Pith Number

pith:KLF6QQRT

pith:2014:KLF6QQRTMEN4C52FTYFKCIZHAU

not attested not anchored not stored refs pending

Hardy's inequality for functions vanishing on a part of the boundary

Joachim Rehberg, Moritz Egert, Robert Haller-Dintelmann

arxiv:1405.6167 v2 · 2014-05-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLF6QQRTMEN4C52FTYFKCIZHAU}

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	2026-05-18T02:27:05.466734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cbe84233611bc177459e0aa123270505d227dc4d09e97fe6d33f2eaa1026b6

Aliases

arxiv: 1405.6167 · arxiv_version: 1405.6167v2 · doi: 10.48550/arxiv.1405.6167 · pith_short_12: KLF6QQRTMEN4 · pith_short_16: KLF6QQRTMEN4C52F · pith_short_8: KLF6QQRT

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/KLF6QQRTMEN4C52FTYFKCIZHAU \
  | 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: 52cbe84233611bc177459e0aa123270505d227dc4d09e97fe6d33f2eaa1026b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a8ee336a1874f6b2ac7f7cd24cb506f25b6021b383f4c65f1bec2b567db1e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-23T18:32:46Z",
    "title_canon_sha256": "558059debe8a8ef7b42b64b6ee19bb7cffb033598d9f09326dbe581b408a3181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6167",
    "kind": "arxiv",
    "version": 2
  }
}