Pith Number

pith:UBWYEIJG

pith:2019:UBWYEIJG3A5TDJ2OSDOG7FTVMO

not attested not anchored not stored refs pending

Analytical approach to strong gravitational lensing from ultracompact objects

Pritam Banerjee, Rajibul Shaikh, Suvankar Paul, Tapobrata Sarkar

arxiv:1903.08211 v2 · 2019-03-19 · 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{UBWYEIJG3A5TDJ2OSDOG7FTVMO}

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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

Strong-deflection expansion of the deflection angle near a degenerate photon sphere

Receipt and verification

First computed	2026-05-17T23:45:51.832040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06d822126d83b31a74e90dc6f96756387eebb607f70d94223f36b72fc338dd4

Aliases

arxiv: 1903.08211 · arxiv_version: 1903.08211v2 · doi: 10.48550/arxiv.1903.08211 · pith_short_12: UBWYEIJG3A5T · pith_short_16: UBWYEIJG3A5TDJ2O · pith_short_8: UBWYEIJG

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/UBWYEIJG3A5TDJ2OSDOG7FTVMO \
  | 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: a06d822126d83b31a74e90dc6f96756387eebb607f70d94223f36b72fc338dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36384abbe2c1d4dc25403e1e56be0effdba79df7863bb567b160bb8b16e66f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-03-19T18:45:06Z",
    "title_canon_sha256": "32eda9dbce9a040639f99c88ec910c3f52d86728a3b2bf22ac292816805db31f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08211",
    "kind": "arxiv",
    "version": 2
  }
}