Pith Number

pith:QPFANVCX

pith:2019:QPFANVCX65WWPPMJNITHUQTHHI

not attested not anchored not stored refs pending

Some Gruss type inequalities for Frechet differentiable mappings

Amir Ghasem Ghazanfari, Teimouri Azadbakht

arxiv:1908.05326 v1 · 2019-08-14 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPFANVCX65WWPPMJNITHUQTHHI}

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	2026-07-04T23:56:50.232656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ca06d457f76d67bd896a267a42673a1d4982cb9532d6c1202e37bf465e51f8

Aliases

arxiv: 1908.05326 · arxiv_version: 1908.05326v1 · doi: 10.48550/arxiv.1908.05326 · pith_short_12: QPFANVCX65WW · pith_short_16: QPFANVCX65WWPPMJ · pith_short_8: QPFANVCX

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/QPFANVCX65WWPPMJNITHUQTHHI \
  | 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: 83ca06d457f76d67bd896a267a42673a1d4982cb9532d6c1202e37bf465e51f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1dc7d19e27bbcbbf5d45f401102a297e8c3729af73f924d8e47a9d1eb13e45f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-14T19:47:51Z",
    "title_canon_sha256": "1f74fc21f1f756de9878f1bad468b83db8e45f6b3a3315ddbbebc1e2257e9357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05326",
    "kind": "arxiv",
    "version": 1
  }
}