Pith Number

pith:MFI5CWOV

pith:2012:MFI5CWOVUYYBVE2C3JYR7FH3BC

not attested not anchored not stored refs pending

Spectral triples from stationary Bratteli diagrams

Jean Savinien, Johannes Kellendonk

arxiv:1210.7360 v2 · 2012-10-27 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFI5CWOVUYYBVE2C3JYR7FH3BC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:28:55.421750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6151d159d5a6301a9342da711f94fb08b3b3a9537f0902cb76d13af3f1d63ef4

Aliases

arxiv: 1210.7360 · arxiv_version: 1210.7360v2 · doi: 10.48550/arxiv.1210.7360 · pith_short_12: MFI5CWOVUYYB · pith_short_16: MFI5CWOVUYYBVE2C · pith_short_8: MFI5CWOV

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/MFI5CWOVUYYBVE2C3JYR7FH3BC \
  | 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: 6151d159d5a6301a9342da711f94fb08b3b3a9537f0902cb76d13af3f1d63ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ae54ab03f85178ac1a09eb9eff4f37cd81286dae49c997bc1976173a0414fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-27T19:01:02Z",
    "title_canon_sha256": "1629f8024041a68a86c29dd5a959c780038151efe48e8d3890ae5a4df8abd72a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7360",
    "kind": "arxiv",
    "version": 2
  }
}