Pith Number

pith:XOWQSHQH

pith:2017:XOWQSHQHSU433URPO53V27ZZTI

not attested not anchored not stored refs pending

A Liouville theorem for the $p$-Laplacian and related questions

Alberto Farina, Carlo Mercuri, Michel Willem

arxiv:1711.11552 v3 · 2017-11-30 · 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{XOWQSHQHSU433URPO53V27ZZTI}

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	2026-05-17T23:41:37.313230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbad091e079539bdd22f77775d7f399a1daa37652ae1ee2ccc3c0c118e0a13d3

Aliases

arxiv: 1711.11552 · arxiv_version: 1711.11552v3 · doi: 10.48550/arxiv.1711.11552 · pith_short_12: XOWQSHQHSU43 · pith_short_16: XOWQSHQHSU433URP · pith_short_8: XOWQSHQH

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/XOWQSHQHSU433URPO53V27ZZTI \
  | 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: bbad091e079539bdd22f77775d7f399a1daa37652ae1ee2ccc3c0c118e0a13d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e9852aa8b238938c3afa0bb480c09e67ca362f5d52dfb2a4742e137a0d37e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-30T18:17:58Z",
    "title_canon_sha256": "c388e0f8d6478384745d912cd8ef26023a8912207ec57d751a13ff91ee45d4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11552",
    "kind": "arxiv",
    "version": 3
  }
}