Pith Number

pith:4KLJPYYS

pith:2015:4KLJPYYSEIYOAUKHPKKXOABK6K

not attested not anchored not stored refs pending

On the role of gradient terms in quasilinear coercive differential inequalities on Carnot Groups

Guglielmo Albanese, Luciano Mari, Marco Rigoli

arxiv:1505.05544 v1 · 2015-05-20 · 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{4KLJPYYSEIYOAUKHPKKXOABK6K}

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	2026-05-18T02:03:54.265231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29697e3122230e051477a9577002af29d3cecf087bc8e00361bb7c35076f3bf

Aliases

arxiv: 1505.05544 · arxiv_version: 1505.05544v1 · doi: 10.48550/arxiv.1505.05544 · pith_short_12: 4KLJPYYSEIYO · pith_short_16: 4KLJPYYSEIYOAUKH · pith_short_8: 4KLJPYYS

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/4KLJPYYSEIYOAUKHPKKXOABK6K \
  | 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: e29697e3122230e051477a9577002af29d3cecf087bc8e00361bb7c35076f3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471978f78808ad751981de5df385eaa91c5622ec651d28873808b73817704c88",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-20T21:55:05Z",
    "title_canon_sha256": "5fb8c8321eb69ca98fbc623529c6fd1017a26458287a32ab55425cead8d437e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05544",
    "kind": "arxiv",
    "version": 1
  }
}