Pith Number

pith:R5OS6676

pith:2024:R5OS6676477AFHH6FCVACQZUAC

not attested not anchored not stored refs pending

Deflection of light by wormholes and its shadow due to dark matter within modified symmetric teleparallel gravity formalism

G. Mustafa, P.K. Sahoo, Zinnat Hassan

arxiv:2405.11576 v4 · 2024-05-19 · 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{R5OS6676477AFHH6FCVACQZUAC}

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.

Receipt and verification

First computed	2026-07-05T09:25:43.130649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5d2f7bfee7fe029cfe28aa0143340092eb89c7d2ac19e882148dbb9b0d6d0d

Aliases

arxiv: 2405.11576 · arxiv_version: 2405.11576v4 · doi: 10.48550/arxiv.2405.11576 · pith_short_12: R5OS6676477A · pith_short_16: R5OS6676477AFHH6 · pith_short_8: R5OS6676

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/R5OS6676477AFHH6FCVACQZUAC \
  | 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: 8f5d2f7bfee7fe029cfe28aa0143340092eb89c7d2ac19e882148dbb9b0d6d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf92181912690610701094e4bed89afc51797c5cd99cd4c08f73331f4e3483e6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-05-19T14:57:01Z",
    "title_canon_sha256": "a5a80d80f1bfc9c077ed8a21cb1326a83d004713beb236ff8aa79542d7227aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.11576",
    "kind": "arxiv",
    "version": 4
  }
}