Pith Number

pith:OUFHDD4B

pith:2024:OUFHDD4BCNMUKIIK7WLTTK2ZN4

not attested not anchored not stored refs pending

Uncertainty Principles on Harmonic Manifolds of Rank One

Oliver Brammen

arxiv:2408.16324 v1 · 2024-08-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUFHDD4BCNMUKIIK7WLTTK2ZN4}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:00:39.393751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750a718f81135945210afd9739ab596f03711052adee34ed0fe59ecfb2a47a43

Aliases

arxiv: 2408.16324 · arxiv_version: 2408.16324v1 · doi: 10.48550/arxiv.2408.16324 · pith_short_12: OUFHDD4BCNMU · pith_short_16: OUFHDD4BCNMUKIIK · pith_short_8: OUFHDD4B

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/OUFHDD4BCNMUKIIK7WLTTK2ZN4 \
  | 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: 750a718f81135945210afd9739ab596f03711052adee34ed0fe59ecfb2a47a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77f6e688ab48fb2d3b3120797501d4fc0956027bae730d22011d225ec944311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-08-29T07:59:18Z",
    "title_canon_sha256": "e8b29b7d063b4b2feb9cef01dff24afba35b1a9c5b2ef1eff3aee439db45d048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16324",
    "kind": "arxiv",
    "version": 1
  }
}