Pith Number

pith:R3XINHYP

pith:2023:R3XINHYPQHOXAJ2DW33CEFS2TZ

not attested not anchored not stored refs pending

A review on analytical studies in Gravitational Lensing

Abhishek Chowdhuri, Arpan Bhattacharyya, Saptaswa Ghosh

arxiv:2303.02069 v3 · 2023-03-03 · gr-qc · astro-ph.CO · astro-ph.HE · 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{R3XINHYPQHOXAJ2DW33CEFS2TZ}

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	2026-07-05T06:14:41.446741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eee869f0f81dd702743b6f622165a9e5c9fe202a7bde7fbd5fc17ef089074b3

Aliases

arxiv: 2303.02069 · arxiv_version: 2303.02069v3 · doi: 10.48550/arxiv.2303.02069 · pith_short_12: R3XINHYPQHOX · pith_short_16: R3XINHYPQHOXAJ2D · pith_short_8: R3XINHYP

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/R3XINHYPQHOXAJ2DW33CEFS2TZ \
  | 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: 8eee869f0f81dd702743b6f622165a9e5c9fe202a7bde7fbd5fc17ef089074b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d1a0e68f18ebf87e2b27b32047033a920f4cfb5576f76977504a918bef55d4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-03T16:37:19Z",
    "title_canon_sha256": "2bd432c46456873929638185ec85dee9fc6bd1a84b163aea513ced0b319a0481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.02069",
    "kind": "arxiv",
    "version": 3
  }
}