Pith Number

pith:T3KTEI4W

pith:2003:T3KTEI4WWGBHMY2CTLAXWEAMEG

not attested not anchored not stored refs pending

Group averaging in the (p,q) oscillator representation of SL(2,R)

Alberto Molgado, Jorma Louko

arxiv:gr-qc/0312014 v2 · 2003-12-02 · 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{T3KTEI4WWGBHMY2CTLAXWEAMEG}

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	2026-05-18T02:37:30.258187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed5322396b1827663429ac17b100c219616c6a6ece8e8031dc6f7e0c5cbbffc

Aliases

arxiv: gr-qc/0312014 · arxiv_version: gr-qc/0312014v2 · doi: 10.48550/arxiv.gr-qc/0312014 · pith_short_12: T3KTEI4WWGBH · pith_short_16: T3KTEI4WWGBHMY2C · pith_short_8: T3KTEI4W

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/T3KTEI4WWGBHMY2CTLAXWEAMEG \
  | 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: 9ed5322396b1827663429ac17b100c219616c6a6ece8e8031dc6f7e0c5cbbffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff44b8a56ba750f4fbe70a97f67a90fc5a08cbb134df10fde718c1cd936fcf83",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-12-02T10:08:08Z",
    "title_canon_sha256": "ebe33f7ed6b6bb37a64e688ad49fd0befe0fe1f833bbd528521fdb37def0c46e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0312014",
    "kind": "arxiv",
    "version": 2
  }
}