Pith Number

pith:L57DJ7WB

pith:2026:L57DJ7WBTK4IV7GBARIPSLGMIZ

not attested not anchored not stored refs pending

A mass-type invariant for smooth metric measure spaces and its relation with the fractional Yamabe problem

Levi Lopes de Lima, Sergio Almaraz, Shaodong Wang

arxiv:2606.23248 v1 · 2026-06-22 · 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{L57DJ7WBTK4IV7GBARIPSLGMIZ}

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	2026-06-23T03:14:14.821212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f7e34fec19ab88afcc10450f92ccc4644a5e44b7f37426ad96d3b77f19ed6b7

Aliases

arxiv: 2606.23248 · arxiv_version: 2606.23248v1 · doi: 10.48550/arxiv.2606.23248 · pith_short_12: L57DJ7WBTK4I · pith_short_16: L57DJ7WBTK4IV7GB · pith_short_8: L57DJ7WB

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/L57DJ7WBTK4IV7GBARIPSLGMIZ \
  | 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: 5f7e34fec19ab88afcc10450f92ccc4644a5e44b7f37426ad96d3b77f19ed6b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09cdb0f03ce6d29b7144268e8ff25e22d8c91ae4c2a5a37e277fa75cdae77e8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-22T12:30:26Z",
    "title_canon_sha256": "8187f540b8613d829179438fd25798f1c0e1f9b09acef8c5f6a643d1a2c7cbde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23248",
    "kind": "arxiv",
    "version": 1
  }
}