Pith Number

pith:35GU7PBJ

pith:2026:35GU7PBJUX4QQX7PX3LH2BY4DG

not attested not anchored not stored refs pending

Quantization of measures in Carnot groups

Marco Di Marco, Mikaela Iacobelli

arxiv:2606.09373 v1 · 2026-06-08 · math.MG · math.CA · math.DG · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35GU7PBJUX4QQX7PX3LH2BY4DG}

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	2026-06-09T02:08:18.496729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df4d4fbc29a5f9085fefbed67d071c199f9aa89ba585432d93c4ff7c23fc02c5

Aliases

arxiv: 2606.09373 · arxiv_version: 2606.09373v1 · doi: 10.48550/arxiv.2606.09373 · pith_short_12: 35GU7PBJUX4Q · pith_short_16: 35GU7PBJUX4QQX7P · pith_short_8: 35GU7PBJ

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/35GU7PBJUX4QQX7PX3LH2BY4DG \
  | 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: df4d4fbc29a5f9085fefbed67d071c199f9aa89ba585432d93c4ff7c23fc02c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde122d941a42c1d29d28369d9eceb899875c5b775ca7e4522d8e5c62e058ae0",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-08T11:54:55Z",
    "title_canon_sha256": "9793b6c6727adf9be03b10c09f69afa594eefb901e755e16aa60e36e827402a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09373",
    "kind": "arxiv",
    "version": 1
  }
}