Pith Number

pith:3MXOEFNT

pith:2015:3MXOEFNTRTHA7WIY7DLEBNUOLK

not attested not anchored not stored refs pending

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

Andrea Mondino, Fabio Cavalletti

arxiv:1502.06465 v2 · 2015-02-23 · 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{3MXOEFNTRTHA7WIY7DLEBNUOLK}

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	2026-05-17T23:46:55.981245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2ee215b38cce0fd918f8d640b68e5a981bc86b2a15c95f1eb27d060942da39

Aliases

arxiv: 1502.06465 · arxiv_version: 1502.06465v2 · doi: 10.48550/arxiv.1502.06465 · pith_short_12: 3MXOEFNTRTHA · pith_short_16: 3MXOEFNTRTHA7WIY · pith_short_8: 3MXOEFNT

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/3MXOEFNTRTHA7WIY7DLEBNUOLK \
  | 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: db2ee215b38cce0fd918f8d640b68e5a981bc86b2a15c95f1eb27d060942da39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6087fbb40012cfa051cc92fc795e27d929ed463879b2acff6d746a8c25a7a6ca",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-02-23T15:44:51Z",
    "title_canon_sha256": "53cae55064c93437fa05980f3b1adcdb981aaccec75ecae17ec489b2d7379c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06465",
    "kind": "arxiv",
    "version": 2
  }
}