Pith Number

pith:4GJJG7BG

pith:2012:4GJJG7BGTNXK2THLUKFXIS7T7Q

not attested not anchored not stored refs pending

Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term

Amal Attouchi

arxiv:1209.5023 v2 · 2012-09-22 · 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{4GJJG7BGTNXK2THLUKFXIS7T7Q}

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	2026-05-18T02:42:29.201445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e192937c269b6ead4ceba28b744bf3fc170e5ef927277d6c6608da94b4958d38

Aliases

arxiv: 1209.5023 · arxiv_version: 1209.5023v2 · doi: 10.48550/arxiv.1209.5023 · pith_short_12: 4GJJG7BGTNXK · pith_short_16: 4GJJG7BGTNXK2THL · pith_short_8: 4GJJG7BG

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/4GJJG7BGTNXK2THLUKFXIS7T7Q \
  | 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: e192937c269b6ead4ceba28b744bf3fc170e5ef927277d6c6608da94b4958d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbd6555e53febf3d8cde28f65c6204c32bcd4658e12582e024407b0c4b5dbe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-22T22:08:11Z",
    "title_canon_sha256": "2cc432d05eda8ea96dc0c382666ea9724fce5421d16cead10c80cc2d6ff18e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5023",
    "kind": "arxiv",
    "version": 2
  }
}