Pith Number

pith:FMRDGDL5

pith:2026:FMRDGDL5VEX3EXOFQ3WBOAUU67

not attested not anchored not stored refs pending

Quantum fate of the Choptuik naked singularity

Chih-Hung Wu

arxiv:2606.17135 v1 · 2026-06-15 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMRDGDL5VEX3EXOFQ3WBOAUU67}

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	2026-06-19T16:11:38.355680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b22330d7da92fb25dc586ec170294f7dd9e44705236cbf30ab8cf347ee4e866

Aliases

arxiv: 2606.17135 · arxiv_version: 2606.17135v1 · doi: 10.48550/arxiv.2606.17135 · pith_short_12: FMRDGDL5VEX3 · pith_short_16: FMRDGDL5VEX3EXOF · pith_short_8: FMRDGDL5

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/FMRDGDL5VEX3EXOFQ3WBOAUU67 \
  | 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: 2b22330d7da92fb25dc586ec170294f7dd9e44705236cbf30ab8cf347ee4e866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef73dfa52130899c80dcd13f98cd1dd01561c40754dd2e62c805fa4cd4cf9ed",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-15T18:00:01Z",
    "title_canon_sha256": "a85b96665b962bd86ab9be32c090de5b226f4aa6b864b0f34c838ed9fa423967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17135",
    "kind": "arxiv",
    "version": 1
  }
}