Pith Number

pith:EAJ3MWTA

pith:2019:EAJ3MWTA7HCDNUHU5FG2X24CDP

not attested not anchored not stored refs pending

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below

Xiaodong Wang

arxiv:1908.03069 v2 · 2019-08-08 · 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{EAJ3MWTA7HCDNUHU5FG2X24CDP}

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	2026-07-05T01:05:35.956361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2013b65a60f9c436d0f4e94dabeb821bccfce96605c3338df5dce167ffb65555

Aliases

arxiv: 1908.03069 · arxiv_version: 1908.03069v2 · doi: 10.48550/arxiv.1908.03069 · pith_short_12: EAJ3MWTA7HCD · pith_short_16: EAJ3MWTA7HCDNUHU · pith_short_8: EAJ3MWTA

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/EAJ3MWTA7HCDNUHU5FG2X24CDP \
  | 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: 2013b65a60f9c436d0f4e94dabeb821bccfce96605c3338df5dce167ffb65555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd020c644d10156e1cd7774c562c9c387836d2fe305f7d8ff8a1b932d617043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-08T13:43:30Z",
    "title_canon_sha256": "cce167b7f9377d11da649cadcd369e91aa535c7f3ae35481d31b01878b56cf42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03069",
    "kind": "arxiv",
    "version": 2
  }
}