Pith Number

pith:REPMOUHV

pith:2011:REPMOUHVC2LDFPJR5NO5GHXXZE

not attested not anchored not stored refs pending

A simple Proof of Stolarsky's Invariance Principle

Johann S. Brauchart, Josef Dick

arxiv:1101.4448 v1 · 2011-01-24 · math.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{REPMOUHVC2LDFPJR5NO5GHXXZE}

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	2026-05-18T02:59:06.785916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891ec750f5169632bd31eb5dd31ef7c928c98589c491b4d599a9fa9d2d313903

Aliases

arxiv: 1101.4448 · arxiv_version: 1101.4448v1 · doi: 10.48550/arxiv.1101.4448 · pith_short_12: REPMOUHVC2LD · pith_short_16: REPMOUHVC2LDFPJR · pith_short_8: REPMOUHV

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/REPMOUHVC2LDFPJR5NO5GHXXZE \
  | 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: 891ec750f5169632bd31eb5dd31ef7c928c98589c491b4d599a9fa9d2d313903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e9fb04b1309b0f081835eddb992e6d6691df7aacb8231902dcc4b8af96c97d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-01-24T05:47:59Z",
    "title_canon_sha256": "c78cd8f7502a9316c2428aa19a5b7d04d78c318b8147c7cb174603c60553acf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4448",
    "kind": "arxiv",
    "version": 1
  }
}