Pith Number

pith:2WLMBKJ5

pith:2011:2WLMBKJ5T4GXUXLCM4Z5CFKOCC

not attested not anchored not stored refs pending

A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions

Gisella Croce (LMAH), Lucio Boccardo, Luigi Orsina

arxiv:1107.1132 v1 · 2011-07-06 · 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{2WLMBKJ5T4GXUXLCM4Z5CFKOCC}

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	2026-05-18T04:18:45.521121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d596c0a93d9f0d7a5d626733d1154e10bc8670e67aa3f11054b22d9fc44d4bea

Aliases

arxiv: 1107.1132 · arxiv_version: 1107.1132v1 · doi: 10.48550/arxiv.1107.1132 · pith_short_12: 2WLMBKJ5T4GX · pith_short_16: 2WLMBKJ5T4GXUXLC · pith_short_8: 2WLMBKJ5

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/2WLMBKJ5T4GXUXLCM4Z5CFKOCC \
  | 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: d596c0a93d9f0d7a5d626733d1154e10bc8670e67aa3f11054b22d9fc44d4bea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c99fb27b4088cf36b2cd744238c6fbd182c039715d7cb9be7264a7d51fff15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-06T13:54:07Z",
    "title_canon_sha256": "71d42a1c1c5676059d0a9ed200077ebf297f991f81e25e3fb414895cfa45fbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1132",
    "kind": "arxiv",
    "version": 1
  }
}