Pith Number

pith:RYCWQZ4V

pith:2004:RYCWQZ4V3EST7Q35XGVKDFZXR4

not attested not anchored not stored refs pending

Fuzzy Torus in Matrix Model

Fukuichiro Kubo (Kyoto Univ.), Hikaru Kawai, Masanori Hanada, Subrata Bal (RIKEN)

arxiv:hep-th/0412303 v1 · 2004-12-27 · 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{RYCWQZ4V3EST7Q35XGVKDFZXR4}

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	2026-07-04T17:24:45.641533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e05686795d9253fc37db9aaa197378f360259bda0f8185487fd5e7784bde2c6

Aliases

arxiv: hep-th/0412303 · arxiv_version: hep-th/0412303v1 · doi: 10.48550/arxiv.hep-th/0412303 · pith_short_12: RYCWQZ4V3EST · pith_short_16: RYCWQZ4V3EST7Q35 · pith_short_8: RYCWQZ4V

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/RYCWQZ4V3EST7Q35XGVKDFZXR4 \
  | 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: 8e05686795d9253fc37db9aaa197378f360259bda0f8185487fd5e7784bde2c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75c75609096501fc50e76834705169792c1686c251c15415840e8e0d52d499c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-27T13:41:29Z",
    "title_canon_sha256": "497690a944d94e6132bedf3bc4f06730aec7cf31bff2d4473e35dd0046785306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412303",
    "kind": "arxiv",
    "version": 1
  }
}