Pith Number

pith:2QBQGGWF

pith:2009:2QBQGGWF6N5SEKTT23MTXE3ETX

not attested not anchored not stored refs pending

Connections and Curvature in sub-Riemannian geometry

Robert K. Hladky

arxiv:0912.3535 v2 · 2009-12-17 · 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{2QBQGGWF6N5SEKTT23MTXE3ETX}

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	2026-05-18T04:24:36.357881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d403031ac5f37b222a73d6d93b93649dc82f070ca4a3fb406a02078586c3fa0c

Aliases

arxiv: 0912.3535 · arxiv_version: 0912.3535v2 · doi: 10.48550/arxiv.0912.3535 · pith_short_12: 2QBQGGWF6N5S · pith_short_16: 2QBQGGWF6N5SEKTT · pith_short_8: 2QBQGGWF

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/2QBQGGWF6N5SEKTT23MTXE3ETX \
  | 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: d403031ac5f37b222a73d6d93b93649dc82f070ca4a3fb406a02078586c3fa0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e786f111f09345b36c8ed473eec3c95f7d2c881b9fa677db7a03adf74b62845e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-17T21:11:00Z",
    "title_canon_sha256": "fa149e4c2e042f5050a03dd20667ea30c08ea9bc15b34933f42fe1cfde8d9ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3535",
    "kind": "arxiv",
    "version": 2
  }
}