Pith Number

pith:XIWLSEXO

pith:2002:XIWLSEXOFSCSIYC525BGSCSBUX

not attested not anchored not stored refs pending

When Do Measures on the Space of Connections Support the Triad Operators of Loop Quantum Gravity?

Hanno Sahlmann

arxiv:gr-qc/0207112 v3 · 2002-07-29 · 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{XIWLSEXOFSCSIYC525BGSCSBUX}

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	2026-05-18T04:30:46.680429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba2cb912ee2c8524605dd742690a41a5ef8772758b06676eeeec57f3b7dd434a

Aliases

arxiv: gr-qc/0207112 · arxiv_version: gr-qc/0207112v3 · doi: 10.48550/arxiv.gr-qc/0207112 · pith_short_12: XIWLSEXOFSCS · pith_short_16: XIWLSEXOFSCSIYC5 · pith_short_8: XIWLSEXO

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/XIWLSEXOFSCSIYC525BGSCSBUX \
  | 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: ba2cb912ee2c8524605dd742690a41a5ef8772758b06676eeeec57f3b7dd434a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce753c69cda851a513abb9ed87b93da99a55cffe7fb69e093c80e3050eeda33",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-07-29T15:54:12Z",
    "title_canon_sha256": "c8a83f70d229b174a0730ff4227315ef6f3fefd9e10d80b6118a46d03ccab73a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0207112",
    "kind": "arxiv",
    "version": 3
  }
}