Pith Number

pith:DX5VTY3E

pith:2023:DX5VTY3EDROONCA2UTCSQBQ5QX

not attested not anchored not stored refs pending

Shadows near supermassive black holes: from a theoretical concept to GR test

Alexander F. Zakharov

arxiv:2308.01301 v1 · 2023-08-02 · 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{DX5VTY3EDROONCA2UTCSQBQ5QX}

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.

Cited by

1 paper in Pith

Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength

Receipt and verification

First computed	2026-07-05T09:35:45.992595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dfb59e3641c5ce6881aa4c528061d85f7f8d80cdc9cf88bb95e693efb155a45

Aliases

arxiv: 2308.01301 · arxiv_version: 2308.01301v1 · doi: 10.48550/arxiv.2308.01301 · pith_short_12: DX5VTY3EDROO · pith_short_16: DX5VTY3EDROONCA2 · pith_short_8: DX5VTY3E

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/DX5VTY3EDROONCA2UTCSQBQ5QX \
  | 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: 1dfb59e3641c5ce6881aa4c528061d85f7f8d80cdc9cf88bb95e693efb155a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae63fcfd30909f65f771ebd3c9374bbbfb8fba73f01fb9c36ee41366aec6f0c",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-08-02T17:40:28Z",
    "title_canon_sha256": "88e5524b49b63441d7e6cdd12c3f7f819a32857d69c0d79765325e8c7a9f23e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01301",
    "kind": "arxiv",
    "version": 1
  }
}