Pith Number

pith:SJN7IQ3H

pith:2011:SJN7IQ3HEGTC4GEIBRH7SVPSP3

not attested not anchored not stored refs pending

Higher Symmetries of the Laplacian via Quantization

Jean-Philippe Michel

arxiv:1107.5840 v4 · 2011-07-28 · math.DG · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJN7IQ3HEGTC4GEIBRH7SVPSP3}

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	2026-05-18T02:27:49.845034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925bf4436721a62e18880c4ff955f27ec0f751f7d02472d1a6393d7d0d1c7c46

Aliases

arxiv: 1107.5840 · arxiv_version: 1107.5840v4 · doi: 10.48550/arxiv.1107.5840 · pith_short_12: SJN7IQ3HEGTC · pith_short_16: SJN7IQ3HEGTC4GEI · pith_short_8: SJN7IQ3H

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/SJN7IQ3HEGTC4GEIBRH7SVPSP3 \
  | 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: 925bf4436721a62e18880c4ff955f27ec0f751f7d02472d1a6393d7d0d1c7c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3d25d372de4b32dcb5bf24067981630a0f9ef484516ded3b7709f8aa5f0cc5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-28T22:20:03Z",
    "title_canon_sha256": "ecdced07f8c5fe768f4fe49ece26aeeba3cd55036d341a5effec56c730f4ff3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5840",
    "kind": "arxiv",
    "version": 4
  }
}