Pith Number

pith:4J7VNPLI

pith:2020:4J7VNPLITKCJQZBN4LMK37OC4S

not attested not anchored not stored refs pending

Deflection Angle and Shadow Behaviors of Quintessential Black Holes in arbitrary Dimensions

A. Belhaj, A. El Balali, H. El Moumni, M. Benali, S-E. Ennadifi

arxiv:2006.01078 v3 · 2020-06-01 · 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{4J7VNPLITKCJQZBN4LMK37OC4S}

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

4 papers in Pith

Thermodynamical phase structures and particle emission rate of charged AdS black hole surrounded by string cloud and quintessence via shadow formalism

Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning

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

Shadows of quintessence black holes: spherical accretion, photon trajectories, and geodesic observers

Receipt and verification

First computed	2026-07-05T01:46:55.162096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27f56bd689a8498642de2d8adfdc2e481c74892d9c1f63102579ffcc32bc277

Aliases

arxiv: 2006.01078 · arxiv_version: 2006.01078v3 · doi: 10.48550/arxiv.2006.01078 · pith_short_12: 4J7VNPLITKCJ · pith_short_16: 4J7VNPLITKCJQZBN · pith_short_8: 4J7VNPLI

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/4J7VNPLITKCJQZBN4LMK37OC4S \
  | 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: e27f56bd689a8498642de2d8adfdc2e481c74892d9c1f63102579ffcc32bc277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a080ee95f15205ce195f57f6e2634c88e4fdd03a787e3dd1063563db86b6496",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-06-01T17:02:00Z",
    "title_canon_sha256": "c8f72936730f8194b3885514d7e96520bcc58b72e9ae878ce6dfb013cde5b59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.01078",
    "kind": "arxiv",
    "version": 3
  }
}