Pith Number

pith:XX6TXYAI

pith:2026:XX6TXYAIFHZ6IALZ24WQK673J2

not attested not anchored not stored refs pending

Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System

Shengrong Wu, Xinliang An

arxiv:2607.07134 v1 · 2026-07-08 · gr-qc · math-ph · math.AP · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XX6TXYAIFHZ6IALZ24WQK673J2}

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	2026-07-09T01:20:15.464905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfd3be00829f3e40179d72d057bfb4e820460ba6cc609f122a0fab976f705e6

Aliases

arxiv: 2607.07134 · arxiv_version: 2607.07134v1 · doi: 10.48550/arxiv.2607.07134 · pith_short_12: XX6TXYAIFHZ6 · pith_short_16: XX6TXYAIFHZ6IALZ · pith_short_8: XX6TXYAI

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/XX6TXYAIFHZ6IALZ24WQK673J2 \
  | 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: bdfd3be00829f3e40179d72d057bfb4e820460ba6cc609f122a0fab976f705e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5112f6eb03fb057fcbfdca52e4ad54ba90b8bade0c9241d8aecdd55deee7f011",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-08T08:29:43Z",
    "title_canon_sha256": "5cccd7b008425a94d28854614668b5666a8c29400a53b7f87a3981d9196cd29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07134",
    "kind": "arxiv",
    "version": 1
  }
}