Pith Number

pith:HRFGQZWA

pith:2023:HRFGQZWAYZHEYQ577HZVHNNXZ4

not attested not anchored not stored refs pending

Integrability of Dirac equations in static spherical space-times

Luca Fabbri, Roberto Cianci, Stefano Vignolo

arxiv:2304.09291 v2 · 2023-04-05 · gr-qc · 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{HRFGQZWAYZHEYQ577HZVHNNXZ4}

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	2026-07-05T08:17:56.765667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4a6866c0c64e4c43bff9f353b5b7cf29f2129034d8913bd90c471554b87b54

Aliases

arxiv: 2304.09291 · arxiv_version: 2304.09291v2 · doi: 10.48550/arxiv.2304.09291 · pith_short_12: HRFGQZWAYZHE · pith_short_16: HRFGQZWAYZHEYQ57 · pith_short_8: HRFGQZWA

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/HRFGQZWAYZHEYQ577HZVHNNXZ4 \
  | 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: 3c4a6866c0c64e4c43bff9f353b5b7cf29f2129034d8913bd90c471554b87b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2720a6cf9c50facbad436d50abf6f234eaa4df239d342ea19511e61f3b65900",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-04-05T10:58:25Z",
    "title_canon_sha256": "0eecc4f273b1f7869dcdf58719d95b44d44042efee0137dbda802f54cce1ab50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.09291",
    "kind": "arxiv",
    "version": 2
  }
}