Pith Number

pith:ZWFW4BNR

pith:2026:ZWFW4BNRCRWSRKRLZTFUMEFVH5

not attested not anchored not stored refs pending

Wave decay and horizon instability on strongly charged extremal Kerr-Newman black holes

Allen Juntao Fang, Elena Giorgi, Jingbo Wan

arxiv:2606.29956 v1 · 2026-06-29 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWFW4BNRCRWSRKRLZTFUMEFVH5}

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	2026-06-30T02:17:42.652483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8b6e05b1146d28aa2bcccb4610b53f41c369d56a23d12af2507d964b9ab034

Aliases

arxiv: 2606.29956 · arxiv_version: 2606.29956v1 · doi: 10.48550/arxiv.2606.29956 · pith_short_12: ZWFW4BNRCRWS · pith_short_16: ZWFW4BNRCRWSRKRL · pith_short_8: ZWFW4BNR

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/ZWFW4BNRCRWSRKRLZTFUMEFVH5 \
  | 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: cd8b6e05b1146d28aa2bcccb4610b53f41c369d56a23d12af2507d964b9ab034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8c8c62f4f7b220b589da37c5a28bbf930ca0e4644cab0cd72929ed2a075a29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-29T08:34:24Z",
    "title_canon_sha256": "d53466944f8b8488465652f73c6a157a93edf7a453b93652b40c9e18c2de09ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29956",
    "kind": "arxiv",
    "version": 1
  }
}