Pith Number

pith:XNCCL3V4

pith:2011:XNCCL3V4TYMLGY3MCBYIONV3CS

not attested not anchored not stored refs pending

Strong field limit analysis of gravitational lensing in Kerr-Taub-NUT spacetime

Chun-E Fu, Ke Yang, Shao-Wen Wei, Yu-Xiao Liu

arxiv:1104.0776 v4 · 2011-04-05 · hep-th · 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{XNCCL3V4TYMLGY3MCBYIONV3CS}

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	2026-05-18T02:22:11.027483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4425eebc9e18b3636c10708736bb149be08dba0c43812596966a319ec8fc48

Aliases

arxiv: 1104.0776 · arxiv_version: 1104.0776v4 · doi: 10.48550/arxiv.1104.0776 · pith_short_12: XNCCL3V4TYML · pith_short_16: XNCCL3V4TYMLGY3M · pith_short_8: XNCCL3V4

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/XNCCL3V4TYMLGY3MCBYIONV3CS \
  | 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: bb4425eebc9e18b3636c10708736bb149be08dba0c43812596966a319ec8fc48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e43512a8157ae4661026ea7a21782d2367eada79538acca5037acdb6d2db2fb5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-05T08:58:33Z",
    "title_canon_sha256": "b8e577d42fee64ff17c08029e0fc3f7028efa1455e63860e5fd80634e5e15c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0776",
    "kind": "arxiv",
    "version": 4
  }
}