Pith Number

pith:FT6O72Z7

pith:2011:FT6O72Z7UCNUM3DWTYO3YTEOUR

not attested not anchored not stored refs pending

Some integral inequalities on time scales

Feng Qi, Li Yin

arxiv:1105.1566 v1 · 2011-05-09 · 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{FT6O72Z7UCNUM3DWTYO3YTEOUR}

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	2026-05-18T03:08:14.820504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cfcefeb3fa09b466c769e1dbc4c8ea4739aeb1637af6d479977d57370d83a69

Aliases

arxiv: 1105.1566 · arxiv_version: 1105.1566v1 · doi: 10.48550/arxiv.1105.1566 · pith_short_12: FT6O72Z7UCNU · pith_short_16: FT6O72Z7UCNUM3DW · pith_short_8: FT6O72Z7

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/FT6O72Z7UCNUM3DWTYO3YTEOUR \
  | 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: 2cfcefeb3fa09b466c769e1dbc4c8ea4739aeb1637af6d479977d57370d83a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa381c46bf06d25b210faa0d0ab8d54c83c897be5937a800215396ff5317728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-09T01:43:21Z",
    "title_canon_sha256": "b31ce8011e9b20c9e6d12c6d18e39cae2e56c15b52756febd37727fd171f88c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1566",
    "kind": "arxiv",
    "version": 1
  }
}