Pith Number

pith:5AUUJ4CJ

pith:2015:5AUUJ4CJM3WLQANZMRHPLMB24M

not attested not anchored not stored refs pending

The global nonlinear stability of Minkowski space for self-gravitating massive fields

Philippe G. LeFloch, Yue Ma

arxiv:1511.03324 v4 · 2015-11-10 · gr-qc · 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{5AUUJ4CJM3WLQANZMRHPLMB24M}

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	2026-05-18T00:41:08.359657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82944f04966ecb801b9644ef5b03ae3155296060e4101e3bb223ad83c6202c0

Aliases

arxiv: 1511.03324 · arxiv_version: 1511.03324v4 · doi: 10.48550/arxiv.1511.03324 · pith_short_12: 5AUUJ4CJM3WL · pith_short_16: 5AUUJ4CJM3WLQANZ · pith_short_8: 5AUUJ4CJ

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/5AUUJ4CJM3WLQANZMRHPLMB24M \
  | 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: e82944f04966ecb801b9644ef5b03ae3155296060e4101e3bb223ad83c6202c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd76bbb65ef069ae78ff6d969fc898be924e0fa60817c5b357eb04e31f47e061",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-10T22:42:42Z",
    "title_canon_sha256": "8240d477539ef633fac09786eb687c2ed01a4b565de38dd8d75825b98e9fcfcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03324",
    "kind": "arxiv",
    "version": 4
  }
}