Pith Number

pith:UW4TD2VX

pith:2026:UW4TD2VXQAFACI6UMUFBAUAPKA

not attested not anchored not stored refs pending

Imprints of Black Hole Shadows and Polarization Patterns of Various Thick Disks: Bumblebee gravity

Chen-Yu Yang, Muhammad Israr Aslam, Nazek Alessa, Xiao-Xiong Zeng

arxiv:2605.24369 v1 · 2026-05-23 · 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{UW4TD2VXQAFACI6UMUFBAUAPKA}

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	2026-05-26T01:03:02.247362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5b931eab7800a0123d4650a10500f50104c6b362ef584c77fe139182c0528f9

Aliases

arxiv: 2605.24369 · arxiv_version: 2605.24369v1 · doi: 10.48550/arxiv.2605.24369 · pith_short_12: UW4TD2VXQAFA · pith_short_16: UW4TD2VXQAFACI6U · pith_short_8: UW4TD2VX

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/UW4TD2VXQAFACI6UMUFBAUAPKA \
  | 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: a5b931eab7800a0123d4650a10500f50104c6b362ef584c77fe139182c0528f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d809c17e5b43491c6d3d4a4967c8aff9c82e951b4392c82cf65f0d85ce47979",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-23T03:13:12Z",
    "title_canon_sha256": "356079057a80e3ebe6be8e916774acf8bf59da0f056acbff55a6f7fe73689f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24369",
    "kind": "arxiv",
    "version": 1
  }
}