Pith Number

pith:E4HPRL4A

pith:2017:E4HPRL4A3L33JN7WDIFYSA6OEV

not attested not anchored not stored refs pending

Strong gravitational lensing for the charged black holes with scalar hair

Jiliang Jing, Ruanjing Zhang

arxiv:1703.08758 v2 · 2017-03-26 · 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{E4HPRL4A3L33JN7WDIFYSA6OEV}

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

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Receipt and verification

First computed	2026-05-18T00:15:30.819166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270ef8af80daf7b4b7f61a0b8903ce254f7222c74a18ea4f3d151a484f0c46e9

Aliases

arxiv: 1703.08758 · arxiv_version: 1703.08758v2 · doi: 10.48550/arxiv.1703.08758 · pith_short_12: E4HPRL4A3L33 · pith_short_16: E4HPRL4A3L33JN7W · pith_short_8: E4HPRL4A

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/E4HPRL4A3L33JN7WDIFYSA6OEV \
  | 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: 270ef8af80daf7b4b7f61a0b8903ce254f7222c74a18ea4f3d151a484f0c46e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcb32ddca898301bbf2aa4236227bf00d327595681bd5960853abc793454a0d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-03-26T03:00:08Z",
    "title_canon_sha256": "cdd2593b5f28a84d62700c252cf50d64c779d524c0fbc531561b8518fd4f743e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08758",
    "kind": "arxiv",
    "version": 2
  }
}