Pith Number

pith:GSKGGXQP

pith:2015:GSKGGXQPGE5T22J5NDT6I6PGPC

not attested not anchored not stored refs pending

Regularity of isoperimetric sets in $\mathbb R^2$ with density

Aldo Pratelli, Eleonora Cinti

arxiv:1503.06592 v1 · 2015-03-23 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSKGGXQPGE5T22J5NDT6I6PGPC}

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	2026-05-18T02:20:18.342151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3494635e0f313b3d693d68e7e479e678ad61b1ed537b5f9ac9c1bd7a40d8bb3d

Aliases

arxiv: 1503.06592 · arxiv_version: 1503.06592v1 · doi: 10.48550/arxiv.1503.06592 · pith_short_12: GSKGGXQPGE5T · pith_short_16: GSKGGXQPGE5T22J5 · pith_short_8: GSKGGXQP

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/GSKGGXQPGE5T22J5NDT6I6PGPC \
  | 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: 3494635e0f313b3d693d68e7e479e678ad61b1ed537b5f9ac9c1bd7a40d8bb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d621f95c21585da03f7fb564c2192ac54f2529a9e6d4df996bbc7307301b305c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-23T10:45:36Z",
    "title_canon_sha256": "f97c2068dfb235426a55c0683a076d54461be4992a83d81829201a804661d3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06592",
    "kind": "arxiv",
    "version": 1
  }
}