Pith Number

pith:PIFGPVXJ

pith:2013:PIFGPVXJQDF77DAZEDSDWMYGQW

not attested not anchored not stored refs pending

Strong gravitational lensing in a rotating Kaluza-Klein black hole with squashed horizons

Jiliang Jing, LiYong Ji, Songbai Chen

arxiv:1312.4128 v2 · 2013-12-15 · 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{PIFGPVXJQDF77DAZEDSDWMYGQW}

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	2026-05-18T02:55:13.105575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0a67d6e980cbff8c1920e43b3306858f81a3d4a58a22204a5faf6d5643a0e1

Aliases

arxiv: 1312.4128 · arxiv_version: 1312.4128v2 · doi: 10.48550/arxiv.1312.4128 · pith_short_12: PIFGPVXJQDF7 · pith_short_16: PIFGPVXJQDF77DAZ · pith_short_8: PIFGPVXJ

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/PIFGPVXJQDF77DAZEDSDWMYGQW \
  | 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: 7a0a67d6e980cbff8c1920e43b3306858f81a3d4a58a22204a5faf6d5643a0e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98771a5ef954d271e6cd4ad8548b7756610b09468a07671654b8250b7c36a56e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-15T09:50:39Z",
    "title_canon_sha256": "0b01083074fcf877032ec069840cf242d5c769c4b281666f9ac53c7208fcf4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4128",
    "kind": "arxiv",
    "version": 2
  }
}