Pith Number

pith:APHSO33X

pith:2017:APHSO33X4VTRF227VVOKRRU3RB

not attested not anchored not stored refs pending

Richardson extrapolation of polynomial lattice rules

Josef Dick, Takashi Goda, Takehito Yoshiki

arxiv:1707.03989 v2 · 2017-07-13 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APHSO33X4VTRF227VVOKRRU3RB}

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	2026-06-04T18:11:09.889364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cf276f77e56712eb5fad5ca8c69b8859b4e3c59f0377ff31f40e032c2b8e9d

Aliases

arxiv: 1707.03989 · arxiv_version: 1707.03989v2 · doi: 10.48550/arxiv.1707.03989 · pith_short_12: APHSO33X4VTR · pith_short_16: APHSO33X4VTRF227 · pith_short_8: APHSO33X

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/APHSO33X4VTRF227VVOKRRU3RB \
  | 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: 03cf276f77e56712eb5fad5ca8c69b8859b4e3c59f0377ff31f40e032c2b8e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e62c93a55486be582aed87d068b9a3be08ffb082f148c44c7bf51c584f2a122",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-07-13T06:44:47Z",
    "title_canon_sha256": "5866c2d0b7313d6eaddfee0b63b1c1699032579f6be3244f1d01d6fec5e3598a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03989",
    "kind": "arxiv",
    "version": 2
  }
}