Pith Number

pith:6CNRXXZL

pith:2005:6CNRXXZLN5ESA5RNQH27Z24H64

not attested not anchored not stored refs pending

Group averaging, positive definiteness and superselection sectors

Jorma Louko

arxiv:gr-qc/0512076 v1 · 2005-12-13 · 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{6CNRXXZLN5ESA5RNQH27Z24H64}

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	2026-05-18T01:39:20.216141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09b1bdf2b6f4920762d81f5fceb87f70cbc23a9c41ef962f43468192dd79140

Aliases

arxiv: gr-qc/0512076 · arxiv_version: gr-qc/0512076v1 · doi: 10.48550/arxiv.gr-qc/0512076 · pith_short_12: 6CNRXXZLN5ES · pith_short_16: 6CNRXXZLN5ESA5RN · pith_short_8: 6CNRXXZL

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/6CNRXXZLN5ESA5RNQH27Z24H64 \
  | 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: f09b1bdf2b6f4920762d81f5fceb87f70cbc23a9c41ef962f43468192dd79140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b89c4d14c75baa982ed6c89dba2396a01908fbfcd45cfb2ab14bcb84743dd01",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-13T10:41:12Z",
    "title_canon_sha256": "49371ec659134c60a051a2bc94f2acf10526bad99edccb104ab3d2194aa02f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512076",
    "kind": "arxiv",
    "version": 1
  }
}