Pith Number

pith:UAZXAHL7

pith:2025:UAZXAHL7RTZOJYRBORGXFCMX66

not attested not anchored not stored refs pending

Singularity Avoidance in Gravitational Collapse of an Inhomogeneous Fluid in Rastall Gravity

Akbar Jahan, Amir Hadi Ziaie, Halime Miraghaei, Shayesteh Ghaffari

arxiv:2507.02026 v1 · 2025-07-02 · 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{UAZXAHL7RTZOJYRBORGXFCMX66}

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	2026-07-05T11:31:10.914548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a033701d7f8cf2e4e221744d728997f7acfc070bc205c0d19226fd8e50cf9885

Aliases

arxiv: 2507.02026 · arxiv_version: 2507.02026v1 · doi: 10.48550/arxiv.2507.02026 · pith_short_12: UAZXAHL7RTZO · pith_short_16: UAZXAHL7RTZOJYRB · pith_short_8: UAZXAHL7

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/UAZXAHL7RTZOJYRBORGXFCMX66 \
  | 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: a033701d7f8cf2e4e221744d728997f7acfc070bc205c0d19226fd8e50cf9885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c741561fd111774e41b8ee1bbc6a8302ffee3098e5cb956d9b7ec805c079d225",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-02T16:32:48Z",
    "title_canon_sha256": "14fe1d1f501c00bd880455e3477c106d66eaec45290fd3cd87032187524dea15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02026",
    "kind": "arxiv",
    "version": 1
  }
}