Pith Number

pith:72QGWXIG

pith:2018:72QGWXIGSYAGR5YSVCNVCG337U

not attested not anchored not stored refs pending

Symmetry of minimizers of a Gaussian isoperimetric problem

Marco Barchiesi, Vesa Julin

arxiv:1805.03161 v1 · 2018-05-08 · math.PR · 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{72QGWXIGSYAGR5YSVCNVCG337U}

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	2026-05-18T00:16:34.415875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea06b5d06960068f712a89b511b7bfd1ba7f84fce6a086d6fd30b1906355334

Aliases

arxiv: 1805.03161 · arxiv_version: 1805.03161v1 · doi: 10.48550/arxiv.1805.03161 · pith_short_12: 72QGWXIGSYAG · pith_short_16: 72QGWXIGSYAGR5YS · pith_short_8: 72QGWXIG

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/72QGWXIGSYAGR5YSVCNVCG337U \
  | 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: fea06b5d06960068f712a89b511b7bfd1ba7f84fce6a086d6fd30b1906355334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e9a1c5e20d38f614a8d53688901f9cb1218b83c90e1aba7b0a1dd45951eb588",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-08T16:53:44Z",
    "title_canon_sha256": "8e6fb2c3c2c2b3c18c27c3b79fd0d61c323f4c3569c39cce88ec858cc5672c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03161",
    "kind": "arxiv",
    "version": 1
  }
}