Pith Number

pith:7UPQ2HFB

pith:2025:7UPQ2HFBW4BM6GRV2LN3B7VICW

not attested not anchored not stored refs pending

The Laplace-Beltrami spectrum on Naturally Reductive Homogeneous Spaces

Ilka Agricola, Jonas Henkel

arxiv:2503.21416 v2 · 2025-03-27 · 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{7UPQ2HFBW4BM6GRV2LN3B7VICW}

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

2 papers in Pith

Explicit Laplace Spectra of Homogeneous Principal Bundles

Hodge Laplacian on $1$-forms of homogeneous $3$-spheres

Receipt and verification

First computed	2026-05-17T23:39:18.151533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1f0d1ca1b702cf1a35d2dbb0fea815a6b04dbaa0af811c4c489c2c81a396bf

Aliases

arxiv: 2503.21416 · arxiv_version: 2503.21416v2 · doi: 10.48550/arxiv.2503.21416 · pith_short_12: 7UPQ2HFBW4BM · pith_short_16: 7UPQ2HFBW4BM6GRV · pith_short_8: 7UPQ2HFB

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/7UPQ2HFBW4BM6GRV2LN3B7VICW \
  | 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: fd1f0d1ca1b702cf1a35d2dbb0fea815a6b04dbaa0af811c4c489c2c81a396bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71067503563f244aa57ff6d0d7a04eaec9a00d7d84aec8c0ccae5943c11df1aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-03-27T12:07:45Z",
    "title_canon_sha256": "245e4714738afa1dd557ef5b24bc6904bc893f6ef179689c0a9382f49352e78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.21416",
    "kind": "arxiv",
    "version": 2
  }
}