Pith Number

pith:5T3FBJSE

pith:2018:5T3FBJSERIEOVQWYBOWFWZ4Q7I

not attested not anchored not stored refs pending

Spectrum of the Laplacian on Regular Polyhedra

Daniel Kaplan, Evan Greif, Robert S. Strichartz, Samuel C. Wiese

arxiv:1809.09909 v1 · 2018-09-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5T3FBJSERIEOVQWYBOWFWZ4Q7I}

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	2026-05-18T00:04:43.314304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf650a6448a08eac2d80bac5b6790fa26ed827eecdfd3b5aef0b060ea4c8992

Aliases

arxiv: 1809.09909 · arxiv_version: 1809.09909v1 · doi: 10.48550/arxiv.1809.09909 · pith_short_12: 5T3FBJSERIEO · pith_short_16: 5T3FBJSERIEOVQWY · pith_short_8: 5T3FBJSE

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/5T3FBJSERIEOVQWYBOWFWZ4Q7I \
  | 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: ecf650a6448a08eac2d80bac5b6790fa26ed827eecdfd3b5aef0b060ea4c8992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2daa45748fd93be66a466081452bdfd701a5f2198823afaa22de9fe20e6bbf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-26T11:10:41Z",
    "title_canon_sha256": "034ed091519bc85f527d4dbe848bd074e646e3eac7691366abce812a42e706a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09909",
    "kind": "arxiv",
    "version": 1
  }
}