Pith Number

pith:357CVIMX

pith:2016:357CVIMXDZIIG7NC4IFOFOPZSA

not attested not anchored not stored refs pending

Sobolev homeomorphisms with gradients of low rank via laminates

Carlos Mora-Corral, Daniel Faraco, Marcos Oliva

arxiv:1603.04047 v1 · 2016-03-13 · 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{357CVIMXDZIIG7NC4IFOFOPZSA}

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	2026-05-18T01:19:09.576112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7e2aa1971e50837da2e20ae2b9f99014e55892f05bb581f282be5138e84694

Aliases

arxiv: 1603.04047 · arxiv_version: 1603.04047v1 · doi: 10.48550/arxiv.1603.04047 · pith_short_12: 357CVIMXDZII · pith_short_16: 357CVIMXDZIIG7NC · pith_short_8: 357CVIMX

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/357CVIMXDZIIG7NC4IFOFOPZSA \
  | 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: df7e2aa1971e50837da2e20ae2b9f99014e55892f05bb581f282be5138e84694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c16036828f8b14221d1a24a01bd3a749b1be018f23f5983fd71c9171ab4e911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-13T16:30:31Z",
    "title_canon_sha256": "9c657b3ad5f4d1ad3eb219df60cb9c5c150c77191ce00ffcc93e90504e03c80c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04047",
    "kind": "arxiv",
    "version": 1
  }
}