Pith Number

pith:UJ36PEYJ

pith:2012:UJ36PEYJ3V6PYG24FG3IAKC2WK

not attested not anchored not stored refs pending

Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions

Andrea Mondino, Stefano Nardulli

arxiv:1210.0567 v1 · 2012-10-01 · math.DG · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJ36PEYJ3V6PYG24FG3IAKC2WK}

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	2026-05-17T23:46:56.098483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a277e79309dd7cfc1b5c29b680285ab28adf635caaf499b6733d0546946a0f7d

Aliases

arxiv: 1210.0567 · arxiv_version: 1210.0567v1 · doi: 10.48550/arxiv.1210.0567 · pith_short_12: UJ36PEYJ3V6P · pith_short_16: UJ36PEYJ3V6PYG24 · pith_short_8: UJ36PEYJ

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/UJ36PEYJ3V6PYG24FG3IAKC2WK \
  | 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: a277e79309dd7cfc1b5c29b680285ab28adf635caaf499b6733d0546946a0f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aadce3cef9526fe703b3accb1b846c9602918fe229f2edea1370becdff8093ab",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-01T20:34:46Z",
    "title_canon_sha256": "9a00317bfdb5b88b142e36472d187b5c9d6b69945a112dc48d97af10e6fe94f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0567",
    "kind": "arxiv",
    "version": 1
  }
}