Pith Number

pith:MC7HQT46

pith:2008:MC7HQT46K6HK3OWKISLSFTL6DP

not attested not anchored not stored refs pending

Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane

Bruce Kleiner, Enrico Le Donne, Luigi Ambrosio

arxiv:0801.3741 v2 · 2008-01-24 · math.AP · math.DG · math.GR · 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{MC7HQT46K6HK3OWKISLSFTL6DP}

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	2026-05-18T01:20:50.940682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60be784f9e578eadbaca449722cd7e1bede04a8845b24ffe5a17c4370fb6acf6

Aliases

arxiv: 0801.3741 · arxiv_version: 0801.3741v2 · doi: 10.48550/arxiv.0801.3741 · pith_short_12: MC7HQT46K6HK · pith_short_16: MC7HQT46K6HK3OWK · pith_short_8: MC7HQT46

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/MC7HQT46K6HK3OWKISLSFTL6DP \
  | 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: 60be784f9e578eadbaca449722cd7e1bede04a8845b24ffe5a17c4370fb6acf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f019ba8cee12dbcd64ef9f4e55145de6f95f381d54f2068611e85d37b9b4e0",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-01-24T13:48:52Z",
    "title_canon_sha256": "984c2e8b31508d23ee19784700e65ffa741e3fa7f00f4dc720b6d8e216aea877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3741",
    "kind": "arxiv",
    "version": 2
  }
}