Pith Number

pith:DUEM2SG3

pith:2024:DUEM2SG3PTZN6ALOP7A3ZJDAVQ

not attested not anchored not stored refs pending

Testing Strong Gravitational Lensing Effects of Supermassive Black Holes with String-Inspired Metric: Observational Signatures and EHT Constraints

Amnish Vachher, Rahul Kumar Walia, Shafqat Ul Islam, Sushant G. Ghosh

arxiv:2405.06501 v2 · 2024-05-10 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUEM2SG3PTZN6ALOP7A3ZJDAVQ}

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	2026-07-05T11:24:04.060688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d08cd48db7cf2df016e7fc1bca460ac216aa61f9b717d177fe337d4440a749a

Aliases

arxiv: 2405.06501 · arxiv_version: 2405.06501v2 · doi: 10.48550/arxiv.2405.06501 · pith_short_12: DUEM2SG3PTZN · pith_short_16: DUEM2SG3PTZN6ALO · pith_short_8: DUEM2SG3

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/DUEM2SG3PTZN6ALOP7A3ZJDAVQ \
  | 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: 1d08cd48db7cf2df016e7fc1bca460ac216aa61f9b717d177fe337d4440a749a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b4737fe07700f0561f56f20dca696d57cc4130eeba24427beb73b301561e75",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-05-10T14:26:46Z",
    "title_canon_sha256": "857de1c9472b4e2dd88503c23288e9275a277422286e1afe923fd6cdd58d0f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.06501",
    "kind": "arxiv",
    "version": 2
  }
}