Pith Number

pith:MDNXZQMC

pith:2012:MDNXZQMC6DY3BTBXTUVBLMOPTR

not attested not anchored not stored refs pending

Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile

Stefano Nardulli

arxiv:1210.1328 v1 · 2012-10-04 · 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{MDNXZQMC6DY3BTBXTUVBLMOPTR}

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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.

Receipt and verification

First computed	2026-05-18T01:28:35.644807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60db7cc182f0f1b0cc379d2a15b1cf9c78a59b3a28ca6ef655e8c00c30cde009

Aliases

arxiv: 1210.1328 · arxiv_version: 1210.1328v1 · doi: 10.48550/arxiv.1210.1328 · pith_short_12: MDNXZQMC6DY3 · pith_short_16: MDNXZQMC6DY3BTBX · pith_short_8: MDNXZQMC

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/MDNXZQMC6DY3BTBXTUVBLMOPTR \
  | 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: 60db7cc182f0f1b0cc379d2a15b1cf9c78a59b3a28ca6ef655e8c00c30cde009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad794e2df530d954393af17a4dbf9431b7116cc85ad031432a7f0c4542ce480",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-04T08:19:52Z",
    "title_canon_sha256": "80cedb8b210a3ce40ad51b8def56a69838a80e4406cd30a16b22e16c95a3f366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1328",
    "kind": "arxiv",
    "version": 1
  }
}