Pith Number

pith:KLJ26LN3

pith:2015:KLJ26LN3PHHV3D5KHAKZHOAOOZ

not attested not anchored not stored refs pending

Hypoelliptic Diffusion Maps I: Tangent Bundles

Tingran Gao

arxiv:1503.05459 v1 · 2015-03-17 · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLJ26LN3PHHV3D5KHAKZHOAOOZ}

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	2026-05-18T02:21:50.369556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d3af2dbb79cf5d8faa381593b80e76583216987b02f4a4c803984fa6c46200

Aliases

arxiv: 1503.05459 · arxiv_version: 1503.05459v1 · doi: 10.48550/arxiv.1503.05459 · pith_short_12: KLJ26LN3PHHV · pith_short_16: KLJ26LN3PHHV3D5K · pith_short_8: KLJ26LN3

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/KLJ26LN3PHHV3D5KHAKZHOAOOZ \
  | 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: 52d3af2dbb79cf5d8faa381593b80e76583216987b02f4a4c803984fa6c46200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26a975ea22846bf08f6e5a414956281561fc4952019416e7b8659ca142da161",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-03-17T03:36:50Z",
    "title_canon_sha256": "0822d24e2ad9e9171b44128e5e76c09ae6267fd429e5847b1daed0f9e08d27bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05459",
    "kind": "arxiv",
    "version": 1
  }
}