Pith Number

pith:IAUPNR3J

pith:2024:IAUPNR3JQDK4AI4LZZVBM4GIB7

not attested not anchored not stored refs pending

Perturbations with bulk viscosity in modified chaplygin gas cosmology

Albert Munyeshyaka, Joseph Ntahompagaze, Praveen Kumar Dhankar

arxiv:2411.11309 v1 · 2024-11-18 · 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{IAUPNR3JQDK4AI4LZZVBM4GIB7}

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	2026-07-05T09:55:14.285114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4028f6c76980d5c0238bce6a1670c80fe3d4493e07b59846ea108526194f89fe

Aliases

arxiv: 2411.11309 · arxiv_version: 2411.11309v1 · doi: 10.48550/arxiv.2411.11309 · pith_short_12: IAUPNR3JQDK4 · pith_short_16: IAUPNR3JQDK4AI4L · pith_short_8: IAUPNR3J

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/IAUPNR3JQDK4AI4LZZVBM4GIB7 \
  | 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: 4028f6c76980d5c0238bce6a1670c80fe3d4493e07b59846ea108526194f89fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "198bb85e6234d7907098d28ba810a1ddb6ac1789fbf2f838e6619c46098afa52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-11-18T06:06:30Z",
    "title_canon_sha256": "26d4f2401b83ad8ef5dfa8e22183e2595a64baecdd25aee734551a71a4c3ce19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.11309",
    "kind": "arxiv",
    "version": 1
  }
}