Pith Number

pith:CWWNRR6W

pith:2015:CWWNRR6WFRXTQ4JJ4WCK5UYZG4

not attested not anchored not stored refs pending

A mass transportation approach for Sobolev inequalities in variable exponent spaces

Anal\'ia Silva, Juan Pablo Borthagaray, Juli\'an Fern\'andez Bonder

arxiv:1503.02943 v1 · 2015-03-10 · 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{CWWNRR6WFRXTQ4JJ4WCK5UYZG4}

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	2026-05-18T02:25:12.683360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15acd8c7d62c6f387129e584aed319373b491ade058649d513d7f4df641bb4b6

Aliases

arxiv: 1503.02943 · arxiv_version: 1503.02943v1 · doi: 10.48550/arxiv.1503.02943 · pith_short_12: CWWNRR6WFRXT · pith_short_16: CWWNRR6WFRXTQ4JJ · pith_short_8: CWWNRR6W

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/CWWNRR6WFRXTQ4JJ4WCK5UYZG4 \
  | 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: 15acd8c7d62c6f387129e584aed319373b491ade058649d513d7f4df641bb4b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c506cd9e28a64da31528f9358c35eafa717fb28a3dfd3ffefd1c4f1a6ba3384",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-10T15:01:31Z",
    "title_canon_sha256": "5669d6dc1ed8e05e95afdafc46eecc777266574760cf81154790db05301a3dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02943",
    "kind": "arxiv",
    "version": 1
  }
}