Pith Number

pith:4UDGIEG3

pith:2011:4UDGIEG3DWBDHDEW5QQ7UX4RTN

not attested not anchored not stored refs pending

A Modified Method for Deriving Self-Conjugate Dirac Hamiltonians in Arbitrary Gravitational Fields and Its Application to Centrally and Axially Symmetric Gravitational Fields

M.V. Gorbatenko, V.P. Neznamov

arxiv:1107.0844 v7 · 2011-07-05 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UDGIEG3DWBDHDEW5QQ7UX4RTN}

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	2026-05-18T02:44:40.605170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5066410db1d82338c96ec21fa5f919b51134f934590afff735f9e1c63acc416

Aliases

arxiv: 1107.0844 · arxiv_version: 1107.0844v7 · doi: 10.48550/arxiv.1107.0844 · pith_short_12: 4UDGIEG3DWBD · pith_short_16: 4UDGIEG3DWBDHDEW · pith_short_8: 4UDGIEG3

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/4UDGIEG3DWBDHDEW5QQ7UX4RTN \
  | 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: e5066410db1d82338c96ec21fa5f919b51134f934590afff735f9e1c63acc416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cbe2d2f7e79619948f394ba7b3ef63fdcef4f55492c3e77366920d6597695d5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-05T10:58:48Z",
    "title_canon_sha256": "bf7916c1dfaa1fa9423d0dcdf15590299b7e546115ecbfeb8c0a8c51c1847368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0844",
    "kind": "arxiv",
    "version": 7
  }
}