Pith Number

pith:RY7DCETL

pith:2013:RY7DCETL6NMCDTSSULTZUOT2BQ

not attested not anchored not stored refs pending

On a type of semi-sub-Riemannian connection on a sub-Riemannian manifold

Peibiao Zhao, Yanling Han

arxiv:1306.4250 v1 · 2013-06-18 · 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{RY7DCETL6NMCDTSSULTZUOT2BQ}

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	2026-05-18T03:20:36.666204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3e31126bf35821ce52a2e79a3a7a0c0548c2c76893e77bd4a51ff24eb925a7

Aliases

arxiv: 1306.4250 · arxiv_version: 1306.4250v1 · doi: 10.48550/arxiv.1306.4250 · pith_short_12: RY7DCETL6NMC · pith_short_16: RY7DCETL6NMCDTSS · pith_short_8: RY7DCETL

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/RY7DCETL6NMCDTSSULTZUOT2BQ \
  | 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: 8e3e31126bf35821ce52a2e79a3a7a0c0548c2c76893e77bd4a51ff24eb925a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f5ab9d9dd54ec85b758a99b31ec55d7e2e14cd1791efb788937f93e5fdf539",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-18T15:50:12Z",
    "title_canon_sha256": "dd726c34fd6d0d9db49aa4c90a0816ae2532fb1051242492703ed8aa19180f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4250",
    "kind": "arxiv",
    "version": 1
  }
}