Pith Number

pith:6QWDQK46

pith:2015:6QWDQK462SYUMJ4QTI65ICR3FI

not attested not anchored not stored refs pending

On integrability of certain rank 2 sub-Riemannian structures

Andreas Vollmer, Boris Kruglikov, Georgios Lukes-Gerakopoulos

arxiv:1507.03082 v2 · 2015-07-11 · math.DG · math.DS · math.OC · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QWDQK462SYUMJ4QTI65ICR3FI}

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	2026-05-18T00:33:27.905973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f42c382b9ed4b14627909a3dd40a3b2a0f13f8407dab7d9b737f3b540d5402ff

Aliases

arxiv: 1507.03082 · arxiv_version: 1507.03082v2 · doi: 10.48550/arxiv.1507.03082 · pith_short_12: 6QWDQK462SYU · pith_short_16: 6QWDQK462SYUMJ4Q · pith_short_8: 6QWDQK46

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/6QWDQK462SYUMJ4QTI65ICR3FI \
  | 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: f42c382b9ed4b14627909a3dd40a3b2a0f13f8407dab7d9b737f3b540d5402ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b5fe5bffc6f145bee22e185faa2fff9e5ee23d3038e9242864e6cfeeef4c07",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-11T09:30:29Z",
    "title_canon_sha256": "ba893d3e3a7d874875ef866210eb247ec3c640edb7e76e4bd25ad7e8aeee11a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03082",
    "kind": "arxiv",
    "version": 2
  }
}