Pith Number

pith:V2WYLACD

pith:2012:V2WYLACDND3COM2ULAAV7JJZ6G

not attested not anchored not stored refs pending

Strong Gravitational Lensing in a Charged Squashed Kaluza- Klein Black hole

A. Banijamali, H. Vaez, J. Sadeghi

arxiv:1205.0805 v1 · 2012-05-03 · 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{V2WYLACDND3COM2ULAAV7JJZ6G}

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	2026-05-18T01:57:38.292892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aead85804368f627335458015fa539f18d93dfb8ff565a60ccd43111835ad6c9

Aliases

arxiv: 1205.0805 · arxiv_version: 1205.0805v1 · doi: 10.48550/arxiv.1205.0805 · pith_short_12: V2WYLACDND3C · pith_short_16: V2WYLACDND3COM2U · pith_short_8: V2WYLACD

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/V2WYLACDND3COM2ULAAV7JJZ6G \
  | 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: aead85804368f627335458015fa539f18d93dfb8ff565a60ccd43111835ad6c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d16c18e8dfc8a372e8fde7cb5aebb8a6ccb4871958d71bc2f67c808abfba32",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-05-03T12:51:15Z",
    "title_canon_sha256": "a9264b1dc6b2cf336032b4e219fda5b06c9b3597d3c525961038857104f19ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0805",
    "kind": "arxiv",
    "version": 1
  }
}