Pith Number

pith:JSSCTL6M

pith:2019:JSSCTL6MDBW5TRAWL33QQD5535

not attested not anchored not stored refs pending

First analytical calculation of black hole shadow in McVittie metric

Gennady S. Bisnovatyi-Kogan, Oleg Yu. Tsupko

arxiv:1912.07495 v2 · 2019-12-16 · 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{JSSCTL6MDBW5TRAWL33QQD5535}

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

2 papers in Pith

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Shaving off soft hairs and the black hole image memory effect

Receipt and verification

First computed	2026-07-05T01:24:29.184616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca429afcc186dd9c4165ef7080fbddf54ef6685833e50709819efd0738417a4

Aliases

arxiv: 1912.07495 · arxiv_version: 1912.07495v2 · doi: 10.48550/arxiv.1912.07495 · pith_short_12: JSSCTL6MDBW5 · pith_short_16: JSSCTL6MDBW5TRAW · pith_short_8: JSSCTL6M

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/JSSCTL6MDBW5TRAWL33QQD5535 \
  | 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: 4ca429afcc186dd9c4165ef7080fbddf54ef6685833e50709819efd0738417a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a0f84f35689b66cd36a4a335bf38549fca0f4403426e31d78c7809b36fdea7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-16T16:47:55Z",
    "title_canon_sha256": "e2bd9140f265b5a7f3f367d73ae294143abed5bce9aa121abb17c86991ef65ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07495",
    "kind": "arxiv",
    "version": 2
  }
}