Pith Number

pith:7EMBCGCS

pith:2010:7EMBCGCSXFVZSXCPHTXBHHTCLD

not attested not anchored not stored refs pending

The Isoperimetric Profile of a Noncompact Riemannian Manifold for Small Volumes

Stefano Nardulli

arxiv:1009.0319 v2 · 2010-09-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EMBCGCSXFVZSXCPHTXBHHTCLD}

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	2026-05-18T01:28:35.770818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f918111852b96b995c4f3cee139e6258dfe63749c4cde465f1a3f47a1d06b986

Aliases

arxiv: 1009.0319 · arxiv_version: 1009.0319v2 · doi: 10.48550/arxiv.1009.0319 · pith_short_12: 7EMBCGCSXFVZ · pith_short_16: 7EMBCGCSXFVZSXCP · pith_short_8: 7EMBCGCS

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/7EMBCGCSXFVZSXCPHTXBHHTCLD \
  | 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: f918111852b96b995c4f3cee139e6258dfe63749c4cde465f1a3f47a1d06b986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80410d4be18eaf694acccafd7864842637e0eb4edabfbd09c3977f269efc38bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-02T02:44:40Z",
    "title_canon_sha256": "64a506bacc8b981ca2b114145d42e30e84da92f70739e31ab33daaecb477b08d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0319",
    "kind": "arxiv",
    "version": 2
  }
}