Pith Number

pith:6KVSBKA2

pith:2010:6KVSBKA27Q3EWEAVGZKSJECJYF

not attested not anchored not stored refs pending

Gravitational Repulsion within a Black-Hole using the Stueckelberg Quantum Formalism

D. M. Ludwin, L. P. Horwitz

arxiv:1008.3353 v3 · 2010-08-19 · 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{6KVSBKA27Q3EWEAVGZKSJECJYF}

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	2026-05-18T02:05:46.577091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ab20a81afc364b10153655249049c17be13708ff5ff2abe525478627cf6ef9

Aliases

arxiv: 1008.3353 · arxiv_version: 1008.3353v3 · doi: 10.48550/arxiv.1008.3353 · pith_short_12: 6KVSBKA27Q3E · pith_short_16: 6KVSBKA27Q3EWEAV · pith_short_8: 6KVSBKA2

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/6KVSBKA27Q3EWEAVGZKSJECJYF \
  | 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: f2ab20a81afc364b10153655249049c17be13708ff5ff2abe525478627cf6ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e72e7da8bff1dd395953e3b906b76cbbd57ba5cc56d6c5b4f37aa1eafcf7cf7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-19T17:08:15Z",
    "title_canon_sha256": "863a586cc985cf220356ba8f3b50728b527b36a8967e43d6374deac64e3b1264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3353",
    "kind": "arxiv",
    "version": 3
  }
}