Pith Number

pith:LB33KHTQ

pith:2013:LB33KHTQBUL5445NKBH7F7LO5W

not attested not anchored not stored refs pending

Stationary Bound States of Dirac Particles in the Schwarzschild Gravitational Field

E.Yu. Popov, I.I. Safronov, M.A. Vronsky, M.V. Gorbatenko, N.S. Kolesnikov, V.P. Neznamov

arxiv:1301.7595 v4 · 2013-01-31 · 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{LB33KHTQBUL5445NKBH7F7LO5W}

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	2026-05-18T03:18:51.483530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5877b51e700d17de73ad504ff2fd6eedb707f9fe6080b3518a2740d595b34480

Aliases

arxiv: 1301.7595 · arxiv_version: 1301.7595v4 · doi: 10.48550/arxiv.1301.7595 · pith_short_12: LB33KHTQBUL5 · pith_short_16: LB33KHTQBUL5445N · pith_short_8: LB33KHTQ

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/LB33KHTQBUL5445NKBH7F7LO5W \
  | 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: 5877b51e700d17de73ad504ff2fd6eedb707f9fe6080b3518a2740d595b34480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ff507440736fc9e2f8feafda7ea847a0826d563baff7fa2a77503179b0c552",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-01-31T12:40:58Z",
    "title_canon_sha256": "56bab11fba1315e2e4a7f29203723aaad38a9b3954e06e87e4956dd056fa548d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7595",
    "kind": "arxiv",
    "version": 4
  }
}