Pith Number

pith:NERPTF3W

pith:2014:NERPTF3W5VE72P43AO4LY3ANL4

not attested not anchored not stored refs pending

Weak Gravitational lensing from regular Bardeen black holes

Hassan Niad, Hossein Ghaffarnejad

arxiv:1411.7247 v4 · 2014-11-24 · gr-qc · astro-ph.GA · 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{NERPTF3W5VE72P43AO4LY3ANL4}

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	2026-05-18T01:33:58.584766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6922f99776ed49fd3f9b03b8bc6c0d5f04a28d6429b05b0931c37a274b760c51

Aliases

arxiv: 1411.7247 · arxiv_version: 1411.7247v4 · doi: 10.48550/arxiv.1411.7247 · pith_short_12: NERPTF3W5VE7 · pith_short_16: NERPTF3W5VE72P43 · pith_short_8: NERPTF3W

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/NERPTF3W5VE72P43AO4LY3ANL4 \
  | 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: 6922f99776ed49fd3f9b03b8bc6c0d5f04a28d6429b05b0931c37a274b760c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a22bbef77c663bbaeedfe6bbf72e546b8d4f03119b89ff06a5f7a3a6e0c99fc0",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-24T18:43:12Z",
    "title_canon_sha256": "6e814ac65d8bacf025ad1c1a9efabce1b55ebb7fafe5e1138c60b833dd334871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7247",
    "kind": "arxiv",
    "version": 4
  }
}