Pith Number

pith:ASJ75Q4E

pith:2019:ASJ75Q4ENAKQCIWBKUTYMY4TYF

not attested not anchored not stored refs pending

Lyapunov Inequalities for Nabla Caputo Boundary Value Problems

Areeba Ikram

arxiv:1907.08847 v1 · 2019-07-20 · 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{ASJ75Q4ENAKQCIWBKUTYMY4TYF}

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	2026-05-17T23:40:03.006498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0493fec38468150122c15527866393c149f0c309a0ea29130f213ce708d1d0e7

Aliases

arxiv: 1907.08847 · arxiv_version: 1907.08847v1 · doi: 10.48550/arxiv.1907.08847 · pith_short_12: ASJ75Q4ENAKQ · pith_short_16: ASJ75Q4ENAKQCIWB · pith_short_8: ASJ75Q4E

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/ASJ75Q4ENAKQCIWBKUTYMY4TYF \
  | 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: 0493fec38468150122c15527866393c149f0c309a0ea29130f213ce708d1d0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed1c7f04dda51275ae2ce200777eb925dd0d842ff833979eb97fe3c54ba53615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-20T17:45:40Z",
    "title_canon_sha256": "8c540ba1a9dffb90a6b630f8b1f75f131718cf2861da2b3a10f5c5cb295f38ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08847",
    "kind": "arxiv",
    "version": 1
  }
}