Pith Number

pith:PX2D3KUS

pith:2019:PX2D3KUSKRHZLM2FU67C7WIYRF

not attested not anchored not stored refs pending

Nonclassical minimizing surfaces with smooth boundary

Camillo De Lellis, Guido De Philippis, Jonas Hirsch

arxiv:1906.09488 v2 · 2019-06-22 · math.DG · 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{PX2D3KUSKRHZLM2FU67C7WIYRF}

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	2026-05-17T23:41:57.737932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df43daa92544f95b345a7be2fd918897656260352a113443bebcf53f84b6c83

Aliases

arxiv: 1906.09488 · arxiv_version: 1906.09488v2 · doi: 10.48550/arxiv.1906.09488 · pith_short_12: PX2D3KUSKRHZ · pith_short_16: PX2D3KUSKRHZLM2F · pith_short_8: PX2D3KUS

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/PX2D3KUSKRHZLM2FU67C7WIYRF \
  | 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: 7df43daa92544f95b345a7be2fd918897656260352a113443bebcf53f84b6c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3bc60676f5528fffacf3d81765a24707c32ca4820ca26076bfd97ec891a8217",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-22T19:15:57Z",
    "title_canon_sha256": "fb5bd582071bba009f31e9bb939f20788ce840d9641c7cc3c4122862ac8dbdfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09488",
    "kind": "arxiv",
    "version": 2
  }
}