Pith Number

pith:HEHH7QTJ

pith:2018:HEHH7QTJKEFHWOLVKUYSDBCPY5

not attested not anchored not stored refs pending

Ricci curvature and isometric actions with scaling nonvanishing property

Jiayin Pan, Xiaochun Rong

arxiv:1808.02329 v3 · 2018-08-07 · 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{HEHH7QTJKEFHWOLVKUYSDBCPY5}

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

2 papers in Pith

Geometric transformation theorem, fundamental groups and monotone of numbers of almost Euclidean factors of geodesic balls

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

Receipt and verification

First computed	2026-05-18T00:06:01.144096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

390e7fc269510a7b3975553121844fc76855bf8efe59589e49abffe7cdded6de

Aliases

arxiv: 1808.02329 · arxiv_version: 1808.02329v3 · doi: 10.48550/arxiv.1808.02329 · pith_short_12: HEHH7QTJKEFH · pith_short_16: HEHH7QTJKEFHWOLV · pith_short_8: HEHH7QTJ

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/HEHH7QTJKEFHWOLVKUYSDBCPY5 \
  | 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: 390e7fc269510a7b3975553121844fc76855bf8efe59589e49abffe7cdded6de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad03052940cc317dbafdb7b1f1f749723944135f8ecbdb0400012237c89c320",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-07T12:52:57Z",
    "title_canon_sha256": "58375c9c73401c9ba5e2669b907db42d373ac770f65dbf562db83914f81fb378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02329",
    "kind": "arxiv",
    "version": 3
  }
}