Pith Number

pith:4VI7FWUM

pith:2013:4VI7FWUMCJBXHGNESEHULMX5C5

not attested not anchored not stored refs pending

Spherical Dirac GJMS operator determinants

J.S. Dowker

arxiv:1310.5563 v2 · 2013-10-21 · hep-th · gr-qc · math-ph · math.DG · 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{4VI7FWUMCJBXHGNESEHULMX5C5}

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	2026-05-18T02:47:31.483518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e551f2da8c12437399a4910f45b2fd1755b2fe7aa6452bf912e03c8f322d85a2

Aliases

arxiv: 1310.5563 · arxiv_version: 1310.5563v2 · doi: 10.48550/arxiv.1310.5563 · pith_short_12: 4VI7FWUMCJBX · pith_short_16: 4VI7FWUMCJBXHGNE · pith_short_8: 4VI7FWUM

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/4VI7FWUMCJBXHGNESEHULMX5C5 \
  | 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: e551f2da8c12437399a4910f45b2fd1755b2fe7aa6452bf912e03c8f322d85a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9474701fd014d9623236ce1e80074a85f8949ecad816fa8296f81b808dcae08",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-10-21T14:28:55Z",
    "title_canon_sha256": "25e30f55eca6fe17c7e6c7c48cf76f9b42831a9cb5366bec174a01efd8e54a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5563",
    "kind": "arxiv",
    "version": 2
  }
}