Pith Number

pith:W45QHFGF

pith:2019:W45QHFGF4SHYX2T7B6CA4SFZLM

not attested not anchored not stored refs pending

Almost optimal local well-posedness for the Maxwell-Klein-Gordon system with data in Fourier-Lebesgue spaces

Hartmut Pecher

arxiv:1908.05651 v3 · 2019-08-15 · 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{W45QHFGF4SHYX2T7B6CA4SFZLM}

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	2026-07-05T00:18:26.820109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73b0394c5e48f8bea7f0f840e48b95b38981afeee7271c7fe981197598bb482

Aliases

arxiv: 1908.05651 · arxiv_version: 1908.05651v3 · doi: 10.48550/arxiv.1908.05651 · pith_short_12: W45QHFGF4SHY · pith_short_16: W45QHFGF4SHYX2T7 · pith_short_8: W45QHFGF

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/W45QHFGF4SHYX2T7B6CA4SFZLM \
  | 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: b73b0394c5e48f8bea7f0f840e48b95b38981afeee7271c7fe981197598bb482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c7beeae1b6928a74dff23d809135a6ce2d26a06aca7967033ecb17766e81e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-15T17:48:04Z",
    "title_canon_sha256": "611f14e8f023221e534dba82d2e360a4cdac378424cfa16cbe00a0c50d0b419f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05651",
    "kind": "arxiv",
    "version": 3
  }
}