Pith Number

pith:FBKFLQTF

pith:2001:FBKFLQTF3TFBLLFCJENKVMXPDO

not attested not anchored not stored refs pending

Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry

Department of Physics, Jian Dai, Peking University), Xing-Chang Song (Theory Group

arxiv:gr-qc/0102028 v4 · 2001-02-07 · gr-qc · hep-lat · 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{FBKFLQTF3TFBLLFCJENKVMXPDO}

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	2026-05-18T00:25:46.687693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285455c265dcca15aca2491aaab2ef1bb58bca80655c023c3d731e9019577312

Aliases

arxiv: gr-qc/0102028 · arxiv_version: gr-qc/0102028v4 · doi: 10.48550/arxiv.gr-qc/0102028 · pith_short_12: FBKFLQTF3TFB · pith_short_16: FBKFLQTF3TFBLLFC · pith_short_8: FBKFLQTF

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/FBKFLQTF3TFBLLFCJENKVMXPDO \
  | 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: 285455c265dcca15aca2491aaab2ef1bb58bca80655c023c3d731e9019577312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761d484e7f42ded2d1da7a1ba0f9580412601dfacb29163d170c3bae2d7ac762",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-07T16:30:17Z",
    "title_canon_sha256": "f4dd7e4c6a6cd5d1f7d79c4f5cb1b55170201018cada719ce5d2259487275016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102028",
    "kind": "arxiv",
    "version": 4
  }
}