Pith Number

pith:6IVKALZ5

pith:2019:6IVKALZ5LXPSPC6WGANS2OH5WJ

not attested not anchored not stored refs pending

$L^1$-Poincar\'e and Sobolev inequalities for differential forms in Euclidean spaces

Annalisa Baldi, Bruno Franchi, Pierre Pansu

arxiv:1902.10138 v1 · 2019-02-26 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IVKALZ5LXPSPC6WGANS2OH5WJ}

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	2026-05-17T23:52:31.615177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f22aa02f3d5ddf278bd6301b2d38fdb2495473a9414e8baa34149224fd6f0c07

Aliases

arxiv: 1902.10138 · arxiv_version: 1902.10138v1 · doi: 10.48550/arxiv.1902.10138 · pith_short_12: 6IVKALZ5LXPS · pith_short_16: 6IVKALZ5LXPSPC6W · pith_short_8: 6IVKALZ5

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/6IVKALZ5LXPSPC6WGANS2OH5WJ \
  | 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: f22aa02f3d5ddf278bd6301b2d38fdb2495473a9414e8baa34149224fd6f0c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd466aea62e398d35214d68afb680a348544df6fc8ab10b1fcb5285d3cd8360",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-02-26T14:42:25Z",
    "title_canon_sha256": "3de01cec1d42bf7b9d8c2ee0d9c2e3e76ee985f9d1d287a0033547940395a0c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10138",
    "kind": "arxiv",
    "version": 1
  }
}