Pith Number

pith:ZHWWAZDV

pith:2019:ZHWWAZDV5S5XC75GT2XOXJ3ZBU

not attested not anchored not stored refs pending

Local and Global Homogeneity for Manifolds that admit a Positive Curvature Metric

Joseph A. Wolf

arxiv:1906.06596 v2 · 2019-06-15 · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHWWAZDV5S5XC75GT2XOXJ3ZBU}

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	2026-05-17T23:41:36.200355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ed606475ecbb717fa69eaeeba7790d11ef814031ea24f37848784af05a5359

Aliases

arxiv: 1906.06596 · arxiv_version: 1906.06596v2 · doi: 10.48550/arxiv.1906.06596 · pith_short_12: ZHWWAZDV5S5X · pith_short_16: ZHWWAZDV5S5XC75G · pith_short_8: ZHWWAZDV

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/ZHWWAZDV5S5XC75GT2XOXJ3ZBU \
  | 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: c9ed606475ecbb717fa69eaeeba7790d11ef814031ea24f37848784af05a5359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ac902912fa2bd731fa4046ed89534463203d395c9b507373812d8fa14f47ac",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-15T17:47:37Z",
    "title_canon_sha256": "7d54a159be1fd51a804dac36778bac6651bfce0f2d85d54d55bd9afe4493d859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06596",
    "kind": "arxiv",
    "version": 2
  }
}