Pith Number

pith:HIDDOYNW

pith:2009:HIDDOYNWN62KAXWITLJXXBMF7N

not attested not anchored not stored refs pending

Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents

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

arxiv:0909.2895 v1 · 2009-09-16 · 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{HIDDOYNWN62KAXWITLJXXBMF7N}

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	2026-05-18T03:10:56.178369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a063761b66fb4a05ec89ad37b8585fb55277f41445bccbd3badc5d9261c496b

Aliases

arxiv: 0909.2895 · arxiv_version: 0909.2895v1 · doi: 10.48550/arxiv.0909.2895 · pith_short_12: HIDDOYNWN62K · pith_short_16: HIDDOYNWN62KAXWI · pith_short_8: HIDDOYNW

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/HIDDOYNWN62KAXWITLJXXBMF7N \
  | 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: 3a063761b66fb4a05ec89ad37b8585fb55277f41445bccbd3badc5d9261c496b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "955dbaa049fffaae49313a09b3cfd5dab4a0118df5e9033b2232cea581468a3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-09-16T17:53:41Z",
    "title_canon_sha256": "ab909b4f3360bdaf2c009827e7ba12e9b799ca4230214a33c64d65d230cba3a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2895",
    "kind": "arxiv",
    "version": 1
  }
}