Pith Number

pith:WCIFHSDP

pith:2007:WCIFHSDPDWXASKYBIE33AP4DSM

not attested not anchored not stored refs pending

Remarks about Hardy inequalities on metric trees

Hynek Kovarik, Rupert L. Frank, Tomas Ekholm

arxiv:0711.1943 v1 · 2007-11-13 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCIFHSDPDWXASKYBIE33AP4DSM}

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	2026-05-18T04:40:32.990737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09053c86f1dae092b014137b03f839328cf4e19bfabca728f1b8ef781deb3d2

Aliases

arxiv: 0711.1943 · arxiv_version: 0711.1943v1 · doi: 10.48550/arxiv.0711.1943 · pith_short_12: WCIFHSDPDWXA · pith_short_16: WCIFHSDPDWXASKYB · pith_short_8: WCIFHSDP

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/WCIFHSDPDWXASKYBIE33AP4DSM \
  | 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: b09053c86f1dae092b014137b03f839328cf4e19bfabca728f1b8ef781deb3d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dbc91d09cb5f9ab5e45f27ad2b7b01ef703e5689979af223ebb34b1253ef3c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-11-13T09:58:02Z",
    "title_canon_sha256": "8a13c8d4b652471c9655924d7cfdc57f0782b5f2b76ff4092323bbc3e1374029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1943",
    "kind": "arxiv",
    "version": 1
  }
}