Pith Number

pith:4WM7UARN

pith:2014:4WM7UARNWCPZVJGS3THXHR5C62

not attested not anchored not stored refs pending

On H\"{o}lder and Minkowski Type Inequalities

Josip Pe\v{c}ari\'c, Ljiljanka Kvesi\'c, Petr Chunaev

arxiv:1402.3998 v2 · 2014-02-17 · 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{4WM7UARNWCPZVJGS3THXHR5C62}

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	2026-05-18T01:55:43.288258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e599fa022db09f9aa4d2dccf73c7a2f680c2fa5339cb1aa2d543c8bb7f084ccb

Aliases

arxiv: 1402.3998 · arxiv_version: 1402.3998v2 · doi: 10.48550/arxiv.1402.3998 · pith_short_12: 4WM7UARNWCPZ · pith_short_16: 4WM7UARNWCPZVJGS · pith_short_8: 4WM7UARN

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/4WM7UARNWCPZVJGS3THXHR5C62 \
  | 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: e599fa022db09f9aa4d2dccf73c7a2f680c2fa5339cb1aa2d543c8bb7f084ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8596963e29811cbfb6f18d402d9719c27f27b47453acde1cf0d07c71df29e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-02-17T13:34:30Z",
    "title_canon_sha256": "f460c0c21b72f845b581d723850ad54336df6cbd1d6dd8a471205e136c3397e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3998",
    "kind": "arxiv",
    "version": 2
  }
}