Pith Number

pith:7Y2VHVP3

pith:2006:7Y2VHVP3N5DMLC7J3KICAPSJXG

not attested not anchored not stored refs pending

Quantum Nature of the Big Bang: An Analytical and Numerical Investigation

Abhay Ashtekar, Parampreet Singh, Tomasz Pawlowski

arxiv:gr-qc/0604013 v3 · 2006-04-04 · gr-qc · 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{7Y2VHVP3N5DMLC7J3KICAPSJXG}

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

3 papers in Pith

Classical and Loop Quantum Cosmology of Interacting Dark Energy: A Dynamical System Analysis with Superfluid Dark Matter and Dust Matter

Quasinormal modes of a rotating loop quantum black hole

Effective Improved-GUP Cosmology: Emergent FLRW Universe without a Bounce

Receipt and verification

First computed	2026-07-04T15:22:22.784557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3553d5fb6f46c58be9da90203e49b9bd8e8fff01a412a33bdc73548f39d7cf

Aliases

arxiv: gr-qc/0604013 · arxiv_version: gr-qc/0604013v3 · doi: 10.48550/arxiv.gr-qc/0604013 · pith_short_12: 7Y2VHVP3N5DM · pith_short_16: 7Y2VHVP3N5DMLC7J · pith_short_8: 7Y2VHVP3

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/7Y2VHVP3N5DMLC7J3KICAPSJXG \
  | 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: fe3553d5fb6f46c58be9da90203e49b9bd8e8fff01a412a33bdc73548f39d7cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f513937647f2682a6faedf9cd1e980debadbf0122e7c66a3b1721f48b3cc0668",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-04-04T19:03:37Z",
    "title_canon_sha256": "fe49d5ad9f604e4e5e90280668922a4037509af468311a713756acec11233b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0604013",
    "kind": "arxiv",
    "version": 3
  }
}