Pith Number

pith:XZSXBCHE

pith:2012:XZSXBCHEQM7J7V6PJSP4A3AORD

not attested not anchored not stored refs pending

On the Spherical Hausdorff Measure in Step 2 Corank 2 sub-Riemannian Geometry

Jp Gauthier (LSIS), Ugo Boscain (CMAP)

arxiv:1210.2615 v1 · 2012-10-09 · 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{XZSXBCHEQM7J7V6PJSP4A3AORD}

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	2026-05-18T03:43:41.121250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be657088e4833e9fd7cf4c9fc06c0e88da70ee5a459d92b7e6f528a303906ae5

Aliases

arxiv: 1210.2615 · arxiv_version: 1210.2615v1 · doi: 10.48550/arxiv.1210.2615 · pith_short_12: XZSXBCHEQM7J · pith_short_16: XZSXBCHEQM7J7V6P · pith_short_8: XZSXBCHE

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/XZSXBCHEQM7J7V6PJSP4A3AORD \
  | 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: be657088e4833e9fd7cf4c9fc06c0e88da70ee5a459d92b7e6f528a303906ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756655006d52e525d00eb51d3048c4190492ce7b548847dd6fb080ba4b5b5f40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-09T14:31:53Z",
    "title_canon_sha256": "def25adda5140123484fc2f830c16b159a6eff5c92a7272db0f82fa2b4aa7509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2615",
    "kind": "arxiv",
    "version": 1
  }
}