Pith Number

pith:WBIXNWPM

pith:2026:WBIXNWPMANECBCSLCSBYASEE6J

not attested not anchored not stored refs pending

Schwarzschild perturbations in Lorenz gauge via elliptic differential equations

Barry Wardell, Erin Battaglia, Thomas Osburn

arxiv:2608.07934 v1 · 2026-08-08 · 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{WBIXNWPMANECBCSLCSBYASEE6J}

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	2026-08-11T01:19:02.298881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05176d9ec0348208a4b1483804884f269cd22ca09bbde1148e2aeeb33fa7cdb

Aliases

arxiv: 2608.07934 · arxiv_version: 2608.07934v1 · doi: 10.48550/arxiv.2608.07934 · pith_short_12: WBIXNWPMANEC · pith_short_16: WBIXNWPMANECBCSL · pith_short_8: WBIXNWPM

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/WBIXNWPMANECBCSLCSBYASEE6J \
  | 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: b05176d9ec0348208a4b1483804884f269cd22ca09bbde1148e2aeeb33fa7cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50755ca5d745d9863912343694cb220661f2741207f0d05a52bbcd3b26ac7541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-08T05:42:20Z",
    "title_canon_sha256": "faa3821464a60d4d6a081b5ea861d219a87f9b0ad91d3834dc9f6250f3809593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07934",
    "kind": "arxiv",
    "version": 1
  }
}