Pith Number

pith:E3QPDKVD

pith:2013:E3QPDKVDCWQJPHKFDVUJPR5PCZ

not attested not anchored not stored refs pending

Structural aspects of loop quantum gravity and loop quantum cosmology from an algebraic perspective

Alexander Stottmeister, Thomas Thiemann

arxiv:1312.3657 v2 · 2013-12-12 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3QPDKVDCWQJPHKFDVUJPR5PCZ}

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	2026-05-18T02:19:16.898054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e0f1aaa315a0979d451d6897c7af165e55a2b72488e4d6dc6bf6afe61bdccd

Aliases

arxiv: 1312.3657 · arxiv_version: 1312.3657v2 · doi: 10.48550/arxiv.1312.3657 · pith_short_12: E3QPDKVDCWQJ · pith_short_16: E3QPDKVDCWQJPHKF · pith_short_8: E3QPDKVD

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/E3QPDKVDCWQJPHKFDVUJPR5PCZ \
  | 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: 26e0f1aaa315a0979d451d6897c7af165e55a2b72488e4d6dc6bf6afe61bdccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc4b308d5f8b9f9b1c8de30a6fe71901c74c19f9cef1e5dbbba2d64d0651ac3",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-12T21:31:19Z",
    "title_canon_sha256": "60ceb973a9e2903c39eef9165218981978c2c07d265a8df150e2e8f71c0d4ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3657",
    "kind": "arxiv",
    "version": 2
  }
}