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Pith Number

pith:AP4C5U33

pith:2015:AP4C5U33J7EHVJPYNWLAVMTFJL
not attested not anchored not stored refs pending

Hydrodynamics of Gaseous System in Massive Brans-Dicke Gravity

M. Sharif, Rubab Manzoor

arxiv:1508.02306 v2 · 2015-08-07 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AP4C5U33J7EHVJPYNWLAVMTFJL}

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 2026-05-18T01:15:15.103529Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

03f82ed37b4fc87aa5f86d960ab2654af0c9fb60ac88e9c7905fdfd8284c460b

Aliases

arxiv: 1508.02306 · arxiv_version: 1508.02306v2 · doi: 10.48550/arxiv.1508.02306 · pith_short_12: AP4C5U33J7EH · pith_short_16: AP4C5U33J7EHVJPY · pith_short_8: AP4C5U33
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AP4C5U33J7EHVJPYNWLAVMTFJL \
  | 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: 03f82ed37b4fc87aa5f86d960ab2654af0c9fb60ac88e9c7905fdfd8284c460b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7fefff7d1650a6343913d20f7c8f2db499caedf9cb8827d4772b9a8a59dfca89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-07T10:58:33Z",
    "title_canon_sha256": "2eb9786c1712d9dfbda3e544d9010f39fca74764214c64e708641db97a47e988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02306",
    "kind": "arxiv",
    "version": 2
  }
}