Pith Number

pith:XNLDLURL

pith:2023:XNLDLURLSDGY25CHUCAYEP5PW6

not attested not anchored not stored refs pending

Weak gravitational lensing and shadow cast by rotating black holes in axionic Chern-Simons theory

Dhruba Jyoti Gogoi, Nashiba Parbin, Umananda Dev Goswami

arxiv:2305.09157 v2 · 2023-05-16 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNLDLURLSDGY25CHUCAYEP5PW6}

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	2026-07-05T06:20:43.824442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb5635d22b90cd8d7447a081823fafb7af405b45b783e49011022e9c4d1ebc53

Aliases

arxiv: 2305.09157 · arxiv_version: 2305.09157v2 · doi: 10.48550/arxiv.2305.09157 · pith_short_12: XNLDLURLSDGY · pith_short_16: XNLDLURLSDGY25CH · pith_short_8: XNLDLURL

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/XNLDLURLSDGY25CHUCAYEP5PW6 \
  | 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: bb5635d22b90cd8d7447a081823fafb7af405b45b783e49011022e9c4d1ebc53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ade77cf9936fca50152880fb36d22d96c8d210036d7163e2fb0350721755d26",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-05-16T04:17:51Z",
    "title_canon_sha256": "c1707dbf2adf8d21854c3b050902210db00e58790d3642f8a5fe6b2c252e8e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.09157",
    "kind": "arxiv",
    "version": 2
  }
}