Pith Number

pith:M5RAB4WV

pith:2014:M5RAB4WV55YIZRDHA3TW4CWGCZ

not attested not anchored not stored refs pending

Black hole solution and strong gravitational lensing in Eddington-inspired Born-Infeld gravity

Ke Yang, Shao-Wen Wei, Yu-Xiao Liu

arxiv:1405.2178 v3 · 2014-05-09 · 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{M5RAB4WV55YIZRDHA3TW4CWGCZ}

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.

Cited by

1 paper in Pith

Boundary-only weak deflection angles from isothermal optical geometry

Receipt and verification

First computed	2026-05-18T01:37:51.253438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676200f2d5ef708cc46706e76e0ac6164c9e47258c4dd09474b1022313271b7e

Aliases

arxiv: 1405.2178 · arxiv_version: 1405.2178v3 · doi: 10.48550/arxiv.1405.2178 · pith_short_12: M5RAB4WV55YI · pith_short_16: M5RAB4WV55YIZRDH · pith_short_8: M5RAB4WV

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/M5RAB4WV55YIZRDHA3TW4CWGCZ \
  | 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: 676200f2d5ef708cc46706e76e0ac6164c9e47258c4dd09474b1022313271b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ce0fa804a8fc694f16ea6bd64168fe057eadb993a06a429c768479bf3a334b9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-05-09T09:03:54Z",
    "title_canon_sha256": "88d2c548178e3654c7a4eb5432b1949fbdbd71df96fa93825f62f8dc027ebcba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2178",
    "kind": "arxiv",
    "version": 3
  }
}