Pith Number

pith:UWEDRBKP

pith:2026:UWEDRBKP7IN4HRUNZODH64SKON

not attested not anchored not stored refs pending

Bounds on the radius of black hole shadows in n-dimensional Einstein gravity

Jiaqi Fu, Yong Song

arxiv:2606.27795 v1 · 2026-06-26 · 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{UWEDRBKP7IN4HRUNZODH64SKON}

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.

Receipt and verification

First computed	2026-06-29T01:14:48.729851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a58838854ffa1bc3c68dcb867f724a736afc85cc764ebb818309d3d00622ceca

Aliases

arxiv: 2606.27795 · arxiv_version: 2606.27795v1 · doi: 10.48550/arxiv.2606.27795 · pith_short_12: UWEDRBKP7IN4 · pith_short_16: UWEDRBKP7IN4HRUN · pith_short_8: UWEDRBKP

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/UWEDRBKP7IN4HRUNZODH64SKON \
  | 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: a58838854ffa1bc3c68dcb867f724a736afc85cc764ebb818309d3d00622ceca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c72a907a39f1618061129fb83a46d2a29d7915cecf50afdf67a0a14c8c6dfa4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-26T07:27:57Z",
    "title_canon_sha256": "983104cc0af228c3479cc1f4a959079e8a967f444b756570d395677f9555ceb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27795",
    "kind": "arxiv",
    "version": 1
  }
}