Pith Number

pith:WGOGYLPO

pith:2026:WGOGYLPOLXNRSU2K3PUIZJN7SP

not attested not anchored not stored refs pending

Gravitating Tubes Beyond World Line Paradigm In General Relativity

Abhi Savaliya

arxiv:2607.00036 v1 · 2026-06-28 · gr-qc · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGOGYLPOLXNRSU2K3PUIZJN7SP}

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	2026-07-02T00:18:32.085097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19c6c2dee5ddb19534adbe88ca5bf93dfce401faedf6702eee88087c9a3fdfd

Aliases

arxiv: 2607.00036 · arxiv_version: 2607.00036v1 · doi: 10.48550/arxiv.2607.00036 · pith_short_12: WGOGYLPOLXNR · pith_short_16: WGOGYLPOLXNRSU2K · pith_short_8: WGOGYLPO

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/WGOGYLPOLXNRSU2K3PUIZJN7SP \
  | 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: b19c6c2dee5ddb19534adbe88ca5bf93dfce401faedf6702eee88087c9a3fdfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75b8f5af850c157cc965c3cd3961b4b6d44eca281abc36d626996497dbb9fca",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-28T07:09:41Z",
    "title_canon_sha256": "80489a9e197ec4103060a61d9fb40ff684aaff6a19a73d366563807648b88f9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00036",
    "kind": "arxiv",
    "version": 1
  }
}