Pith Number

pith:WM3HXTGZ

pith:2026:WM3HXTGZN2UVPBAZAQS2WT62I3

not attested not anchored not stored refs pending

Geometric Phase-Space Structure in Cosmological Solutions of Einstein's Field Equations

Hassan Ugail

arxiv:2606.17071 v1 · 2026-06-08 · physics.gen-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{WM3HXTGZN2UVPBAZAQS2WT62I3}

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	2026-06-19T16:10:02.584678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3367bccd96ea95784190425ab4fda46f17cfe32cb9e234bf625756766a7d6fd

Aliases

arxiv: 2606.17071 · arxiv_version: 2606.17071v1 · doi: 10.48550/arxiv.2606.17071 · pith_short_12: WM3HXTGZN2UV · pith_short_16: WM3HXTGZN2UVPBAZ · pith_short_8: WM3HXTGZ

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/WM3HXTGZN2UVPBAZAQS2WT62I3 \
  | 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: b3367bccd96ea95784190425ab4fda46f17cfe32cb9e234bf625756766a7d6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e8b58974c5d50f59343356b2db46838f8eac4811bfac561043596296b6c8b1d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2026-06-08T15:48:32Z",
    "title_canon_sha256": "ebbf1fb388b1f63d29920b1df542df4214feaac495e713b766a29ab5bf19fa9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17071",
    "kind": "arxiv",
    "version": 1
  }
}