Pith Number

pith:HUBPCCZF

pith:2003:HUBPCCZFIJWL4RARC4QTVCPEDV

not attested not anchored not stored refs pending

Gravitational lensing by a charged black hole of string theory

A. Bhadra

arxiv:gr-qc/0306016 v1 · 2003-06-04 · gr-qc · astro-ph · 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{HUBPCCZFIJWL4RARC4QTVCPEDV}

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

Deflection of Light due to Kerr Sen Black Hole in Heterotic String Theory using Material Medium Approach

Receipt and verification

First computed	2026-07-04T16:40:13.187430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d02f10b25426cbe441117213a89e41d443c5b39005b319fe6635418001553b0

Aliases

arxiv: gr-qc/0306016 · arxiv_version: gr-qc/0306016v1 · doi: 10.48550/arxiv.gr-qc/0306016 · pith_short_12: HUBPCCZFIJWL · pith_short_16: HUBPCCZFIJWL4RAR · pith_short_8: HUBPCCZF

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/HUBPCCZFIJWL4RARC4QTVCPEDV \
  | 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: 3d02f10b25426cbe441117213a89e41d443c5b39005b319fe6635418001553b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d80405511ef8547fde5c6a4a462585732cc3fa795694efbede562e1958e4ba",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-06-04T13:50:23Z",
    "title_canon_sha256": "51f6b42e8ef025db453db2dfbf1c93ebb664a9b48fbcafbaa1ea14b9053d2b87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0306016",
    "kind": "arxiv",
    "version": 1
  }
}