Pith Number

pith:5BUT5J5G

pith:2017:5BUT5J5GPOP3A4QVOUZS7O7YCO

not attested not anchored not stored refs pending

Elliptic equations involving the $p$-Laplacian and a gradient term having natural growth

Djairo G. de Figueiredo, Humberto Ramos Quoirin, Jean-Pierre Gossez, Pedro Ubilla

arxiv:1701.02148 v1 · 2017-01-09 · 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{5BUT5J5GPOP3A4QVOUZS7O7YCO}

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	2026-05-18T00:53:11.565184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8693ea7a67b9fb0721575332fbbf813ade7c3c0ca57dab3ce31e396bd1250d0

Aliases

arxiv: 1701.02148 · arxiv_version: 1701.02148v1 · doi: 10.48550/arxiv.1701.02148 · pith_short_12: 5BUT5J5GPOP3 · pith_short_16: 5BUT5J5GPOP3A4QV · pith_short_8: 5BUT5J5G

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/5BUT5J5GPOP3A4QVOUZS7O7YCO \
  | 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: e8693ea7a67b9fb0721575332fbbf813ade7c3c0ca57dab3ce31e396bd1250d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a956116267f40a6fb1be1ea7e7fbd2454cc19f7aaa5ce45b5d58dbcf4b05ac2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-09T12:01:31Z",
    "title_canon_sha256": "69049c4411d337d45a0b5d8736c5cf615f84d3bb5ad483d7475d67dccc2102c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02148",
    "kind": "arxiv",
    "version": 1
  }
}