Pith Number

pith:CXFFWG65

pith:2026:CXFFWG65OWNQYG6NNMSPU2KVWV

not attested not anchored not stored refs pending

On the equivalence of BV notions in metric measure spaces

Enrico Pasqualetto, Luigi Ambrosio, Nageswari Shanmugalingam

arxiv:2606.22899 v1 · 2026-06-22 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXFFWG65OWNQYG6NNMSPU2KVWV}

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	2026-06-23T03:14:03.642057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ca5b1bdd759b0c1bcd6b24fa6955b54056e014b4bd2c93ca5eb832d013f2b3

Aliases

arxiv: 2606.22899 · arxiv_version: 2606.22899v1 · doi: 10.48550/arxiv.2606.22899 · pith_short_12: CXFFWG65OWNQ · pith_short_16: CXFFWG65OWNQYG6N · pith_short_8: CXFFWG65

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/CXFFWG65OWNQYG6NNMSPU2KVWV \
  | 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: 15ca5b1bdd759b0c1bcd6b24fa6955b54056e014b4bd2c93ca5eb832d013f2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e5c3530dbf74a4940e23757c90c38133ecb042be98d3f37a6620b8d5d1a7859",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-22T06:26:44Z",
    "title_canon_sha256": "8097a938fb489c987ac7559577586ed69a2e4f76c44744fc6a1101372728f501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22899",
    "kind": "arxiv",
    "version": 1
  }
}