Pith Number

pith:ZLABNLJ7

pith:2025:ZLABNLJ7VJXOQQ67GIUSZMX57Y

not attested not anchored not stored refs pending

The superposition principle for local 1-dimensional currents

Federico Renzi, Federico Vitillaro, Luigi Ambrosio

arxiv:2503.18157 v1 · 2025-03-23 · math.MG · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLABNLJ7VJXOQQ67GIUSZMX57Y}

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 Metric $1$-currents: approximation by normal currents and representation results

Receipt and verification

First computed	2026-07-05T10:38:03.868669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac016ad3faa6ee843df32292cb2fdfe060e273c478f933acd5c464188b4a055

Aliases

arxiv: 2503.18157 · arxiv_version: 2503.18157v1 · doi: 10.48550/arxiv.2503.18157 · pith_short_12: ZLABNLJ7VJXO · pith_short_16: ZLABNLJ7VJXOQQ67 · pith_short_8: ZLABNLJ7

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/ZLABNLJ7VJXOQQ67GIUSZMX57Y \
  | 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: cac016ad3faa6ee843df32292cb2fdfe060e273c478f933acd5c464188b4a055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c810e53958757705d1cc9351582aa6e0e50af9a472503ec36bf11f71fc799d76",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-03-23T17:55:44Z",
    "title_canon_sha256": "6dda03e02fb69f16118ebd76d0b1ed21dd3bbea7a8cbf9cb1188745b9b92db6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18157",
    "kind": "arxiv",
    "version": 1
  }
}