Pith Number

pith:AJVC4OMI

pith:2012:AJVC4OMI66ZC4N4G5JNUTRX2VW

not attested not anchored not stored refs pending

An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era

Abhay Ashtekar, Ivan Agullo, William Nelson

arxiv:1211.1354 v2 · 2012-11-06 · gr-qc · astro-ph.CO · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJVC4OMI66ZC4N4G5JNUTRX2VW}

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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

2 papers in Pith

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

Quasi-dust ekpyrotic scenario in Loop Quantum Cosmology

Receipt and verification

First computed	2026-05-18T01:53:24.877129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026a2e3988f7b22e3786ea5b49c6faad9386f66728637f0fcd983b262abb5622

Aliases

arxiv: 1211.1354 · arxiv_version: 1211.1354v2 · doi: 10.48550/arxiv.1211.1354 · pith_short_12: AJVC4OMI66ZC · pith_short_16: AJVC4OMI66ZC4N4G · pith_short_8: AJVC4OMI

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/AJVC4OMI66ZC4N4G5JNUTRX2VW \
  | 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: 026a2e3988f7b22e3786ea5b49c6faad9386f66728637f0fcd983b262abb5622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e15f51dac5fad7d1df5e293ab867bae24b9d7d0859950e7526f857417df30c7",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-06T19:24:40Z",
    "title_canon_sha256": "ff4278c9125dd907e1168da216459b96fc0ee8d6b892bbbe94ff16a9bb333fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1354",
    "kind": "arxiv",
    "version": 2
  }
}