Pith Number

pith:XDRR2CZ4

pith:2025:XDRR2CZ4LGV66T3V7WMAWWOBTZ

not attested not anchored not stored refs pending

An Alternative Approach to the Exact Solution of FRW-Type Spacetime with a Generalized Chaplygin Gas

D Panigrahi

arxiv:2502.07700 v2 · 2025-02-11 · 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{XDRR2CZ4LGV66T3V7WMAWWOBTZ}

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	2026-07-05T11:29:55.179480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e31d0b3c59abef4f75fd980b59c19e645ae5d2dff94c6df13da7c8db671af5

Aliases

arxiv: 2502.07700 · arxiv_version: 2502.07700v2 · doi: 10.48550/arxiv.2502.07700 · pith_short_12: XDRR2CZ4LGV6 · pith_short_16: XDRR2CZ4LGV66T3V · pith_short_8: XDRR2CZ4

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/XDRR2CZ4LGV66T3V7WMAWWOBTZ \
  | 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: b8e31d0b3c59abef4f75fd980b59c19e645ae5d2dff94c6df13da7c8db671af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73750c65f9c06f453cb29dd843292d738b5f1ed8bd9c03b5977c675195908495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-11T16:55:15Z",
    "title_canon_sha256": "def34482e2aeb16514e2cc9cdb751f02df792d9aa752ef0cad2fe79b343be701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07700",
    "kind": "arxiv",
    "version": 2
  }
}