Pith Number

pith:P44CALC2

pith:2011:P44CALC2UFNNPRF3FAALRIXNIA

not attested not anchored not stored refs pending

The Area Formula for Lipschitz Mappings of Carnot--Carath\'{e}odory Spaces

Maria Karmanova

arxiv:1110.5483 v1 · 2011-10-25 · 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{P44CALC2UFNNPRF3FAALRIXNIA}

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	2026-05-18T04:10:22.817393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f38202c5aa15ad7c4bb2800b8a2ed403f4a21e1be9163ed63909ab78b7d0d9a

Aliases

arxiv: 1110.5483 · arxiv_version: 1110.5483v1 · doi: 10.48550/arxiv.1110.5483 · pith_short_12: P44CALC2UFNN · pith_short_16: P44CALC2UFNNPRF3 · pith_short_8: P44CALC2

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/P44CALC2UFNNPRF3FAALRIXNIA \
  | 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: 7f38202c5aa15ad7c4bb2800b8a2ed403f4a21e1be9163ed63909ab78b7d0d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc8fa25db1c9c4c100c27e4b97f2dda7fbf88d897b0b7aea210b58ba0f3d6fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-25T12:39:56Z",
    "title_canon_sha256": "949f580e4e906186de63cd62850ed2e5fef6b9a9f69a1356d9887005ac781be0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5483",
    "kind": "arxiv",
    "version": 1
  }
}