Pith Number

pith:D3OGZ53Y

pith:2023:D3OGZ53YDZM6ZMO2VDM7JTVOY6

not attested not anchored not stored refs pending

Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature

Gioacchino Antonelli, Marco Pozzetta

arxiv:2302.10091 v3 · 2023-02-20 · math.DG · 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{D3OGZ53YDZM6ZMO2VDM7JTVOY6}

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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

An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds

Receipt and verification

First computed	2026-07-05T10:41:43.970041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1edc6cf7781e59ecb1daa8d9f4ceaec7a91f6b7013a91e35fcfce968bde076ec

Aliases

arxiv: 2302.10091 · arxiv_version: 2302.10091v3 · doi: 10.48550/arxiv.2302.10091 · pith_short_12: D3OGZ53YDZM6 · pith_short_16: D3OGZ53YDZM6ZMO2 · pith_short_8: D3OGZ53Y

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/D3OGZ53YDZM6ZMO2VDM7JTVOY6 \
  | 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: 1edc6cf7781e59ecb1daa8d9f4ceaec7a91f6b7013a91e35fcfce968bde076ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b691fe34011656fb3acecbd5bd9161a461d530b312ae156f4a6a89655ce1f0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-02-20T16:55:47Z",
    "title_canon_sha256": "fb709532e25e565f49d6e5fbc87b3cc280954c33c8ce2eba0d7b660946795dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.10091",
    "kind": "arxiv",
    "version": 3
  }
}