Pith Number

pith:LMRYXJYQ

pith:2013:LMRYXJYQ5JZYPZXAGLHKB6EDHE

not attested not anchored not stored refs pending

Constructing analytical solutions of linear perturbations of inflation with modified dispersion relations

Anzhong Wang, Gerald Cleaver, Klaus Kirsten, Qin Sheng, Tao Zhu

arxiv:1308.1104 v3 · 2013-08-05 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMRYXJYQ5JZYPZXAGLHKB6EDHE}

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.

Cited by

1 paper in Pith

Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology

Receipt and verification

First computed	2026-05-18T02:38:26.644650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b238ba710ea7387e6e032cea0f883391491e438a02ec07b9c865fa9466bccb2

Aliases

arxiv: 1308.1104 · arxiv_version: 1308.1104v3 · doi: 10.48550/arxiv.1308.1104 · pith_short_12: LMRYXJYQ5JZY · pith_short_16: LMRYXJYQ5JZYPZXA · pith_short_8: LMRYXJYQ

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/LMRYXJYQ5JZYPZXAGLHKB6EDHE \
  | 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: 5b238ba710ea7387e6e032cea0f883391491e438a02ec07b9c865fa9466bccb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32aa77e5272094677b43331a77f11f39f5bf359ae42433b0e05cdda6e5d54af",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-08-05T20:00:11Z",
    "title_canon_sha256": "7d466921b289e591c75d7917f20a55a389e4aeb1f13ba54fb590e3a3e56a191a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1104",
    "kind": "arxiv",
    "version": 3
  }
}