Pith Number

pith:J2PTDTX2

pith:2025:J2PTDTX25DEVRHKGMZI2QRLXIG

not attested not anchored not stored refs pending

Dynamical analysis of bulk viscous cosmological model in $F(T)$ gravity

B. C. Paul, Chanchal Mondal, Partha Sarathi Debnath

arxiv:2507.15754 v1 · 2025-07-21 · 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{J2PTDTX25DEVRHKGMZI2QRLXIG}

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	2026-07-05T11:40:43.570031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9f31cefae8c9589d466651a8457741a34ccc78d7cc99d7d687734b9b66a8f6

Aliases

arxiv: 2507.15754 · arxiv_version: 2507.15754v1 · doi: 10.48550/arxiv.2507.15754 · pith_short_12: J2PTDTX25DEV · pith_short_16: J2PTDTX25DEVRHKG · pith_short_8: J2PTDTX2

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/J2PTDTX25DEVRHKGMZI2QRLXIG \
  | 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: 4e9f31cefae8c9589d466651a8457741a34ccc78d7cc99d7d687734b9b66a8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0393cdf6c231d082ddc58093a1b79180d4a7a1aeb05b1c8f29ec8eb7b365a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-21T16:10:16Z",
    "title_canon_sha256": "e4aa39b148dc38a72d36ea2a1d682245c2430d666437e054a1e0d641b461ae19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15754",
    "kind": "arxiv",
    "version": 1
  }
}