Pith Number

pith:RRPIBSLQ

pith:2018:RRPIBSLQQFBL4NQ3BVUFALLZL6

not attested not anchored not stored refs pending

Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature

Lorenzo Mazzieri, Mattia Fogagnolo, Virginia Agostiniani

arxiv:1812.05022 v2 · 2018-12-12 · math.DG · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRPIBSLQQFBL4NQ3BVUFALLZL6}

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	2026-05-17T23:54:38.950998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c5e80c9708142be361b0d68502d795f81bee3b6cbfb345e7275b51c52dbd6c4

Aliases

arxiv: 1812.05022 · arxiv_version: 1812.05022v2 · doi: 10.48550/arxiv.1812.05022 · pith_short_12: RRPIBSLQQFBL · pith_short_16: RRPIBSLQQFBL4NQ3 · pith_short_8: RRPIBSLQ

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/RRPIBSLQQFBL4NQ3BVUFALLZL6 \
  | 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: 8c5e80c9708142be361b0d68502d795f81bee3b6cbfb345e7275b51c52dbd6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28a201f7edd82b88d4897b57e6feeb25890692d54af08b05425230cc73771ff7",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-12-12T16:48:01Z",
    "title_canon_sha256": "1bfdead373e445ad3ce0310ba1d9006d76b9408bb308adb29e96c9d1060acec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05022",
    "kind": "arxiv",
    "version": 2
  }
}