Pith Number

pith:BNZUE3I7

pith:2016:BNZUE3I7D6SPF25FWDURX4UHIT

not attested not anchored not stored refs pending

On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries

Durvudkhan Suragan, Michael Ruzhansky

arxiv:1603.07781 v1 · 2016-03-24 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNZUE3I7D6SPF25FWDURX4UHIT}

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	2026-05-18T00:53:45.420589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b73426d1f1fa4f2eba5b0e91bf28744f06147c2cc800823dfe4bf8e9034d404

Aliases

arxiv: 1603.07781 · arxiv_version: 1603.07781v1 · doi: 10.48550/arxiv.1603.07781 · pith_short_12: BNZUE3I7D6SP · pith_short_16: BNZUE3I7D6SPF25F · pith_short_8: BNZUE3I7

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/BNZUE3I7D6SPF25FWDURX4UHIT \
  | 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: 0b73426d1f1fa4f2eba5b0e91bf28744f06147c2cc800823dfe4bf8e9034d404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6fc11e0a51e87acc79d99bccade1dca3550bae748ba557552b1e7b371fb177",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-03-24T23:31:04Z",
    "title_canon_sha256": "00d70ed4c8b16a97b3e3e6334057b77cebe73e1c578ea016b7fe98f1c0604625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07781",
    "kind": "arxiv",
    "version": 1
  }
}