Pith Number

pith:L64NFOE2

pith:2026:L64NFOE2SULRC4YYE6WL7LJQLT

not attested not anchored not stored refs pending

Study of Cosmic Acceleration of the Universe in the Presence of Bulk Viscous Matter

Dheeraj Singh Rana

arxiv:2606.20759 v1 · 2026-06-18 · 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{L64NFOE2SULRC4YYE6WL7LJQLT}

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	2026-06-23T00:11:56.008135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fb8d2b89a951711731827acbfad305cdca5c127f8737af861938adb3c5101e9

Aliases

arxiv: 2606.20759 · arxiv_version: 2606.20759v1 · doi: 10.48550/arxiv.2606.20759 · pith_short_12: L64NFOE2SULR · pith_short_16: L64NFOE2SULRC4YY · pith_short_8: L64NFOE2

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/L64NFOE2SULRC4YYE6WL7LJQLT \
  | 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: 5fb8d2b89a951711731827acbfad305cdca5c127f8737af861938adb3c5101e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0717572973a8b5c357b8eaa6ccdb58271bfd50dfe8d2e666d69089d8df268828",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-18T09:33:42Z",
    "title_canon_sha256": "094547053ff1c861dfc53c4a2cd0c70dc44481449b6cfd9ddbd963106e1e6697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20759",
    "kind": "arxiv",
    "version": 1
  }
}