Pith Number

pith:R4S7PQJG

pith:2026:R4S7PQJG2G33SCE72WKZ6LVTHO

not attested not anchored not stored refs pending

Exact solutions for static spherically symmetric spacetime with a perfect fluid in Rastall theory

Ichika Obara, Takumi Orimo, Yoshimune Tomikawa

arxiv:2607.26463 v1 · 2026-07-29 · 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{R4S7PQJG2G33SCE72WKZ6LVTHO}

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	2026-07-30T01:20:34.418699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8f25f7c126d1b7b9089fd5959f2eb33b8403ace081f43f616cd743d14e60f1d6

Aliases

arxiv: 2607.26463 · arxiv_version: 2607.26463v1 · doi: 10.48550/arxiv.2607.26463 · pith_short_12: R4S7PQJG2G33 · pith_short_16: R4S7PQJG2G33SCE7 · pith_short_8: R4S7PQJG

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/R4S7PQJG2G33SCE72WKZ6LVTHO \
  | 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: 8f25f7c126d1b7b9089fd5959f2eb33b8403ace081f43f616cd743d14e60f1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "756bacf55fec55c410a17239e3e0a90dde6349ff278fc94641fb17862e5b98aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-29T04:36:02Z",
    "title_canon_sha256": "c7fa99fb570c62ad96072c8b70990b60939839abc604c5b0b29035cf5b56031a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26463",
    "kind": "arxiv",
    "version": 1
  }
}