Pith Number

pith:U2OZ2ZQN

pith:2016:U2OZ2ZQN6LRNILXUU3VW3W4NDA

not attested not anchored not stored refs pending

Bi-Sobolev homeomorphisms $f$ with $Df$ and $Df^{-1}$ of low rank using laminates

Marcos Oliva

arxiv:1607.02972 v1 · 2016-07-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2OZ2ZQN6LRNILXUU3VW3W4NDA}

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	2026-05-18T01:11:14.264324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69d9d660df2e2d42ef4a6eb6ddb8d180532780203984722c54e37be01d08a70

Aliases

arxiv: 1607.02972 · arxiv_version: 1607.02972v1 · doi: 10.48550/arxiv.1607.02972 · pith_short_12: U2OZ2ZQN6LRN · pith_short_16: U2OZ2ZQN6LRNILXU · pith_short_8: U2OZ2ZQN

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/U2OZ2ZQN6LRNILXUU3VW3W4NDA \
  | 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: a69d9d660df2e2d42ef4a6eb6ddb8d180532780203984722c54e37be01d08a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9541a55fd5a6d9741eed36c26eba180f27696a745531d7fbc2e647480585165c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-11T14:26:32Z",
    "title_canon_sha256": "cf1b54ba5fd5ab188487f034b987ff1a79b8ad653deeb021513f9dafab41e48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02972",
    "kind": "arxiv",
    "version": 1
  }
}