Pith Number

pith:V7BUQOKE

pith:2004:V7BUQOKEHKMIEFW7ITK7MQJ4MM

not attested not anchored not stored refs pending

Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe

S. Carlip

arxiv:gr-qc/0409039 v2 · 2004-09-08 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7BUQOKEHKMIEFW7ITK7MQJ4MM}

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	2026-05-18T01:39:22.494278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc34839443a988216df44d5f6413c6335b8b8959372af6e663d321f89f0e84d

Aliases

arxiv: gr-qc/0409039 · arxiv_version: gr-qc/0409039v2 · doi: 10.48550/arxiv.gr-qc/0409039 · pith_short_12: V7BUQOKEHKMI · pith_short_16: V7BUQOKEHKMIEFW7 · pith_short_8: V7BUQOKE

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/V7BUQOKEHKMIEFW7ITK7MQJ4MM \
  | 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: afc34839443a988216df44d5f6413c6335b8b8959372af6e663d321f89f0e84d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c79bb652e484b868d43ca2ca482fb08cac631f7821f54bddc21e3f5a160c41",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-09-08T20:12:18Z",
    "title_canon_sha256": "e91308478fcb87da4d5b62ffea2b91f552cbd1480618a13a2982744f14a9cefe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0409039",
    "kind": "arxiv",
    "version": 2
  }
}