Pith Number

pith:FXLRZ6HL

pith:2024:FXLRZ6HLWGYBBSFGDTLBZ2GVIH

not attested not anchored not stored refs pending

The power series expansions of logarithmic Sobolev, $\mathcal{W}$- functionals and scalar curvature rigidity

Liang Cheng

arxiv:2409.06117 v5 · 2024-09-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXLRZ6HLWGYBBSFGDTLBZ2GVIH}

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.

Cited by

1 paper in Pith

Geometric Stability of the Schoen-Yau Zero Mass Theorem

Receipt and verification

First computed	2026-07-05T11:05:34.717892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd71cf8ebb1b010c8a61cd61ce8d541d24e804ff05e0ab68de8d72b3e8517e0

Aliases

arxiv: 2409.06117 · arxiv_version: 2409.06117v5 · doi: 10.48550/arxiv.2409.06117 · pith_short_12: FXLRZ6HLWGYB · pith_short_16: FXLRZ6HLWGYBBSFG · pith_short_8: FXLRZ6HL

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/FXLRZ6HLWGYBBSFGDTLBZ2GVIH \
  | 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: 2dd71cf8ebb1b010c8a61cd61ce8d541d24e804ff05e0ab68de8d72b3e8517e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbdbce31327bd384fe2c5c4251705cc7f534befaa8442204ee2ee04e83eecf3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-09-10T00:01:44Z",
    "title_canon_sha256": "4cc500075d017e74ee76073961687db876b03f947c3639bbebe0a0404f0c4065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06117",
    "kind": "arxiv",
    "version": 5
  }
}