Pith Number

pith:73CRRFQO

pith:2014:73CRRFQOWBNO6V3M4R7WXU4OCY

not attested not anchored not stored refs pending

Chebyshev-Gr\"{u}ss-type inequalities via discrete oscillations

Heiner Gonska, Ioan Ra\c{s}a, Maria-Daniela Rusu

arxiv:1401.7908 v1 · 2014-01-30 · 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{73CRRFQOWBNO6V3M4R7WXU4OCY}

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	2026-05-18T03:00:37.902994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fec518960eb05aef576ce47f6bd38e1613e00e442aa9cdc0b5666cf548bfdfa9

Aliases

arxiv: 1401.7908 · arxiv_version: 1401.7908v1 · doi: 10.48550/arxiv.1401.7908 · pith_short_12: 73CRRFQOWBNO · pith_short_16: 73CRRFQOWBNO6V3M · pith_short_8: 73CRRFQO

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/73CRRFQOWBNO6V3M4R7WXU4OCY \
  | 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: fec518960eb05aef576ce47f6bd38e1613e00e442aa9cdc0b5666cf548bfdfa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca395a0978e25407d806821f7a13dc8869ff61fb0a553ce07f9fe8984ca62a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-30T16:24:31Z",
    "title_canon_sha256": "91c4008e1d0328510512472dad324e9b167321a339cdc1867ff35dbbe5173c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7908",
    "kind": "arxiv",
    "version": 1
  }
}