Pith Number

pith:TOEIKCWZ

pith:2011:TOEIKCWZCOKIWS53P6PMFC34CJ

not attested not anchored not stored refs pending

Spectral triples for the Sierpinski Gasket

D. Guido, F. Cipriani, J-L. Sauvageot, T. Isola

arxiv:1112.6401 v3 · 2011-12-29 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOEIKCWZCOKIWS53P6PMFC34CJ}

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	2026-05-18T02:56:04.130227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b88850ad913948b4bbb7f9ec28b7c12508f25b3787031bfc0b1557cd3f3f18c

Aliases

arxiv: 1112.6401 · arxiv_version: 1112.6401v3 · doi: 10.48550/arxiv.1112.6401 · pith_short_12: TOEIKCWZCOKI · pith_short_16: TOEIKCWZCOKIWS53 · pith_short_8: TOEIKCWZ

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/TOEIKCWZCOKIWS53P6PMFC34CJ \
  | 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: 9b88850ad913948b4bbb7f9ec28b7c12508f25b3787031bfc0b1557cd3f3f18c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "956b334213a2ed69360f15281fffd18c3cbf81a6cf47db88e6ba5a5eb3d5ba46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-29T20:00:21Z",
    "title_canon_sha256": "4b8146526305dc713df81170e4122fa5f53e74285f64825bec05e78923d56e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6401",
    "kind": "arxiv",
    "version": 3
  }
}