Pith Number

pith:A7YC7SGX

pith:2024:A7YC7SGX5PUYQXKK4GKQ5YEA32

not attested not anchored not stored refs pending

Interior regularity of area minimizing currents within a $C^{2,\alpha}$-submanifold

Reinaldo Resende, Stefano Nardulli

arxiv:2404.17407 v2 · 2024-04-26 · 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{A7YC7SGX5PUYQXKK4GKQ5YEA32}

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	2026-07-05T10:56:05.833578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07f02fc8d7ebe9885d4ae1950ee080de8c6ef17cf656a9eebc384419b1b271f4

Aliases

arxiv: 2404.17407 · arxiv_version: 2404.17407v2 · doi: 10.48550/arxiv.2404.17407 · pith_short_12: A7YC7SGX5PUY · pith_short_16: A7YC7SGX5PUYQXKK · pith_short_8: A7YC7SGX

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/A7YC7SGX5PUYQXKK4GKQ5YEA32 \
  | 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: 07f02fc8d7ebe9885d4ae1950ee080de8c6ef17cf656a9eebc384419b1b271f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c75c8679c0a5c862d62eabc305877b80758fbed79188faa5fd13e2b8439cc72",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-04-26T13:35:58Z",
    "title_canon_sha256": "f43f5b066c4a9d33eea9c4ae40ba96224222cb765c4d1f8d8a33539e6e09fb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.17407",
    "kind": "arxiv",
    "version": 2
  }
}