Pith Number

pith:74PEVXR5

pith:2018:74PEVXR5CT7TT3AKWS2Y3L5W6Q

not attested not anchored not stored refs pending

The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones

Marcos Petr\'ucio Cavalcante, Wagner Oliveira Costa-Filho

arxiv:1810.03578 v1 · 2018-10-08 · 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{74PEVXR5CT7TT3AKWS2Y3L5W6Q}

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	2026-05-17T23:43:04.517330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff1e4ade3d14ff39ec0ab4b58dafb6f433f6458b66fc38f0ef00343a8c47e0c5

Aliases

arxiv: 1810.03578 · arxiv_version: 1810.03578v1 · doi: 10.48550/arxiv.1810.03578 · pith_short_12: 74PEVXR5CT7T · pith_short_16: 74PEVXR5CT7TT3AK · pith_short_8: 74PEVXR5

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/74PEVXR5CT7TT3AKWS2Y3L5W6Q \
  | 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: ff1e4ade3d14ff39ec0ab4b58dafb6f433f6458b66fc38f0ef00343a8c47e0c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0bf36311349a7e5a2326f235df46ff1a639ad320baf40a6a0875edf82115b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-10-08T16:58:52Z",
    "title_canon_sha256": "8c6c9664e61445648b95bf23847a448c218007fb4ccf6ccfb59aff2dde045e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03578",
    "kind": "arxiv",
    "version": 1
  }
}