Pith Number

pith:7EUCILVH

pith:2011:7EUCILVHU3YL6H7XPNTX4LT3KZ

not attested not anchored not stored refs pending

Cosmological Perturbation Analysis in a Scale Invariant Model of Gravity

Naveen K. Singh, Pankaj Jain, Purnendu Karmakar, Subhadip Mitra, Sukanta Panda

arxiv:1105.4929 v2 · 2011-05-25 · 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{7EUCILVHU3YL6H7XPNTX4LT3KZ}

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	2026-05-18T04:03:09.255827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f928242ea7a6f0bf1ff77b677e2e7b5679c5d860d32a14b7395662b6dd07f647

Aliases

arxiv: 1105.4929 · arxiv_version: 1105.4929v2 · doi: 10.48550/arxiv.1105.4929 · pith_short_12: 7EUCILVHU3YL · pith_short_16: 7EUCILVHU3YL6H7X · pith_short_8: 7EUCILVH

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/7EUCILVHU3YL6H7XPNTX4LT3KZ \
  | 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: f928242ea7a6f0bf1ff77b677e2e7b5679c5d860d32a14b7395662b6dd07f647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ab6dcd5c1faf06c3748a7a8fc67f0ec480d511f5aaf4ec4b41fedba1efa25e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-05-25T04:23:13Z",
    "title_canon_sha256": "e431e85736890759dc198e06322724c7dc0d1ab3698239159179be526b880b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4929",
    "kind": "arxiv",
    "version": 2
  }
}