Pith Number

pith:H36GQRER

pith:2014:H36GQRERUEG6H35E4W27ASIB4C

not attested not anchored not stored refs pending

The Liouville theorems for elliptic equations with nonstandard growth

Przemys{\l}aw G\'orka, Tomasz Adamowicz

arxiv:1408.6359 v1 · 2014-08-27 · 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{H36GQRERUEG6H35E4W27ASIB4C}

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	2026-05-18T02:44:07.660235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3efc684491a10de3efa4e5b5f04901e0ae603c3026fe9e0c67deb2d08bb99671

Aliases

arxiv: 1408.6359 · arxiv_version: 1408.6359v1 · doi: 10.48550/arxiv.1408.6359 · pith_short_12: H36GQRERUEG6 · pith_short_16: H36GQRERUEG6H35E · pith_short_8: H36GQRER

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/H36GQRERUEG6H35E4W27ASIB4C \
  | 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: 3efc684491a10de3efa4e5b5f04901e0ae603c3026fe9e0c67deb2d08bb99671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b313c25ce057737088a6d5860235338a2b908dcd1d010cf1ed248eefadb1c3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-27T09:14:30Z",
    "title_canon_sha256": "9a0478e6317cb64e2c10366e0bb27560813336d63ebc7b0b9adce87d8ca682bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6359",
    "kind": "arxiv",
    "version": 1
  }
}