Pith Number

pith:HK5CR5HC

pith:2015:HK5CR5HCANMPMREATR37HSQPZG

not attested not anchored not stored refs pending

Monotonicity in half-spaces of positive solutions to $-\Delta_p u=f(u)$ in the case $p>2$

Alberto Farina, Berardino Sciunzi, Luigi Montoro

arxiv:1509.03897 v1 · 2015-09-13 · 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{HK5CR5HCANMPMREATR37HSQPZG}

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	2026-05-18T01:33:08.785195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aba28f4e20358f644809c77f3ca0fc990a14b0da0fe2679116ad35ea75a2e6b

Aliases

arxiv: 1509.03897 · arxiv_version: 1509.03897v1 · doi: 10.48550/arxiv.1509.03897 · pith_short_12: HK5CR5HCANMP · pith_short_16: HK5CR5HCANMPMREA · pith_short_8: HK5CR5HC

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/HK5CR5HCANMPMREATR37HSQPZG \
  | 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: 3aba28f4e20358f644809c77f3ca0fc990a14b0da0fe2679116ad35ea75a2e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a35c1ab44ac38a6e64173acafcb185ebf17ce54c07a42f4552124f7c9d046d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-13T20:40:08Z",
    "title_canon_sha256": "90a5329d1e8c11c0dac53ed4b5e4316af43b2f7ed2e0d30c7b498432a063e4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03897",
    "kind": "arxiv",
    "version": 1
  }
}