Pith Number

pith:EB5F6VFQ

pith:2010:EB5F6VFQLPRFOA4AMUQJ425KBW

not attested not anchored not stored refs pending

Equivalence of Viscosity and Weak Solutions for the $p(x)$-Laplacian

Mikko Parviainen, Petri Juutinen, Teemu Lukkari

arxiv:1006.3482 v1 · 2010-06-17 · 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{EB5F6VFQLPRFOA4AMUQJ425KBW}

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	2026-05-18T04:30:36.715406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

207a5f54b05be257038065209e6baa0db87273eedb683de1d81bd1ef11e07964

Aliases

arxiv: 1006.3482 · arxiv_version: 1006.3482v1 · doi: 10.48550/arxiv.1006.3482 · pith_short_12: EB5F6VFQLPRF · pith_short_16: EB5F6VFQLPRFOA4A · pith_short_8: EB5F6VFQ

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/EB5F6VFQLPRFOA4AMUQJ425KBW \
  | 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: 207a5f54b05be257038065209e6baa0db87273eedb683de1d81bd1ef11e07964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450ee69851c8f645bacab96f288604bbcb586de1f8bc29589cb673ce1734ac17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-17T14:41:11Z",
    "title_canon_sha256": "15996f86fd218f194ba3a9f0eabcd9d76d46666317964ae5cf088216c750f54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3482",
    "kind": "arxiv",
    "version": 1
  }
}