Pith Number

pith:OGUKBF5S

pith:2026:OGUKBF5S5KEHASIZ75C7JOLQW5

not attested not anchored not stored refs pending

Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results

Weihao Zheng

arxiv:2605.16235 v1 · 2026-05-15 · gr-qc · math-ph · math.AP · 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{OGUKBF5S5KEHASIZ75C7JOLQW5}

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	2026-05-20T00:01:59.333500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71a8a097b2ea88704919ff45f4b970b740efb53ab4b7aa27e524109917176e36

Aliases

arxiv: 2605.16235 · arxiv_version: 2605.16235v1 · doi: 10.48550/arxiv.2605.16235 · pith_short_12: OGUKBF5S5KEH · pith_short_16: OGUKBF5S5KEHASIZ · pith_short_8: OGUKBF5S

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/OGUKBF5S5KEHASIZ75C7JOLQW5 \
  | 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: 71a8a097b2ea88704919ff45f4b970b740efb53ab4b7aa27e524109917176e36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ebda29f99c141787138c635118f34c7f69ecdc075b70c61fde6e2f11a63d83",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-15T17:43:56Z",
    "title_canon_sha256": "a0f65212f0adf9dbc2ad18fff04300a4b346fd4b18af4474a430aece561bc065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16235",
    "kind": "arxiv",
    "version": 1
  }
}