Pith Number

pith:ZI3P4QCK

pith:2009:ZI3P4QCKPUG2U6GOFFVHVINZM3

not attested not anchored not stored refs pending

Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology

Guillermo A. Mena Marugan, Javier Olmedo, Mercedes Martin-Benito

arxiv:0909.2829 v2 · 2009-09-15 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZI3P4QCKPUG2U6GOFFVHVINZM3}

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	2026-05-18T04:40:34.101557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca36fe404a7d0daa78ce296a7aa1b966e930a056ec3c4b5fac1f35a4f5755f2a

Aliases

arxiv: 0909.2829 · arxiv_version: 0909.2829v2 · doi: 10.48550/arxiv.0909.2829 · pith_short_12: ZI3P4QCKPUG2 · pith_short_16: ZI3P4QCKPUG2U6GO · pith_short_8: ZI3P4QCK

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/ZI3P4QCKPUG2U6GOFFVHVINZM3 \
  | 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: ca36fe404a7d0daa78ce296a7aa1b966e930a056ec3c4b5fac1f35a4f5755f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176c0d41497b6075f43079abbe2ede11049742d5d56d1cb2672742f1c5e7edd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-09-15T15:34:28Z",
    "title_canon_sha256": "42f94eeb874e88d8ef468629ff1e2bf78d6e5b76b805107e4b65f2fe77ddad46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2829",
    "kind": "arxiv",
    "version": 2
  }
}