Pith Number

pith:QSY6QOFZ

pith:2008:QSY6QOFZVP7T7UWSUC5MZDGMER

not attested not anchored not stored refs pending

Hermite-Hadamard-type inequalities in the approximate integration

Szymon Wasowicz

arxiv:0807.4130 v3 · 2008-07-25 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSY6QOFZVP7T7UWSUC5MZDGMER}

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	2026-05-18T03:51:02.596923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b1e838b9abff3fd2d2a0bacc8ccc247c57c835e6153e1bc761a23671ac093d

Aliases

arxiv: 0807.4130 · arxiv_version: 0807.4130v3 · doi: 10.48550/arxiv.0807.4130 · pith_short_12: QSY6QOFZVP7T · pith_short_16: QSY6QOFZVP7T7UWS · pith_short_8: QSY6QOFZ

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/QSY6QOFZVP7T7UWSUC5MZDGMER \
  | 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: 84b1e838b9abff3fd2d2a0bacc8ccc247c57c835e6153e1bc761a23671ac093d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34338c680f778468307f4e7e66676150c8fdbedf825c03d132f7bd23219ec88f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-07-25T16:02:29Z",
    "title_canon_sha256": "5340a0bccb997d51088ba78a660fab2d32b1e17d7850f26ae30849f5f0fe9cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4130",
    "kind": "arxiv",
    "version": 3
  }
}