Pith Number

pith:PBJ745XV

pith:2021:PBJ745XVF5DK3YKCLDGCBVXBRB

not attested not anchored not stored refs pending

An upper Minkowski bound for the interior singular set of area minimizing currents

Anna Skorobogatova

arxiv:2108.00418 v2 · 2021-08-01 · 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{PBJ745XVF5DK3YKCLDGCBVXBRB}

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

Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case

Receipt and verification

First computed	2026-07-05T04:01:43.101806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7853fe76f52f46ade14258cc20d6e1885c0b3e0909687903935feb918f2a6c16

Aliases

arxiv: 2108.00418 · arxiv_version: 2108.00418v2 · doi: 10.48550/arxiv.2108.00418 · pith_short_12: PBJ745XVF5DK · pith_short_16: PBJ745XVF5DK3YKC · pith_short_8: PBJ745XV

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/PBJ745XVF5DK3YKCLDGCBVXBRB \
  | 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: 7853fe76f52f46ade14258cc20d6e1885c0b3e0909687903935feb918f2a6c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631f07740e4a518d13958844fba09c05aeef0d2cf39f67487aff01fc1140cc28",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-08-01T10:07:33Z",
    "title_canon_sha256": "26aebaea37f5ca94090066c3c27f09613b56e1dc3a06918c124b8dbcbaac6a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00418",
    "kind": "arxiv",
    "version": 2
  }
}