Pith Number

pith:LX4ZPWLF

pith:2018:LX4ZPWLFNRJORGUFMOLQNRXDPG

not attested not anchored not stored refs pending

On the Dual Geometry of Laplacian Eigenfunctions

Alexander Cloninger, Stefan Steinerberger

arxiv:1804.09816 v1 · 2018-04-25 · eess.SP · cs.LG · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LX4ZPWLFNRJORGUFMOLQNRXDPG}

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	2026-05-18T00:17:27.810481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df997d9656c52e89a85639706c6e379bbd3d48e79e1c743ff80894809726e3e

Aliases

arxiv: 1804.09816 · arxiv_version: 1804.09816v1 · doi: 10.48550/arxiv.1804.09816 · pith_short_12: LX4ZPWLFNRJO · pith_short_16: LX4ZPWLFNRJORGUF · pith_short_8: LX4ZPWLF

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/LX4ZPWLFNRJORGUFMOLQNRXDPG \
  | 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: 5df997d9656c52e89a85639706c6e379bbd3d48e79e1c743ff80894809726e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e5c9c2bc0996356cbd143f22da6ea264f18133a27921f17318a1b476aea49d",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2018-04-25T22:02:54Z",
    "title_canon_sha256": "690fb53eae9b6d90e5000e7e2f60df7b9dc8142484c1132d461c80717f32d7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09816",
    "kind": "arxiv",
    "version": 1
  }
}