Pith Number

pith:VBB6RJ7V

pith:2013:VBB6RJ7VGH7EGKWLHGXTNCZCQ7

not attested not anchored not stored refs pending

Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds

Fr\'ed\'eric Jean (UMA), Roberta Ghezzi (SNS)

arxiv:1301.3682 v1 · 2013-01-16 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBB6RJ7VGH7EGKWLHGXTNCZCQ7}

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	2026-05-18T03:36:17.051502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a843e8a7f531fe432acb39af368b2287d166ee602174205df137750e932789a9

Aliases

arxiv: 1301.3682 · arxiv_version: 1301.3682v1 · doi: 10.48550/arxiv.1301.3682 · pith_short_12: VBB6RJ7VGH7E · pith_short_16: VBB6RJ7VGH7EGKWL · pith_short_8: VBB6RJ7V

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/VBB6RJ7VGH7EGKWLHGXTNCZCQ7 \
  | 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: a843e8a7f531fe432acb39af368b2287d166ee602174205df137750e932789a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "170afb7f4647d674b40b54959078745eb2eef81205c2387504bbf2f64e0239f6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-16T13:05:00Z",
    "title_canon_sha256": "c4319469be3c3cbbd8b587d614acc72b68375585540eab1835b9bb472d3c7aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3682",
    "kind": "arxiv",
    "version": 1
  }
}