Pith Number

pith:4VDVL66G

pith:2014:4VDVL66GXY4LA22UNXYL2QWLJU

not attested not anchored not stored refs pending

Energy Density Inhomogeneities with Polynomial $f(R)$ Cosmology

M. Sharif, Z. Yousaf

arxiv:1501.03478 v1 · 2014-08-15 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VDVL66GXY4LA22UNXYL2QWLJU}

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	2026-05-18T01:19:16.201705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54755fbc6be38b06b546df0bd42cb4d1e907d64a4e4989b0ac41c3cb7000759

Aliases

arxiv: 1501.03478 · arxiv_version: 1501.03478v1 · doi: 10.48550/arxiv.1501.03478 · pith_short_12: 4VDVL66GXY4L · pith_short_16: 4VDVL66GXY4LA22U · pith_short_8: 4VDVL66G

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/4VDVL66GXY4LA22UNXYL2QWLJU \
  | 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: e54755fbc6be38b06b546df0bd42cb4d1e907d64a4e4989b0ac41c3cb7000759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e16159360ae883e5fc540ab87de6fdf88e9dfc966455362f2d98a3ab1281c4",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-08-15T03:40:53Z",
    "title_canon_sha256": "4dc55d5f73063dc5215180d69c7f13898053dbe58837dc1c74f550d1f54f8c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03478",
    "kind": "arxiv",
    "version": 1
  }
}