Pith Number

pith:AXZFLRZC

pith:2019:AXZFLRZCX4LYUH34TVRKRFUYMU

not attested not anchored not stored refs pending

On the Size of a Black Hole: The Schwarzschild is the Biggest

H. Lu, Hong-Da Lyu

arxiv:1911.02019 v1 · 2019-11-05 · gr-qc · 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{AXZFLRZCX4LYUH34TVRKRFUYMU}

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

Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field

Receipt and verification

First computed	2026-07-05T00:45:13.366661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f255c722bf178a1f7c9d62a896986502bee3e828671db1198f64b310c27da0

Aliases

arxiv: 1911.02019 · arxiv_version: 1911.02019v1 · doi: 10.48550/arxiv.1911.02019 · pith_short_12: AXZFLRZCX4LY · pith_short_16: AXZFLRZCX4LYUH34 · pith_short_8: AXZFLRZC

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/AXZFLRZCX4LYUH34TVRKRFUYMU \
  | 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: 05f255c722bf178a1f7c9d62a896986502bee3e828671db1198f64b310c27da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "399ec0ce3827596097eefdb3cbc7a6290187c0420bc315dd8a72e88cb454341d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-11-05T19:00:01Z",
    "title_canon_sha256": "230a0066eb3148f40bd673b4556b90de13b0d1cb21bcbf91a97d59c69d75285d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02019",
    "kind": "arxiv",
    "version": 1
  }
}