Pith Number

pith:ZX7UJ5FJ

pith:2015:ZX7UJ5FJSPB4MY22U7ZL63QM4H

not attested not anchored not stored refs pending

Higher symmetries of powers of the Laplacian and rings of differential operators

J. T. Stafford, T. Levasseur

arxiv:1508.01664 v2 · 2015-08-07 · math.RT · 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{ZX7UJ5FJSPB4MY22U7ZL63QM4H}

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	2026-05-17T23:53:13.665163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdff44f4a993c3c6635aa7f2bf6e0ce1cff2c5484aae56c98d44404b9f7bdd2f

Aliases

arxiv: 1508.01664 · arxiv_version: 1508.01664v2 · doi: 10.48550/arxiv.1508.01664 · pith_short_12: ZX7UJ5FJSPB4 · pith_short_16: ZX7UJ5FJSPB4MY22 · pith_short_8: ZX7UJ5FJ

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/ZX7UJ5FJSPB4MY22U7ZL63QM4H \
  | 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: cdff44f4a993c3c6635aa7f2bf6e0ce1cff2c5484aae56c98d44404b9f7bdd2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924317a9a1d5b84b69bb36c4e31063e0eb4426553b720d9d7b485c50c295c4ff",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-08-07T12:01:45Z",
    "title_canon_sha256": "8e8a841f2ed22b54991a312925b5f6b8f2b239811bae1ba38ef74ceda1c5205d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01664",
    "kind": "arxiv",
    "version": 2
  }
}