Pith Number

pith:53KHZFXG

pith:2021:53KHZFXGLENKZVBQBBT222FJCU

not attested not anchored not stored refs pending

Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature

Lorenzo Mazzieri, Luca Benatti, Mattia Fogagnolo

arxiv:2101.06063 v5 · 2021-01-15 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53KHZFXGLENKZVBQBBT222FJCU}

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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

Euclidean Domains with Nearly Maximal Yamabe Quotient

Receipt and verification

First computed	2026-07-05T09:30:53.638485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed47c96e6591aacd4300867ad68a91538fcb2c26645f1cef699e626c4f60229

Aliases

arxiv: 2101.06063 · arxiv_version: 2101.06063v5 · doi: 10.48550/arxiv.2101.06063 · pith_short_12: 53KHZFXGLENK · pith_short_16: 53KHZFXGLENKZVBQ · pith_short_8: 53KHZFXG

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/53KHZFXGLENKZVBQBBT222FJCU \
  | 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: eed47c96e6591aacd4300867ad68a91538fcb2c26645f1cef699e626c4f60229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd8824584f4bf82f7dcda8188abececd0aec36b5ce0ab57350081e71754518b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-01-15T11:21:51Z",
    "title_canon_sha256": "b11bcdb6cce113db745a7929b437da9fdd5ed3ce52b1d91905eb5cc0d9f28f6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06063",
    "kind": "arxiv",
    "version": 5
  }
}