiv_version: math/0502375v1 · doi: 10.48550/arxiv.math/0502375 · pith_short_12: 4RIFRWI2U4XX · pith_short_16: 4RIFRWI2U4XXDCNN · pith_short_8: 4RIFRWI2

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/4RIFRWI2U4XXDCNN5447FXRIZ7 \
  | 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: e45058d91aa72f7189adef39f2de28cfd77d03cc38dbc9be2fefafc1e638d441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d942c13c0fadcc2f65a837c8c6b2672250bfd40ee67e1d82b62418e89cf679",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-02-17T14:00:49Z",
    "title_canon_sha256": "0cd87c893d64844c3bab5033dc943fd71e759c72db7adaee69e9f26c935d0928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502375",
    "kind": "arxiv",
    "version": 1
  }
}