Pith Number

pith:ZI5MPLAK

pith:2025:ZI5MPLAKO5DZIB2J7QW7OVTN42

not attested not anchored not stored refs pending

Generic regularity for minimizing hypersurfaces in dimension 11

Christos Mantoulidis, Felix Schulze, Otis Chodosh, Zhihan Wang

arxiv:2506.12852 v1 · 2025-06-15 · 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{ZI5MPLAKO5DZIB2J7QW7OVTN42}

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.

Cited by

7 papers in Pith

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

A new boundary mass for asymptotically flat half-manifolds

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities

The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions

Receipt and verification

First computed	2026-07-05T11:22:01.374882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3ac7ac0a7747940749fc2df7566de6868e56f4974692ebc41835ed5a2fa337

Aliases

arxiv: 2506.12852 · arxiv_version: 2506.12852v1 · doi: 10.48550/arxiv.2506.12852 · pith_short_12: ZI5MPLAKO5DZ · pith_short_16: ZI5MPLAKO5DZIB2J · pith_short_8: ZI5MPLAK

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/ZI5MPLAKO5DZIB2J7QW7OVTN42 \
  | 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: ca3ac7ac0a7747940749fc2df7566de6868e56f4974692ebc41835ed5a2fa337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9be63016f428ed5fea99216f64b6dc8c9b1f766201fd762f1dd8b780cd64005",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-15T13:59:16Z",
    "title_canon_sha256": "0d541fb9700f1099b93c87bf89192d5fc45ddf7d6a1414ac44edc4a08a28e546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12852",
    "kind": "arxiv",
    "version": 1
  }
}