Pith Number

pith:Z5M3TXMH

pith:2017:Z5M3TXMHHL75PDM44LWQ3V77I4

not attested not anchored not stored refs pending

Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schr\"odinger equations

Giovany M. Figueiredo, Jo\~ao Marcos do \'O, Jos\'e Carlos de Albuquerque

arxiv:1710.07856 v2 · 2017-10-21 · 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{Z5M3TXMHHL75PDM44LWQ3V77I4}

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	2026-05-18T00:14:22.252384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf59b9dd873affd78d9ce2ed0dd7ff4730a9ef75ad143336e86a905d631b7d96

Aliases

arxiv: 1710.07856 · arxiv_version: 1710.07856v2 · doi: 10.48550/arxiv.1710.07856 · pith_short_12: Z5M3TXMHHL75 · pith_short_16: Z5M3TXMHHL75PDM4 · pith_short_8: Z5M3TXMH

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/Z5M3TXMHHL75PDM44LWQ3V77I4 \
  | 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: cf59b9dd873affd78d9ce2ed0dd7ff4730a9ef75ad143336e86a905d631b7d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7224386588e11c3f7609797ef8ed87abea238b8a2a5676fd654fc33de29c5cf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-21T22:06:28Z",
    "title_canon_sha256": "a5bd4b5a8a2f109fe5c04524640c3c80ada29ccb9017ca97741f818689b94d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07856",
    "kind": "arxiv",
    "version": 2
  }
}