Pith Number

pith:D7NJVPHM

pith:2021:D7NJVPHM65I6JR257CJQ3XRHBA

not attested not anchored not stored refs pending

Isoperimetric inequality in noncompact MCP spaces

Davide Manini, Fabio Cavalletti

arxiv:2110.07528 v2 · 2021-10-14 · math.MG · 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{D7NJVPHM65I6JR257CJQ3XRHBA}

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	2026-07-05T03:30:54.395144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fda9abcecf751e4c75df8930dde27082a058d25ca748c7c2f5cd02461a2b33c

Aliases

arxiv: 2110.07528 · arxiv_version: 2110.07528v2 · doi: 10.48550/arxiv.2110.07528 · pith_short_12: D7NJVPHM65I6 · pith_short_16: D7NJVPHM65I6JR25 · pith_short_8: D7NJVPHM

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/D7NJVPHM65I6JR257CJQ3XRHBA \
  | 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: 1fda9abcecf751e4c75df8930dde27082a058d25ca748c7c2f5cd02461a2b33c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b304956ef5ba54bd072ce3490da70d0cf14ae8c14a6f6a8b093e34f107b7f17b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2021-10-14T16:48:06Z",
    "title_canon_sha256": "10de3e4142fb6cbc2861ea6a39fa194371269330a3b07c49d1b5262f754f0dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.07528",
    "kind": "arxiv",
    "version": 2
  }
}