Pith Number

pith:4PDPKHGW

pith:2011:4PDPKHGWV3KDOG4N5YL4IXUMXZ

not attested not anchored not stored refs pending

Prescriptions in Loop Quantum Cosmology: A comparative analysis

Guillermo A. Mena Marugan, Javier Olmedo, Tomasz Pawlowski

arxiv:1108.0829 v1 · 2011-08-03 · 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{4PDPKHGWV3KDOG4N5YL4IXUMXZ}

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	2026-05-18T02:01:03.602960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c6f51cd6aed4371b8dee17c45e8cbe5d4f4df8bbed60188f4d92beb44af192

Aliases

arxiv: 1108.0829 · arxiv_version: 1108.0829v1 · doi: 10.48550/arxiv.1108.0829 · pith_short_12: 4PDPKHGWV3KD · pith_short_16: 4PDPKHGWV3KDOG4N · pith_short_8: 4PDPKHGW

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/4PDPKHGWV3KDOG4N5YL4IXUMXZ \
  | 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: e3c6f51cd6aed4371b8dee17c45e8cbe5d4f4df8bbed60188f4d92beb44af192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e72e54458b5ce2462d953a77310d23556b94e90b8e79bf26664e4815c1afa474",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-03T12:34:36Z",
    "title_canon_sha256": "82a00a9d4c6177c190f20d2b20d88e6ca4c63bc36554faa3cb6953f74a6b3c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0829",
    "kind": "arxiv",
    "version": 1
  }
}