Pith Number

pith:GPA52BK4

pith:2021:GPA52BK4BAIWGJRYMSQZF34Q7I

not attested not anchored not stored refs pending

Some Properties of the Intersection of Free Boundary Minimal Hypersurfaces in Euclidean Balls

Alcides de Carvalho, Ezequiel Barbosa, Roney Santos

arxiv:2109.13007 v2 · 2021-09-27 · 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{GPA52BK4BAIWGJRYMSQZF34Q7I}

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	2026-07-05T03:50:36.543411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c1dd055c081163263864a192ef90fa28b7a22891a7af342e9c2fe6db6c452b

Aliases

arxiv: 2109.13007 · arxiv_version: 2109.13007v2 · doi: 10.48550/arxiv.2109.13007 · pith_short_12: GPA52BK4BAIW · pith_short_16: GPA52BK4BAIWGJRY · pith_short_8: GPA52BK4

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/GPA52BK4BAIWGJRYMSQZF34Q7I \
  | 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: 33c1dd055c081163263864a192ef90fa28b7a22891a7af342e9c2fe6db6c452b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0760ddeacda7253cbffcb5669e1efb24d185af14bab063b8a711edcda6941630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-09-27T12:42:41Z",
    "title_canon_sha256": "8ef99acbd7a54d8418d868e654bf3ec80b0605c34b5e31bd20ad3a369848dbf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13007",
    "kind": "arxiv",
    "version": 2
  }
}