Pith Number

pith:LBKY5VR7

pith:2022:LBKY5VR76UYC6ZLBK7ROOSA2L5

not attested not anchored not stored refs pending

Gravitational lensing and shadow of charged black holes in the low-energy limit of string theory

Feyzollah Younesizadeh, Mohammad M. Qaemmaqami, Younes Younesizadeh

arxiv:2206.05456 v1 · 2022-06-11 · 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{LBKY5VR76UYC6ZLBK7ROOSA2L5}

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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

The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

Receipt and verification

First computed	2026-07-05T04:30:59.564563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58558ed63ff5302f656157e2e7481a5f63e48d23220172c6688548f77ed4ac39

Aliases

arxiv: 2206.05456 · arxiv_version: 2206.05456v1 · doi: 10.48550/arxiv.2206.05456 · pith_short_12: LBKY5VR76UYC · pith_short_16: LBKY5VR76UYC6ZLB · pith_short_8: LBKY5VR7

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/LBKY5VR76UYC6ZLBK7ROOSA2L5 \
  | 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: 58558ed63ff5302f656157e2e7481a5f63e48d23220172c6688548f77ed4ac39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926071410df6b31726ab637fcafadd667a5ce1a636cde17bed522b81ce0512bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-06-11T08:03:05Z",
    "title_canon_sha256": "cb1a8de9acd51805826feee9613b494126a8bc4b1d5fc039ea86a296db44a77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05456",
    "kind": "arxiv",
    "version": 1
  }
}