Pith Number

pith:PEFNMSGK

pith:2010:PEFNMSGK367TWFLH6TNGNEDFXI

not attested not anchored not stored refs pending

Positive ground state solutions for the critical Klein-Gordon-Maxwell system with potentials

Olimpio H. Miyagaki, Patricia L. Cunha, Paulo C. Carriao

arxiv:1005.4088 v3 · 2010-05-21 · 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{PEFNMSGK367TWFLH6TNGNEDFXI}

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	2026-05-18T04:00:38.190902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

790ad648cadfbf3b1567f4da669065ba1720967a60bd4950033a746c0f6000d2

Aliases

arxiv: 1005.4088 · arxiv_version: 1005.4088v3 · doi: 10.48550/arxiv.1005.4088 · pith_short_12: PEFNMSGK367T · pith_short_16: PEFNMSGK367TWFLH · pith_short_8: PEFNMSGK

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/PEFNMSGK367TWFLH6TNGNEDFXI \
  | 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: 790ad648cadfbf3b1567f4da669065ba1720967a60bd4950033a746c0f6000d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6fad69dc93fb50c558720c42b90ce96f629f598d1402e036f878252346ad29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-21T21:37:39Z",
    "title_canon_sha256": "fb1ea6c24559e9943031df0d6220389152fd52c38f90132ece6dbdf28da5d892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4088",
    "kind": "arxiv",
    "version": 3
  }
}