Pith Number

pith:TQMLOGAR

pith:1993:TQMLOGAR3L2YZXQ7UYUBFNMJCK

not attested not anchored not stored refs pending

Notes on the (2+1)-Dimensional Wheeler-DeWitt Equation

Steven Carlip

arxiv:gr-qc/9309002 v1 · 1993-09-02 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQMLOGAR3L2YZXQ7UYUBFNMJCK}

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

The spectrum of pure dS$_3$ gravity in the static patch

Receipt and verification

First computed	2026-07-04T17:27:25.298527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c18b71811daf58cde1fa62812b58912834f038bad72859a53091d5f30c1bf8c

Aliases

arxiv: gr-qc/9309002 · arxiv_version: gr-qc/9309002v1 · doi: 10.48550/arxiv.gr-qc/9309002 · pith_short_12: TQMLOGAR3L2Y · pith_short_16: TQMLOGAR3L2YZXQ7 · pith_short_8: TQMLOGAR

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/TQMLOGAR3L2YZXQ7UYUBFNMJCK \
  | 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: 9c18b71811daf58cde1fa62812b58912834f038bad72859a53091d5f30c1bf8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ee670f7e08b55b33a3c8876f30680f32643299fc3bd3792ff00d97d8cdc16c9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-09-02T01:01:39Z",
    "title_canon_sha256": "e07785e195bb31a8a892e1260e13a50988d6ea68a2aba3a718bb843cc8b5e46d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9309002",
    "kind": "arxiv",
    "version": 1
  }
}