Pith Number

pith:QHSMUO7P

pith:2008:QHSMUO7PWB4IAN3GEFA3QW7HMU

not attested not anchored not stored refs pending

An Ostrowski-Gruss type inequality on time scales

Quoc Anh Ngo, Wenjun Liu

arxiv:0804.3231 v1 · 2008-04-21 · math.FA · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHSMUO7PWB4IAN3GEFA3QW7HMU}

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	2026-05-18T04:25:11.701986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e4ca3befb0788037662141b85be7651adc5ecb30c607bd2d8e5fa51af812fd

Aliases

arxiv: 0804.3231 · arxiv_version: 0804.3231v1 · doi: 10.48550/arxiv.0804.3231 · pith_short_12: QHSMUO7PWB4I · pith_short_16: QHSMUO7PWB4IAN3G · pith_short_8: QHSMUO7P

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/QHSMUO7PWB4IAN3GEFA3QW7HMU \
  | 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: 81e4ca3befb0788037662141b85be7651adc5ecb30c607bd2d8e5fa51af812fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392f90d25e3d3ca9d378ea5628db233b0fa42823e521ffcc20c7a547892e732b",
    "cross_cats_sorted": [
      "math.GM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-04-21T03:43:17Z",
    "title_canon_sha256": "d46b9a6a7be4b6c9274c8f5922c04c85a7b1b815d7dbda4c2f710f777a8af32f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3231",
    "kind": "arxiv",
    "version": 1
  }
}