Pith Number

pith:OIR7RCTX

pith:2007:OIR7RCTXAONQXYCJER25PXULXJ

not attested not anchored not stored refs pending

Quadratic optimal functional quantization of stochastic processes and numerical applications

Gilles Pag\`es (PMA)

arxiv:0706.4450 v1 · 2007-06-29 · 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{OIR7RCTXAONQXYCJER25PXULXJ}

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	2026-05-18T03:29:16.730980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7223f88a77039b0be0492475d7de8bba7d7e5b4a282492e80e1c6afbdaec8c6d

Aliases

arxiv: 0706.4450 · arxiv_version: 0706.4450v1 · doi: 10.48550/arxiv.0706.4450 · pith_short_12: OIR7RCTXAONQ · pith_short_16: OIR7RCTXAONQXYCJ · pith_short_8: OIR7RCTX

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/OIR7RCTXAONQXYCJER25PXULXJ \
  | 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: 7223f88a77039b0be0492475d7de8bba7d7e5b4a282492e80e1c6afbdaec8c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23c786f63101155b3a1afa92e20389663afa7ae9b6ca29c71b5e027e9fb56afc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-29T15:53:27Z",
    "title_canon_sha256": "14bee80f408fe5b92fb7b9a0185a506ea3b6eb25fe8ea016f198cb1f54429f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4450",
    "kind": "arxiv",
    "version": 1
  }
}