Pith Number

pith:VBUN67ZM

pith:2011:VBUN67ZMGOQZKS32QR6SYNTQBZ

not attested not anchored not stored refs pending

Newtonian and Post Newtonian Expansionfree Fluid Evolution in f(R) Gravity

H. Rizwana Kausar, M. Sharif

arxiv:1201.2093 v1 · 2011-11-11 · physics.gen-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBUN67ZMGOQZKS32QR6SYNTQBZ}

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	2026-05-18T01:58:53.371724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a868df7f2c33a1954b7a847d2c36700e6ad80baf807d97e1664b67f9f4530af8

Aliases

arxiv: 1201.2093 · arxiv_version: 1201.2093v1 · doi: 10.48550/arxiv.1201.2093 · pith_short_12: VBUN67ZMGOQZ · pith_short_16: VBUN67ZMGOQZKS32 · pith_short_8: VBUN67ZM

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/VBUN67ZMGOQZKS32QR6SYNTQBZ \
  | 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: a868df7f2c33a1954b7a847d2c36700e6ad80baf807d97e1664b67f9f4530af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c581f67abf7ae5e04b2194e3d819d347111182b8d38587ffa95d0b0bce7bd70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-11-11T07:16:40Z",
    "title_canon_sha256": "dcee42c8397b41315286dba159ad34e919c930f33d6684d0e575c887d3802815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2093",
    "kind": "arxiv",
    "version": 1
  }
}