Pith Number

pith:JXESIKKS

pith:2015:JXESIKKSTSWQXN3U4PDGM3GRM7

not attested not anchored not stored refs pending

The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model

Philippe G. LeFloch, Yue Ma

arxiv:1507.01143 v2 · 2015-07-04 · math.AP · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXESIKKSTSWQXN3U4PDGM3GRM7}

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	2026-05-18T01:22:01.329755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc92429529cad0bb774e3c6666cd167c507c106ba39ca2aef82fbc41e8045b2

Aliases

arxiv: 1507.01143 · arxiv_version: 1507.01143v2 · doi: 10.48550/arxiv.1507.01143 · pith_short_12: JXESIKKSTSWQ · pith_short_16: JXESIKKSTSWQXN3U · pith_short_8: JXESIKKS

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/JXESIKKSTSWQXN3U4PDGM3GRM7 \
  | 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: 4dc92429529cad0bb774e3c6666cd167c507c106ba39ca2aef82fbc41e8045b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0137b41c6bcd57391f6a77d11707fc71780b652d5b44af1187ca33a5b9f591c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-04T20:52:50Z",
    "title_canon_sha256": "3a2dfa9c03e793d366ff076e52a1e825c9203479cbcdabde10e22b3c6fafbcd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01143",
    "kind": "arxiv",
    "version": 2
  }
}