Pith Number

pith:3D5OLLXU

pith:2017:3D5OLLXUQ2PNHHJBTMNTBSAN7Q

not attested not anchored not stored refs pending

Negative Ricci curvature on some non-solvable Lie groups II

Cynthia E. Will

arxiv:1710.07714 v2 · 2017-10-20 · 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{3D5OLLXUQ2PNHHJBTMNTBSAN7Q}

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	2026-05-17T23:46:36.492425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8fae5aef4869ed39d219b1b30c80dfc389bdf94a6d452b13b502609b39db500

Aliases

arxiv: 1710.07714 · arxiv_version: 1710.07714v2 · doi: 10.48550/arxiv.1710.07714 · pith_short_12: 3D5OLLXUQ2PN · pith_short_16: 3D5OLLXUQ2PNHHJB · pith_short_8: 3D5OLLXU

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/3D5OLLXUQ2PNHHJBTMNTBSAN7Q \
  | 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: d8fae5aef4869ed39d219b1b30c80dfc389bdf94a6d452b13b502609b39db500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4c8b21844b464fe6c86ffa13ea2ece8e16b6cea4e99789db202abe5772b6c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-20T21:49:42Z",
    "title_canon_sha256": "b3b14ed86b6b781866546e1753602cfe37e84cefd744c34faa1ad96e24dc4689"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07714",
    "kind": "arxiv",
    "version": 2
  }
}