Pith Number

pith:VCJF5OFA

pith:2011:VCJF5OFACDUFNWNDV5FPZXL3N4

not attested not anchored not stored refs pending

Loop Quantum Cosmology: A cosmological theory with a view

Guillermo A. Mena Marugan

arxiv:1101.1738 v1 · 2011-01-10 · 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{VCJF5OFACDUFNWNDV5FPZXL3N4}

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	2026-05-18T02:03:43.693590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8925eb8a010e856d9a3af4afcdd7b6f212f8d5adbfbf2d03b31a001ac3f897a

Aliases

arxiv: 1101.1738 · arxiv_version: 1101.1738v1 · doi: 10.48550/arxiv.1101.1738 · pith_short_12: VCJF5OFACDUF · pith_short_16: VCJF5OFACDUFNWND · pith_short_8: VCJF5OFA

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/VCJF5OFACDUFNWNDV5FPZXL3N4 \
  | 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: a8925eb8a010e856d9a3af4afcdd7b6f212f8d5adbfbf2d03b31a001ac3f897a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ffe2af292be989bb1efc1b610dbfacd320f802bd3ebb6fd2f6a4a42022d01b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-10T09:07:00Z",
    "title_canon_sha256": "f7b14d207c04876bfcc96a8f3a722c0556a7a2ae34738e8cf089cd6e724ef76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1738",
    "kind": "arxiv",
    "version": 1
  }
}