pith. sign in
Pith Number

pith:BBE4VHS3

pith:2004:BBE4VHS3TBCALD7CVFWOFJHAL2
not attested not anchored not stored refs pending

Observability and Geometry in Three dimensional quantum gravity

Alejandro Perez, Karim Noui

arxiv:gr-qc/0402113 v2 · 2004-02-25 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BBE4VHS3TBCALD7CVFWOFJHAL2}

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 2026-05-18T00:37:30.375944Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0849ca9e5b9844058fe2a96ce2a4e05e9adadeb6d00db78ff8175c20d02d7400

Aliases

arxiv: gr-qc/0402113 · arxiv_version: gr-qc/0402113v2 · doi: 10.48550/arxiv.gr-qc/0402113 · pith_short_12: BBE4VHS3TBCA · pith_short_16: BBE4VHS3TBCALD7C · pith_short_8: BBE4VHS3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BBE4VHS3TBCALD7CVFWOFJHAL2 \
  | 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: 0849ca9e5b9844058fe2a96ce2a4e05e9adadeb6d00db78ff8175c20d02d7400
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7d1b835edc7ce1309a3e205df80aff6c495df90c10ff4525da73f0eb9440ae50",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-02-25T03:50:21Z",
    "title_canon_sha256": "1a3af3547296b7137089a36a05c8a8e8552c76b4abd8ec1eb64b876e075497ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0402113",
    "kind": "arxiv",
    "version": 2
  }
}