Pith Number

pith:GTFYSOGN

pith:2025:GTFYSOGNJUX6UXEJPSYQ5FE2OX

not attested not anchored not stored refs pending

Implications of Rastall Theory on Stellar Solutions admitting Vanishing Complexity: A New Perspective

Tayyab Naseer

arxiv:2507.07425 v1 · 2025-07-10 · 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{GTFYSOGNJUX6UXEJPSYQ5FE2OX}

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	2026-07-05T11:34:57.728083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34cb8938cd4d2fea5c897cb10e949a75fc613c81a6d24aac413e752e0444e9ea

Aliases

arxiv: 2507.07425 · arxiv_version: 2507.07425v1 · doi: 10.48550/arxiv.2507.07425 · pith_short_12: GTFYSOGNJUX6 · pith_short_16: GTFYSOGNJUX6UXEJ · pith_short_8: GTFYSOGN

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/GTFYSOGNJUX6UXEJPSYQ5FE2OX \
  | 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: 34cb8938cd4d2fea5c897cb10e949a75fc613c81a6d24aac413e752e0444e9ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51933dfd522d1b5cbeb04737834a204d9f83267a8c36c114a623b4fc703da545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-10T04:37:55Z",
    "title_canon_sha256": "6cadf72144f224c689d8e24b2e4a741fa2ba8c1f3440f962d8995295bb56e9ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07425",
    "kind": "arxiv",
    "version": 1
  }
}