Pith Number

pith:IXRMPZ5R

pith:2020:IXRMPZ5REWRCBW5HWR3W3TESXN

not attested not anchored not stored refs pending

A note on Korobov lattice rules for integration of analytic functions

Friedrich Pillichshammer

arxiv:2010.03286 v1 · 2020-10-07 · 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{IXRMPZ5REWRCBW5HWR3W3TESXN}

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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.

Cited by

1 paper in Pith

Numerical computation of Fox functions

Receipt and verification

First computed	2026-07-05T01:41:11.619244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e2c7e7b125a220dba7b4776dcc92bb64fcc25ae1f3eb3e5f4ac1d1dea4790f

Aliases

arxiv: 2010.03286 · arxiv_version: 2010.03286v1 · doi: 10.48550/arxiv.2010.03286 · pith_short_12: IXRMPZ5REWRC · pith_short_16: IXRMPZ5REWRCBW5H · pith_short_8: IXRMPZ5R

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/IXRMPZ5REWRCBW5HWR3W3TESXN \
  | 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: 45e2c7e7b125a220dba7b4776dcc92bb64fcc25ae1f3eb3e5f4ac1d1dea4790f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f1d9c3a3c4ebe23b5c670add806869bdfe3fdaad085cfdca069c8a6284736c",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-10-07T09:04:18Z",
    "title_canon_sha256": "1bc0313cb6fc4dea81690c0f1342fd195debc7d19c5bfc62f32a2bbf561462c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.03286",
    "kind": "arxiv",
    "version": 1
  }
}