Pith Number

pith:MTV2QWDL

pith:2026:MTV2QWDLUOKHZ66GT5K6RAG6IG

not attested not anchored not stored refs pending

3D Gravity Does Not Average Like Narain at Genus One: Rigidity of Virasoro Topological Boundaries

Xingyang Yu

arxiv:2608.03459 v1 · 2026-08-04 · hep-th · gr-qc · math-ph · 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{MTV2QWDLUOKHZ66GT5K6RAG6IG}

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	2026-08-05T01:35:53.750768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64eba8586ba3947cfbc69f55e880de41aaf8308e2ca9328c4996f77396a45755

Aliases

arxiv: 2608.03459 · arxiv_version: 2608.03459v1 · doi: 10.48550/arxiv.2608.03459 · pith_short_12: MTV2QWDLUOKH · pith_short_16: MTV2QWDLUOKHZ66G · pith_short_8: MTV2QWDL

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/MTV2QWDLUOKHZ66GT5K6RAG6IG \
  | 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: 64eba8586ba3947cfbc69f55e880de41aaf8308e2ca9328c4996f77396a45755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a71ec16cda47cb1fd721ac4cded47772f4d7a18fb366d37a7e8ef4c7284b71",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-04T10:54:40Z",
    "title_canon_sha256": "0a5e28daef8ea6dfeb54a568380212b8f08f1e7936be62a19a0f90b78445dc8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03459",
    "kind": "arxiv",
    "version": 1
  }
}