Pith Number

pith:3AHQMJZP

pith:2026:3AHQMJZPFGCNIGSL5EWSVHG5US

not attested not anchored not stored refs pending

A sharp three-particle fractional Hardy inequality and an angular Selberg-type identity

Andres Zuniga, Franco Olivares, Rajesh Mahadevan

arxiv:2605.30586 v1 · 2026-05-28 · math-ph · math.AP · 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{3AHQMJZPFGCNIGSL5EWSVHG5US}

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	2026-06-01T01:03:02.616766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80f06272f2984d41a4be92d2a9cdda49197f49a1b86408d91c80d44743a4b47

Aliases

arxiv: 2605.30586 · arxiv_version: 2605.30586v1 · doi: 10.48550/arxiv.2605.30586 · pith_short_12: 3AHQMJZPFGCN · pith_short_16: 3AHQMJZPFGCNIGSL · pith_short_8: 3AHQMJZP

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/3AHQMJZPFGCNIGSL5EWSVHG5US \
  | 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: d80f06272f2984d41a4be92d2a9cdda49197f49a1b86408d91c80d44743a4b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1860dff28bf86dea349e5a0e03bc77820fd590978964586ae34afb75628bd8a1",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-28T21:26:38Z",
    "title_canon_sha256": "58b0083c7d22cc9a577e90e9344ad84e122fd0a7a6f35d53d9f9ec70bf3a89df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30586",
    "kind": "arxiv",
    "version": 1
  }
}