Pith Number

pith:MRWGOO2C

pith:2014:MRWGOO2CZKHCTRXBNJK35J2JML

not attested not anchored not stored refs pending

A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three

Khadim War, Sina Tureli, Stefano Luzzatto

arxiv:1411.5896 v5 · 2014-11-21 · math.DG · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRWGOO2CZKHCTRXBNJK35J2JML}

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	2026-05-18T01:17:25.958499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646c673b42ca8e29c6e16a55bea74962ec0696be99968900bcbb60f84cee670d

Aliases

arxiv: 1411.5896 · arxiv_version: 1411.5896v5 · doi: 10.48550/arxiv.1411.5896 · pith_short_12: MRWGOO2CZKHC · pith_short_16: MRWGOO2CZKHCTRXB · pith_short_8: MRWGOO2C

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/MRWGOO2CZKHCTRXBNJK35J2JML \
  | 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: 646c673b42ca8e29c6e16a55bea74962ec0696be99968900bcbb60f84cee670d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4d12a9a5514a9ac0b200961a80de58f1692bb8463d8e2b862274d4eccc2f4f",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-21T14:56:12Z",
    "title_canon_sha256": "2aa772197cf2b0370acab7581d9fa1f68ea8d3672a2fc2a9293e5ef3b9d8192b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5896",
    "kind": "arxiv",
    "version": 5
  }
}