Pith Number

pith:C6KFPJDZ

pith:2010:C6KFPJDZ4L2GRLTTZV4SCI6SEA

not attested not anchored not stored refs pending

Existence and a priori bounds for electrostatic Klein-Gordon-Maxwell systems in fully inhomogeneous spaces

Emmanuel Hebey, Olivier Druet

arxiv:1012.3715 v1 · 2010-12-16 · 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{C6KFPJDZ4L2GRLTTZV4SCI6SEA}

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	2026-05-18T04:33:05.801424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179457a479e2f468ae73cd792123d22031c726ef583d943acc55d2e7a7bc3734

Aliases

arxiv: 1012.3715 · arxiv_version: 1012.3715v1 · doi: 10.48550/arxiv.1012.3715 · pith_short_12: C6KFPJDZ4L2G · pith_short_16: C6KFPJDZ4L2GRLTT · pith_short_8: C6KFPJDZ

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/C6KFPJDZ4L2GRLTTZV4SCI6SEA \
  | 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: 179457a479e2f468ae73cd792123d22031c726ef583d943acc55d2e7a7bc3734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04184d97e70b59fe9becb0d2bd28c55c91fbf628aad04b98156650338e7a7e80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-16T18:47:12Z",
    "title_canon_sha256": "39c40790ab1513a00e7377155c6f6f6282f58f26edecd6ddc4232402edc43ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3715",
    "kind": "arxiv",
    "version": 1
  }
}