Pith Number

pith:5QVLZ6S3

pith:2025:5QVLZ6S3G2IHTUNG235C32DVG5

not attested not anchored not stored refs pending

Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type

Michael Ruzhansky, Tapendu Rana

arxiv:2506.22792 v1 · 2025-06-28 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QVLZ6S3G2IHTUNG235C32DVG5}

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	2026-07-05T11:28:45.522448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2abcfa5b369079d1a6d6fa2de875375e5abba806c090a1b97311f5955626aa

Aliases

arxiv: 2506.22792 · arxiv_version: 2506.22792v1 · doi: 10.48550/arxiv.2506.22792 · pith_short_12: 5QVLZ6S3G2IH · pith_short_16: 5QVLZ6S3G2IHTUNG · pith_short_8: 5QVLZ6S3

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/5QVLZ6S3G2IHTUNG235C32DVG5 \
  | 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: ec2abcfa5b369079d1a6d6fa2de875375e5abba806c090a1b97311f5955626aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04581314a625ea4f64d6d97d57b46a12e56eabd5482aeb8c9ad7b08a7ce39f25",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-28T07:26:35Z",
    "title_canon_sha256": "de02e1ffbcd610a9c4611fbade83b1dd9a090598c4fcdf70ecf813ac6f3b49b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22792",
    "kind": "arxiv",
    "version": 1
  }
}