Pith Number

pith:QRQY26KS

pith:2023:QRQY26KSPETR2TLRKLTTEQLYPW

not attested not anchored not stored refs pending

Lower Ricci Curvature and Nonexistence of Manifold Structure

Aaron Naber, Erik Hupp, Kai-Hsiang Wang

arxiv:2308.03909 v1 · 2023-08-07 · 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{QRQY26KSPETR2TLRKLTTEQLYPW}

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

Gromov-Hausdorff limit of orthonormal frame bundles of non-collapsed manifolds with bounded Ricci curvature

Receipt and verification

First computed	2026-07-05T10:06:27.238041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84618d795279271d4d7152e73241787d923d269bed9b832f3d57ecc2fea4d836

Aliases

arxiv: 2308.03909 · arxiv_version: 2308.03909v1 · doi: 10.48550/arxiv.2308.03909 · pith_short_12: QRQY26KSPETR · pith_short_16: QRQY26KSPETR2TLR · pith_short_8: QRQY26KS

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/QRQY26KSPETR2TLRKLTTEQLYPW \
  | 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: 84618d795279271d4d7152e73241787d923d269bed9b832f3d57ecc2fea4d836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14fe03017912a305894f47f1afba346286d89a79861e553556657f3e826a348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-08-07T20:52:10Z",
    "title_canon_sha256": "6be5a64db60fe786296d134e80d59082f74445af2ba2aec32272d82729855319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.03909",
    "kind": "arxiv",
    "version": 1
  }
}