Pith Number

pith:QBZJ5XDC

pith:2020:QBZJ5XDCVEWMTINYZLXH646UNP

not attested not anchored not stored refs pending

On the Observable Shape of Black Hole Photon Rings

Alexandru Lupsasca, Samuel E. Gralla

arxiv:2007.10336 v1 · 2020-07-20 · gr-qc · 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{QBZJ5XDCVEWMTINYZLXH646UNP}

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

3 papers in Pith

Light Propagation Prescriptions for Black Hole Movies

Optical Appearance of the Kerr-Bertotti-Robinson Black Hole with a Magnetically Driven Synchrotron Emissivity Model

A note on methods for computing the critical curve of Kerr-like black holes

Receipt and verification

First computed	2026-07-05T01:57:52.796784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80729edc62a92cc9a1b8caee7f73d46bfef00a223c98b35d5a38ddd24359de54

Aliases

arxiv: 2007.10336 · arxiv_version: 2007.10336v1 · doi: 10.48550/arxiv.2007.10336 · pith_short_12: QBZJ5XDCVEWM · pith_short_16: QBZJ5XDCVEWMTINY · pith_short_8: QBZJ5XDC

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/QBZJ5XDCVEWMTINYZLXH646UNP \
  | 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: 80729edc62a92cc9a1b8caee7f73d46bfef00a223c98b35d5a38ddd24359de54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30426df60f85e9b93b51d98f29147661527471d6501c8c6fcf69e7fd2f1cc108",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-20T18:00:00Z",
    "title_canon_sha256": "2c765c71742b3204d2ae69e36aa71b3264f352a85f365e5c8c717d2d764482a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10336",
    "kind": "arxiv",
    "version": 1
  }
}