Pith Number

pith:TJ3R7LOK

pith:2011:TJ3R7LOKVGEVELS53QTNIX7QAK

not attested not anchored not stored refs pending

Spinor Representation for Loop Quantum Gravity

Etera R. Livine, Johannes Tambornino

arxiv:1105.3385 v2 · 2011-05-17 · gr-qc · 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{TJ3R7LOKVGEVELS53QTNIX7QAK}

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.

Cited by

1 paper in Pith

Area bounds and gauge fixing: alternative canonical variables for loop gravity

Receipt and verification

First computed	2026-05-18T04:03:19.408252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a771fadcaa989522e5ddc26d45ff002808aab76ca81cae004966106b7db9e02

Aliases

arxiv: 1105.3385 · arxiv_version: 1105.3385v2 · doi: 10.48550/arxiv.1105.3385 · pith_short_12: TJ3R7LOKVGEV · pith_short_16: TJ3R7LOKVGEVELS5 · pith_short_8: TJ3R7LOK

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/TJ3R7LOKVGEVELS53QTNIX7QAK \
  | 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: 9a771fadcaa989522e5ddc26d45ff002808aab76ca81cae004966106b7db9e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404aae3198b6320e506512c6230f625cbf79e49eea719c6e3c48f9a5e78a1c5c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-05-17T14:11:43Z",
    "title_canon_sha256": "b4f7d483ee57fa8ade49be7bf3e65f15197f23084f2e31e189075ece80d573ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3385",
    "kind": "arxiv",
    "version": 2
  }
}