Pith Number

pith:PX4AME6P

pith:2022:PX4AME6PKPEU3H32HX6ADKMPDN

not attested not anchored not stored refs pending

Fine structure of the singular set of area minimizing hypersurfaces modulo $p$

Andrea Marchese, Camillo De Lellis, Jonas Hirsch, Luca Spolaor, Salvatore Stuvard

arxiv:2201.10204 v2 · 2022-01-25 · math.AP · 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{PX4AME6PKPEU3H32HX6ADKMPDN}

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

1 paper in Pith

A Branch Set Stratification for Stationary Varifolds with Epsilon-Regularity

Receipt and verification

First computed	2026-07-05T03:54:04.655392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df80613cf53c94d9f7a3dfc01a98f1b77f4677a388b6cdb60b4e20fead4a526

Aliases

arxiv: 2201.10204 · arxiv_version: 2201.10204v2 · doi: 10.48550/arxiv.2201.10204 · pith_short_12: PX4AME6PKPEU · pith_short_16: PX4AME6PKPEU3H32 · pith_short_8: PX4AME6P

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/PX4AME6PKPEU3H32HX6ADKMPDN \
  | 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: 7df80613cf53c94d9f7a3dfc01a98f1b77f4677a388b6cdb60b4e20fead4a526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6f841ed2c538f259fa340149a1b82a6446afa3591d92a3007ca8f48f637c9b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-25T09:41:47Z",
    "title_canon_sha256": "ca24926342c4e0aae6d4bba9bb9d7758934bbe14ea80a620e2ab6ac723e8ba88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10204",
    "kind": "arxiv",
    "version": 2
  }
}