Pith Number

pith:LGKU4UZN

pith:2013:LGKU4UZNFL365GS2ILDPCXOLGZ

not attested not anchored not stored refs pending

Global gradient estimates for the $p(\cdot)$-Laplacian

Lars Diening, Sebastian Schwarzacher

arxiv:1312.5570 v1 · 2013-12-19 · 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{LGKU4UZNFL365GS2ILDPCXOLGZ}

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	2026-05-18T03:04:14.515160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59954e532d2af7ee9a5a42c6f15dcb364aa18358de34c3240b3b201bc15a71c1

Aliases

arxiv: 1312.5570 · arxiv_version: 1312.5570v1 · doi: 10.48550/arxiv.1312.5570 · pith_short_12: LGKU4UZNFL36 · pith_short_16: LGKU4UZNFL365GS2 · pith_short_8: LGKU4UZN

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/LGKU4UZNFL365GS2ILDPCXOLGZ \
  | 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: 59954e532d2af7ee9a5a42c6f15dcb364aa18358de34c3240b3b201bc15a71c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e056392af8c2fd29fb47ab06f421070180cbf7bc167a8f5262b86f9fb52b3bda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-19T14:52:16Z",
    "title_canon_sha256": "35b03e1592b42e60b81b8fab616e17bb99ff872410cf138cde38f2a8c4bc0872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5570",
    "kind": "arxiv",
    "version": 1
  }
}