Pith Number

pith:M7NPAGL3

pith:2012:M7NPAGL3GOFY3JEU37BTAV4ZK7

not attested not anchored not stored refs pending

Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations

Gabriele Grillo, Juan Luis Vazquez, Matteo Bonforte

arxiv:1201.5801 v1 · 2012-01-27 · 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{M7NPAGL3GOFY3JEU37BTAV4ZK7}

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	2026-05-18T04:03:44.487453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67daf0197b338b8da494dfc330579957fe96bc22f99df512e2b8d6edee4def75

Aliases

arxiv: 1201.5801 · arxiv_version: 1201.5801v1 · doi: 10.48550/arxiv.1201.5801 · pith_short_12: M7NPAGL3GOFY · pith_short_16: M7NPAGL3GOFY3JEU · pith_short_8: M7NPAGL3

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/M7NPAGL3GOFY3JEU37BTAV4ZK7 \
  | 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: 67daf0197b338b8da494dfc330579957fe96bc22f99df512e2b8d6edee4def75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53494f22aa9ff22a5e3d3e91d12facfd09e90911d1403dd63e778dd89240a960",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-27T15:41:23Z",
    "title_canon_sha256": "62221a79d3d1f712a8a38fa58b1a5cc39d54332dbccf8ba90ca103fd51b92b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5801",
    "kind": "arxiv",
    "version": 1
  }
}