Pith Number

pith:NRJH4SCQ

pith:2015:NRJH4SCQUDP634X2YVKUQQCFYD

not attested not anchored not stored refs pending

Functional Inequalities in Stratified Lie groups with Sobolev, Besov, Lorentz and Morrey spaces

Anca-Nicoleta Marcoci, Diego Chamorro (LaMME), Liviu-Gabriel Marcoci

arxiv:1505.05986 v3 · 2015-05-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRJH4SCQUDP634X2YVKUQQCFYD}

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	2026-05-17T23:58:15.307251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c527e4850a0dfedf2fac555484045c0e749df1290fbfce3a0252c9be1379fa9

Aliases

arxiv: 1505.05986 · arxiv_version: 1505.05986v3 · doi: 10.48550/arxiv.1505.05986 · pith_short_12: NRJH4SCQUDP6 · pith_short_16: NRJH4SCQUDP634X2 · pith_short_8: NRJH4SCQ

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/NRJH4SCQUDP634X2YVKUQQCFYD \
  | 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: 6c527e4850a0dfedf2fac555484045c0e749df1290fbfce3a0252c9be1379fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beec7a5a964b8909723ef04fda81a9e008ab6d34ba49898adb919deb78f83b10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-22T08:37:37Z",
    "title_canon_sha256": "fe35adbe408e677505d0cfc9e1ebd10f99c4d681c8545645d82aff9d3d460fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05986",
    "kind": "arxiv",
    "version": 3
  }
}