Pith Number

pith:7UVQACCF

pith:2015:7UVQACCF3QQVDVVTDI5BNZPQYK

not attested not anchored not stored refs pending

Hausdorff volume in non equiregular sub-Riemannian manifolds

Fr\'ed\'eric Jean, Roberta Ghezzi

arxiv:1501.05342 v2 · 2015-01-21 · 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{7UVQACCF3QQVDVVTDI5BNZPQYK}

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	2026-05-18T01:37:47.303452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2b000845dc2151d6b31a3a16e5f0c284f9383a5695f65399ac00b6de8f42a7

Aliases

arxiv: 1501.05342 · arxiv_version: 1501.05342v2 · doi: 10.48550/arxiv.1501.05342 · pith_short_12: 7UVQACCF3QQV · pith_short_16: 7UVQACCF3QQVDVVT · pith_short_8: 7UVQACCF

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/7UVQACCF3QQVDVVTDI5BNZPQYK \
  | 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: fd2b000845dc2151d6b31a3a16e5f0c284f9383a5695f65399ac00b6de8f42a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e522884cb1baa35458b6fc846209f87cb002ef55472d45125ca39291786b99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-01-21T22:06:03Z",
    "title_canon_sha256": "fad1cec4aa993924cf54ee0142fa773742ed9cfeeeb72680e1e0220a51a44fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05342",
    "kind": "arxiv",
    "version": 2
  }
}