Pith Number

pith:2TA4TCVF

pith:2022:2TA4TCVFXYMVNUTH7MCFO5YWBW

not attested not anchored not stored refs pending

Extremal black holes have external light rings

Shahar Hod

arxiv:2211.15983 v1 · 2022-11-29 · 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{2TA4TCVFXYMVNUTH7MCFO5YWBW}

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

A Compact theorem on the compactness of ultra-compact objects with monotonically decreasing matter fields

Receipt and verification

First computed	2026-07-05T05:37:46.999145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c1c98aa5be1956d267fb045777160dbe5d7eef6f4ee10cb870bf8bd9335f8d

Aliases

arxiv: 2211.15983 · arxiv_version: 2211.15983v1 · doi: 10.48550/arxiv.2211.15983 · pith_short_12: 2TA4TCVFXYMV · pith_short_16: 2TA4TCVFXYMVNUTH · pith_short_8: 2TA4TCVF

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/2TA4TCVFXYMVNUTH7MCFO5YWBW \
  | 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: d4c1c98aa5be1956d267fb045777160dbe5d7eef6f4ee10cb870bf8bd9335f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d52ae81935d9bfb56b35d58264a8cd9709a9fe0fbde0e84119288fe530a164",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-29T07:30:56Z",
    "title_canon_sha256": "22e96ee4506e2b6a7d98397c0c4bc14bef62731e84e527fb96350c055701c85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15983",
    "kind": "arxiv",
    "version": 1
  }
}