Pith Number

pith:QR2ZV6GR

pith:2010:QR2ZV6GRNRGXYQPFSWXQU4LBKM

not attested not anchored not stored refs pending

U(N) Coherent States for Loop Quantum Gravity

Etera R. Livine, Laurent Freidel

arxiv:1005.2090 v1 · 2010-05-12 · 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{QR2ZV6GRNRGXYQPFSWXQU4LBKM}

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	2026-05-18T02:07:33.753151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84759af8d16c4d7c41e595af0a7161533b5eee22c32f84d8bde46a0e51e29a68

Aliases

arxiv: 1005.2090 · arxiv_version: 1005.2090v1 · doi: 10.48550/arxiv.1005.2090 · pith_short_12: QR2ZV6GRNRGX · pith_short_16: QR2ZV6GRNRGXYQPF · pith_short_8: QR2ZV6GR

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/QR2ZV6GRNRGXYQPFSWXQU4LBKM \
  | 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: 84759af8d16c4d7c41e595af0a7161533b5eee22c32f84d8bde46a0e51e29a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "690e436120a376b544357cf0bc6d83a37e1c6ee872291bf6eb105dc1b76ba703",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-05-12T13:28:03Z",
    "title_canon_sha256": "d5b1055edd6b28ce06c849d4b70c39a7a969f8f382cca64a781bec8de9b063a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2090",
    "kind": "arxiv",
    "version": 1
  }
}