Pith Number

pith:VR7JZVM5

pith:2019:VR7JZVM5XUQ3PNZRJAEUYI2PBU

not attested not anchored not stored refs pending

Spinor fields in spherical symmetry. Einstein-Dirac and other space-times

Bijan Saha, K.A. Bronnikov, Yu.P. Rybakov

arxiv:1909.04789 v1 · 2019-09-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR7JZVM5XUQ3PNZRJAEUYI2PBU}

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.

Cited by

1 paper in Pith

Multishell Dirac fermions in the Einstein-Dirac system

Receipt and verification

First computed	2026-07-05T00:45:43.820519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7e9cd59dbd21b7b73148094c234f0d07d44304bb1522089eb4852dee92d4de

Aliases

arxiv: 1909.04789 · arxiv_version: 1909.04789v1 · doi: 10.48550/arxiv.1909.04789 · pith_short_12: VR7JZVM5XUQ3 · pith_short_16: VR7JZVM5XUQ3PNZR · pith_short_8: VR7JZVM5

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/VR7JZVM5XUQ3PNZRJAEUYI2PBU \
  | 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: ac7e9cd59dbd21b7b73148094c234f0d07d44304bb1522089eb4852dee92d4de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a1a24d044fb7d480226da155221e641d5886c005400088f19d41ac4335b481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-10T23:27:22Z",
    "title_canon_sha256": "3d85945819ddbd10af499d352138b72c1fbf75a5fddf3c968908f58aef45600d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04789",
    "kind": "arxiv",
    "version": 1
  }
}