Pith Number

pith:RAYQGZVR

pith:2019:RAYQGZVR3G44YUK2YO3U5SMYXF

not attested not anchored not stored refs pending

Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds

Bang-Xian Han

arxiv:1902.00942 v3 · 2019-02-03 · math.MG · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAYQGZVR3G44YUK2YO3U5SMYXF}

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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

On the structure of RCD spaces with upper curvature bounds

Receipt and verification

First computed	2026-07-05T03:05:40.971068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88310366b1d9b9cc515ac3b74ec998b95e068666ef1a862b3f93dfc1fabc0af6

Aliases

arxiv: 1902.00942 · arxiv_version: 1902.00942v3 · doi: 10.48550/arxiv.1902.00942 · pith_short_12: RAYQGZVR3G44 · pith_short_16: RAYQGZVR3G44YUK2 · pith_short_8: RAYQGZVR

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/RAYQGZVR3G44YUK2YO3U5SMYXF \
  | 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: 88310366b1d9b9cc515ac3b74ec998b95e068666ef1a862b3f93dfc1fabc0af6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706f74651e917ada6a7423b5c26d657ff0fedcab8dfe3bb21185213a85b6d649",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-02-03T18:07:49Z",
    "title_canon_sha256": "625efcacb110c1ebc15c46e054ab7b2a96dc56388b099196cbde1d987018ce28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00942",
    "kind": "arxiv",
    "version": 3
  }
}