Pith Number

pith:2LGRNNEG

pith:2011:2LGRNNEGJSOPOPJOPWHABB6OTR

not attested not anchored not stored refs pending

Positive cosmological constant in loop quantum cosmology

Abhay Ashtekar, Tomasz Pawlowski

arxiv:1112.0360 v1 · 2011-12-01 · gr-qc · astro-ph.CO · 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{2LGRNNEGJSOPOPJOPWHABB6OTR}

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	2026-05-18T01:59:18.255832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2cd16b4864c9cf73d2e7d8e0087ce9c449b2c595de16735d7c93f85a6e334f5

Aliases

arxiv: 1112.0360 · arxiv_version: 1112.0360v1 · doi: 10.48550/arxiv.1112.0360 · pith_short_12: 2LGRNNEGJSOP · pith_short_16: 2LGRNNEGJSOPOPJO · pith_short_8: 2LGRNNEG

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/2LGRNNEGJSOPOPJOPWHABB6OTR \
  | 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: d2cd16b4864c9cf73d2e7d8e0087ce9c449b2c595de16735d7c93f85a6e334f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ed52b3055319750f02bf355c0e5ccc8daa434e68771118ee53ec7ae04ac3e7",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-01T23:52:07Z",
    "title_canon_sha256": "e14d84701483fbecffbbdde8fb576e8bd30c11ef2ff683e784fdaf0383d0b46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0360",
    "kind": "arxiv",
    "version": 1
  }
}