Pith Number

pith:MRX7HRYQ

pith:2011:MRX7HRYQRAGHYQWRC3KTWUG7KX

not attested not anchored not stored refs pending

Monotonicity of the Lebesgue constant for equally spaced knots

Markus Passenbrunner

arxiv:1103.1949 v1 · 2011-03-10 · 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{MRX7HRYQRAGHYQWRC3KTWUG7KX}

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	2026-05-18T04:27:03.329344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646ff3c710880c7c42d116d53b50df55e533b10bcce1fa8bbf8c4538da03734c

Aliases

arxiv: 1103.1949 · arxiv_version: 1103.1949v1 · doi: 10.48550/arxiv.1103.1949 · pith_short_12: MRX7HRYQRAGH · pith_short_16: MRX7HRYQRAGHYQWR · pith_short_8: MRX7HRYQ

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/MRX7HRYQRAGHYQWRC3KTWUG7KX \
  | 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: 646ff3c710880c7c42d116d53b50df55e533b10bcce1fa8bbf8c4538da03734c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4797c44a84d2e9f80ad7c1f4a91a2d523ca0d5e3f4c91e111aabc7c4e5fdb1d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-03-10T06:56:44Z",
    "title_canon_sha256": "3c445c44053afaea9e5c6bb8ee132c7ce69cd97b87a6bac2ad0f539eb2ceb10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1949",
    "kind": "arxiv",
    "version": 1
  }
}