Pith Number

pith:DAI4HPBT

pith:2023:DAI4HPBTLHKWZ2KHMAHPX4MVFB

not attested not anchored not stored refs pending

Observational Signatures of Modified Bardeen Black Hole: Shadow and Strong Gravitational Lensing

Amna Ali, Niyaz Uddin Molla, Ujjal Debnath

arxiv:2307.11798 v2 · 2023-07-21 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAI4HPBTLHKWZ2KHMAHPX4MVFB}

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	2026-07-05T07:14:15.625959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1811c3bc3359d56ce947600efbf195286b1780fcd53ce63135d48c502dd9d6ea

Aliases

arxiv: 2307.11798 · arxiv_version: 2307.11798v2 · doi: 10.48550/arxiv.2307.11798 · pith_short_12: DAI4HPBTLHKW · pith_short_16: DAI4HPBTLHKWZ2KH · pith_short_8: DAI4HPBT

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/DAI4HPBTLHKWZ2KHMAHPX4MVFB \
  | 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: 1811c3bc3359d56ce947600efbf195286b1780fcd53ce63135d48c502dd9d6ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d859db253bbce0803ef3da5bea087d38a5cc9208da2435f5e5ca67efb9823206",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-07-21T09:46:23Z",
    "title_canon_sha256": "b4978b7bc5878f6b17a382d4b90ea944cb534c28311ffeb25b9bc47928c88112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.11798",
    "kind": "arxiv",
    "version": 2
  }
}