Pith Number

pith:LOOCQRFV

pith:2025:LOOCQRFVMDQYGTW7WNDTQOM6IM

not attested not anchored not stored refs pending

The Capacitary John-Nirenberg Inequality Revisited

Daniel Spector, Prasun Roychowdhury, Riju Basak, You-Wei Benson Chen

arxiv:2501.11412 v1 · 2025-01-20 · math.FA · 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{LOOCQRFVMDQYGTW7WNDTQOM6IM}

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	2026-07-05T12:01:44.185165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9c2844b560e1834edfb34738399e4312cc5ae1097e4d4870b91906592b2c12

Aliases

arxiv: 2501.11412 · arxiv_version: 2501.11412v1 · doi: 10.48550/arxiv.2501.11412 · pith_short_12: LOOCQRFVMDQY · pith_short_16: LOOCQRFVMDQYGTW7 · pith_short_8: LOOCQRFV

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/LOOCQRFVMDQYGTW7WNDTQOM6IM \
  | 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: 5b9c2844b560e1834edfb34738399e4312cc5ae1097e4d4870b91906592b2c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cc225591932ce6a375eb482e54bb0f38ff1017ec16f401eaba794dbedd800f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-01-20T11:25:30Z",
    "title_canon_sha256": "65f2787826361598e290c7cc6ea4059c435da3732c7fafabac27513a02bf0c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11412",
    "kind": "arxiv",
    "version": 1
  }
}