Pith Number

pith:EFVTLUKR

pith:2026:EFVTLUKRGXBJ4X5GY7FIOBTNET

not attested not anchored not stored refs pending

Nonlocal minimal surfaces are generically unique, and smooth in one extra dimension

Enrico Valdinoci, Serena Dipierro, Xavier Fern\'andez-Real

arxiv:2607.07154 v1 · 2026-07-08 · 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{EFVTLUKRGXBJ4X5GY7FIOBTNET}

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	2026-07-09T01:20:15.858011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216b35d15135c29e5fa6c7ca87066d24d0b41ff994d054e5a37a2a658b1f00b4

Aliases

arxiv: 2607.07154 · arxiv_version: 2607.07154v1 · doi: 10.48550/arxiv.2607.07154 · pith_short_12: EFVTLUKRGXBJ · pith_short_16: EFVTLUKRGXBJ4X5G · pith_short_8: EFVTLUKR

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/EFVTLUKRGXBJ4X5GY7FIOBTNET \
  | 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: 216b35d15135c29e5fa6c7ca87066d24d0b41ff994d054e5a37a2a658b1f00b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b592006cb6f24c9d273d021c8026a9aa04ddffee39e348fe881d9ba841dee4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-08T08:47:58Z",
    "title_canon_sha256": "b32b4c10f14d1f68c20b63a5370aad9bbde2ab2785e05611c79571a6f5e5743c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07154",
    "kind": "arxiv",
    "version": 1
  }
}