Pith Number

pith:3LUKIM2O

pith:2011:3LUKIM2OOFSZS6426QIMHDCL5B

not attested not anchored not stored refs pending

The Generalized Uncertainty Principle and the Friedmann equations

Barun Majumder

arxiv:1105.2425 v2 · 2011-05-12 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LUKIM2OOFSZS6426QIMHDCL5B}

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	2026-05-18T04:07:32.264828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae8a4334e7165997b9af410c38c4be8666f6a4a695baeea4edd6ac4df61919b

Aliases

arxiv: 1105.2425 · arxiv_version: 1105.2425v2 · doi: 10.48550/arxiv.1105.2425 · pith_short_12: 3LUKIM2OOFSZ · pith_short_16: 3LUKIM2OOFSZS642 · pith_short_8: 3LUKIM2O

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/3LUKIM2OOFSZS6426QIMHDCL5B \
  | 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: dae8a4334e7165997b9af410c38c4be8666f6a4a695baeea4edd6ac4df61919b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "933c2694f5b9e74f14c7a2cc55414d4cf9f89288246d48ad1ca1af06ebe4e2a3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-05-12T11:04:43Z",
    "title_canon_sha256": "3ac22f92d3c26fc56b6501b1feb5a18b101cbcd54a084ccbf58a0ff553e4b717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2425",
    "kind": "arxiv",
    "version": 2
  }
}