Pith Number

pith:FJDBBDDK

pith:2018:FJDBBDDKZLGLR7RBZO75QRR2PN

not attested not anchored not stored refs pending

Nonnegative Ricci curvature, almost stability at infinity, and structure of fundamental groups

Jiayin Pan

arxiv:1809.10220 v2 · 2018-09-26 · 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{FJDBBDDKZLGLR7RBZO75QRR2PN}

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

Receipt and verification

First computed	2026-07-05T11:32:11.040098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a46108c6acaccb8fe21cbbfd8463a7b7f31d4b945cba11a017e14864ce9b0bb

Aliases

arxiv: 1809.10220 · arxiv_version: 1809.10220v2 · doi: 10.48550/arxiv.1809.10220 · pith_short_12: FJDBBDDKZLGL · pith_short_16: FJDBBDDKZLGLR7RB · pith_short_8: FJDBBDDK

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/FJDBBDDKZLGLR7RBZO75QRR2PN \
  | 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: 2a46108c6acaccb8fe21cbbfd8463a7b7f31d4b945cba11a017e14864ce9b0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5555125132b505a6adf77a81ea0035a9e346728c7903f57d94e7c8e4d3eab8b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-26T20:33:59Z",
    "title_canon_sha256": "683de418fddc119c15787f5a51838c14a1b1bdae72f99b4fd35562d890edb915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10220",
    "kind": "arxiv",
    "version": 2
  }
}