Pith Number

pith:TFLYLVAK

pith:2017:TFLYLVAK23J3KFNOKFL7CVMDPD

not attested not anchored not stored refs pending

A Gronwall inequality for a general Caputo fractional operator

Ricardo Almeida

arxiv:1705.10079 v1 · 2017-05-29 · 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{TFLYLVAK23J3KFNOKFL7CVMDPD}

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	2026-05-18T00:43:32.011544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995785d40ad6d3b515ae5157f1558378c4b36ce3df05804fe5c01bd3085262b0

Aliases

arxiv: 1705.10079 · arxiv_version: 1705.10079v1 · doi: 10.48550/arxiv.1705.10079 · pith_short_12: TFLYLVAK23J3 · pith_short_16: TFLYLVAK23J3KFNO · pith_short_8: TFLYLVAK

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/TFLYLVAK23J3KFNOKFL7CVMDPD \
  | 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: 995785d40ad6d3b515ae5157f1558378c4b36ce3df05804fe5c01bd3085262b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde6917f0190d6334e38cd3e13999d7dfbbeee79dc297a5291390e06b773bc40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-29T08:55:54Z",
    "title_canon_sha256": "3682819c5429a50329642567b941bf14d7dadc5c7f5200c2f6a258588d7a0f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10079",
    "kind": "arxiv",
    "version": 1
  }
}