Pith Number

pith:2E3TBVNM

pith:2003:2E3TBVNMI7YA2XTTDSXSWO2VUB

not attested not anchored not stored refs pending

A unified approach to improved L^p Hardy inequalities with best constants

A. Tertikas, G. Barbatis, S. Filippas

arxiv:math/0302326 v1 · 2003-02-26 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2E3TBVNMI7YA2XTTDSXSWO2VUB}

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	2026-05-18T01:05:29.069351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13730d5ac47f00d5e731caf2b3b55a04204b44e9b8d199a1764949ee4f7a308

Aliases

arxiv: math/0302326 · arxiv_version: math/0302326v1 · doi: 10.48550/arxiv.math/0302326 · pith_short_12: 2E3TBVNMI7YA · pith_short_16: 2E3TBVNMI7YA2XTT · pith_short_8: 2E3TBVNM

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/2E3TBVNMI7YA2XTTDSXSWO2VUB \
  | 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: d13730d5ac47f00d5e731caf2b3b55a04204b44e9b8d199a1764949ee4f7a308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81dafd6fa95c725f082a1b7953830e2101a9b7b9454ab77dff0a3166e062e0a5",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-02-26T15:10:46Z",
    "title_canon_sha256": "b02f41961f528be663fd22dc47b0638c0ba8c91e60a31da88b5e1c150b93216e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302326",
    "kind": "arxiv",
    "version": 1
  }
}