Pith Number

pith:H7XO4WBG

pith:2003:H7XO4WBGPAR4OHLK4G2Y4JWHTD

not attested not anchored not stored refs pending

Mathematical structure of loop quantum cosmology

Abhay Ashtekar, Jerzy lewandowski, Martin Bojowald

arxiv:gr-qc/0304074 v4 · 2003-04-21 · gr-qc · 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{H7XO4WBGPAR4OHLK4G2Y4JWHTD}

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

5 papers in Pith

Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves

Effective spherical symmetry in Loop Quantum Gravity: A path integral approach

The quasinormal modes of the rotating quantum corrected black holes

Relational quantum dynamics of the black hole interior: singularity resolution and quantum bounce

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

Receipt and verification

First computed	2026-05-18T04:23:00.232172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3feeee58267823c71d6ae1b58e26c798d03477bce7414f3e58cde8cc6379b920

Aliases

arxiv: gr-qc/0304074 · arxiv_version: gr-qc/0304074v4 · doi: 10.48550/arxiv.gr-qc/0304074 · pith_short_12: H7XO4WBGPAR4 · pith_short_16: H7XO4WBGPAR4OHLK · pith_short_8: H7XO4WBG

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/H7XO4WBGPAR4OHLK4G2Y4JWHTD \
  | 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: 3feeee58267823c71d6ae1b58e26c798d03477bce7414f3e58cde8cc6379b920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d035240c7a6dc723d4277e37440957c243e112a51307e628343e6a4944b8e2d2",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-04-21T18:13:53Z",
    "title_canon_sha256": "90c416d80bdbb4a1338b2c3ba018bcc795d47b9ad598da1a598394473fc5e598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0304074",
    "kind": "arxiv",
    "version": 4
  }
}