Pith Number

pith:XENNNZMM

pith:2013:XENNNZMMBCDYW5RZE6TPDWD3KA

not attested not anchored not stored refs pending

Spectra of geometric operators in three-dimensional LQG: From discrete to continuous

Chao Yu, Jibril Ben Achour, Karim Noui, Marc Geiller

arxiv:1306.3246 v1 · 2013-06-13 · gr-qc · 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{XENNNZMMBCDYW5RZE6TPDWD3KA}

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	2026-05-18T02:52:34.619851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91ad6e58c08878b763927a6f1d87b50081791ce90b70e7c452937f043b44b97

Aliases

arxiv: 1306.3246 · arxiv_version: 1306.3246v1 · doi: 10.48550/arxiv.1306.3246 · pith_short_12: XENNNZMMBCDY · pith_short_16: XENNNZMMBCDYW5RZ · pith_short_8: XENNNZMM

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/XENNNZMMBCDYW5RZE6TPDWD3KA \
  | 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: b91ad6e58c08878b763927a6f1d87b50081791ce90b70e7c452937f043b44b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e09a854040959f3020129fef5aa0310b9f89bd0095155bdeff76406dd3d643",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-13T20:10:43Z",
    "title_canon_sha256": "a225b7dfd3a20a436049e9006313252cd5994f15b2961c2a9cca82e5a7ecad94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3246",
    "kind": "arxiv",
    "version": 1
  }
}