Pith Number

pith:UMXDDIUD

pith:2004:UMXDDIUDITVA5MCES4WNFNF7OR

not attested not anchored not stored refs pending

The conformally invariant Laplace-Beltrami operator and factor ordering

Alexander V. Turbiner, Jr., Michael P. Ryan

arxiv:quant-ph/0406167 v2 · 2004-06-23 · quant-ph · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMXDDIUDITVA5MCES4WNFNF7OR}

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	2026-05-18T03:47:09.304005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32e31a28344ea0eb044972cd2b4bf747b8277b0ab22c6596862deee1094562c

Aliases

arxiv: quant-ph/0406167 · arxiv_version: quant-ph/0406167v2 · doi: 10.48550/arxiv.quant-ph/0406167 · pith_short_12: UMXDDIUDITVA · pith_short_16: UMXDDIUDITVA5MCE · pith_short_8: UMXDDIUD

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/UMXDDIUDITVA5MCES4WNFNF7OR \
  | 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: a32e31a28344ea0eb044972cd2b4bf747b8277b0ab22c6596862deee1094562c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b4b8257c1971a42420978b7e2bff40531af8b434065f1b030d25ea0e2d7e35",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-06-23T00:29:43Z",
    "title_canon_sha256": "f215b4121932cb97e09e8d0e3b25973161cdc1e25de4be8babd4bea20462c0f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0406167",
    "kind": "arxiv",
    "version": 2
  }
}