Pith Number

pith:GPRPHBKT

pith:2025:GPRPHBKTFQL7RW2X2JY5D2P675

not attested not anchored not stored refs pending

Testing Einstein Maxwell Power-Yang-Mills Hair via Black Hole Photon Rings

Meirong Tang, Zhaoyi Xu, Zuting Luo

arxiv:2501.06690 v1 · 2025-01-12 · 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{GPRPHBKTFQL7RW2X2JY5D2P675}

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	2026-07-05T10:00:08.647668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e2f385532c17f8db57d271d1e9feff570884757335f555a1a18592ba953dd2

Aliases

arxiv: 2501.06690 · arxiv_version: 2501.06690v1 · doi: 10.48550/arxiv.2501.06690 · pith_short_12: GPRPHBKTFQL7 · pith_short_16: GPRPHBKTFQL7RW2X · pith_short_8: GPRPHBKT

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/GPRPHBKTFQL7RW2X2JY5D2P675 \
  | 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: 33e2f385532c17f8db57d271d1e9feff570884757335f555a1a18592ba953dd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf845232778785ebf827a3f3df10786610111f64e5435de11411a5a2e64647a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-01-12T02:45:42Z",
    "title_canon_sha256": "31dfe42f90167b6203ca617a8d5f037d2f8c03d4a32c5eba24f10a36cddea3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06690",
    "kind": "arxiv",
    "version": 1
  }
}