Pith Number

pith:ARD6LPG7

pith:2024:ARD6LPG7OV7ZFOR36XCW5EFIXG

not attested not anchored not stored refs pending

Some Classes of Interacting Two-Fluid Model of the Expanding Universe

Subhra Bhattacharya

arxiv:2405.13354 v1 · 2024-05-22 · 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{ARD6LPG7OV7ZFOR36XCW5EFIXG}

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	2026-07-05T08:22:01.852688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0447e5bcdf757f92ba3bf5c56e90a8b98f9e4f6900535bd2e20c02aacb69a4f4

Aliases

arxiv: 2405.13354 · arxiv_version: 2405.13354v1 · doi: 10.48550/arxiv.2405.13354 · pith_short_12: ARD6LPG7OV7Z · pith_short_16: ARD6LPG7OV7ZFOR3 · pith_short_8: ARD6LPG7

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/ARD6LPG7OV7ZFOR36XCW5EFIXG \
  | 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: 0447e5bcdf757f92ba3bf5c56e90a8b98f9e4f6900535bd2e20c02aacb69a4f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec542a71b7b9331623a542ac0e6fa43591396a975cf31e9059135d5afe191efc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-05-22T05:16:39Z",
    "title_canon_sha256": "88af2464cc4222a46f494f20deca373752eb45180b8ef4c170b52f9838e5765e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.13354",
    "kind": "arxiv",
    "version": 1
  }
}