Pith Number

pith:W5YMLMNC

pith:2025:W5YMLMNCOIIQMXI7B5QMY5CA2B

not attested not anchored not stored refs pending

Intrinsic perimeter, compactness and Poincar\'e inequality for SBV functions in Carnot-Carath\'eodory spaces

Marco Di Marco

arxiv:2510.19380 v2 · 2025-10-22 · math.FA · math.CA · 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{W5YMLMNCOIIQMXI7B5QMY5CA2B}

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	2026-06-19T16:10:31.607212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b770c5b1a27211065d1f0f60cc7440d07a6cfe98b24d6bb0b3c4a702c93cd8ab

Aliases

arxiv: 2510.19380 · arxiv_version: 2510.19380v2 · doi: 10.48550/arxiv.2510.19380 · pith_short_12: W5YMLMNCOIIQ · pith_short_16: W5YMLMNCOIIQMXI7 · pith_short_8: W5YMLMNC

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/W5YMLMNCOIIQMXI7B5QMY5CA2B \
  | 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: b770c5b1a27211065d1f0f60cc7440d07a6cfe98b24d6bb0b3c4a702c93cd8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbc437b63370406a16b3b6ce59ee95327ef260d4d3e6047e0f51648a57c1309",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-10-22T08:53:47Z",
    "title_canon_sha256": "dbef77040ce083a6f5da1d2cad8387a64f66205458ef6744efb45e4b327bdc24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.19380",
    "kind": "arxiv",
    "version": 2
  }
}