Pith Number

pith:M3YTZ7OP

pith:2013:M3YTZ7OP74K7O6PYSYVTZY5ZBV

not attested not anchored not stored refs pending

Comments on "Growth of Covariant Perturbations in the Contracting Phase of a Bouncing Universe" by A. Kumar

N. Pinto-Neto, S. D. P. Vitenti

arxiv:1312.7790 v1 · 2013-12-30 · astro-ph.CO · 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{M3YTZ7OP74K7O6PYSYVTZY5ZBV}

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	2026-05-18T03:00:51.132164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f13cfdcfff15f779f8962b3ce3b90d5b86406c9efdddcb51c60c111f77cc1a

Aliases

arxiv: 1312.7790 · arxiv_version: 1312.7790v1 · doi: 10.48550/arxiv.1312.7790 · pith_short_12: M3YTZ7OP74K7 · pith_short_16: M3YTZ7OP74K7O6PY · pith_short_8: M3YTZ7OP

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/M3YTZ7OP74K7O6PYSYVTZY5ZBV \
  | 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: 66f13cfdcfff15f779f8962b3ce3b90d5b86406c9efdddcb51c60c111f77cc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f90faf2c71cc14b1398c293532e2280620b12b08db1f1e2d8f8181dd51b2967",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-30T17:32:28Z",
    "title_canon_sha256": "708db90a2ee9882ab7fd0fb98bf67ff94a87a83dab2f8b56c7a0d64e50a76836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7790",
    "kind": "arxiv",
    "version": 1
  }
}