Pith Number

pith:PLB3ORYU

pith:2016:PLB3ORYUGPJQQPGGVVUB3BXW4X

not attested not anchored not stored refs pending

Gradient $L^q$ theory for a class of nondiagonal elliptic systems

Martin Kalousek, Miroslav Bul\'i\v{c}ek, Petr Kaplick\'y, V\'aclav M\'acha

arxiv:1603.04600 v2 · 2016-03-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLB3ORYUGPJQQPGGVVUB3BXW4X}

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	2026-05-18T01:12:22.537823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac3b7471433d3083cc6ad681d86f6e5f39f07ee7e5116f286a53c63cc0a8958

Aliases

arxiv: 1603.04600 · arxiv_version: 1603.04600v2 · doi: 10.48550/arxiv.1603.04600 · pith_short_12: PLB3ORYUGPJQ · pith_short_16: PLB3ORYUGPJQQPGG · pith_short_8: PLB3ORYU

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/PLB3ORYUGPJQQPGGVVUB3BXW4X \
  | 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: 7ac3b7471433d3083cc6ad681d86f6e5f39f07ee7e5116f286a53c63cc0a8958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15967765e99314b9b4e87e389bba0dd9baa749b603708aca0062a81b834dea9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-15T09:12:28Z",
    "title_canon_sha256": "2b151e7fac6731af62513a6f13db094458aef3673f73e441bf92d86f612c5047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04600",
    "kind": "arxiv",
    "version": 2
  }
}