Pith Number

pith:Y7CJ2PZU

pith:2014:Y7CJ2PZUJB2IVBU4RO3SYMZHSL

not attested not anchored not stored refs pending

Irreducible Representations of Bost-Connes systems

Takuya Takeishi

arxiv:1412.6900 v2 · 2014-12-22 · math.OA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7CJ2PZUJB2IVBU4RO3SYMZHSL}

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	2026-05-18T01:27:46.412372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c49d3f3448748a869c8bb72c332792d71499b63150ec55369a1d0eefba9ae2

Aliases

arxiv: 1412.6900 · arxiv_version: 1412.6900v2 · doi: 10.48550/arxiv.1412.6900 · pith_short_12: Y7CJ2PZUJB2I · pith_short_16: Y7CJ2PZUJB2IVBU4 · pith_short_8: Y7CJ2PZU

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/Y7CJ2PZUJB2IVBU4RO3SYMZHSL \
  | 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: c7c49d3f3448748a869c8bb72c332792d71499b63150ec55369a1d0eefba9ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a43b5978152110f4416c6f9c150854ab79b4a0ad96b2dfc11d3ef30da06c97",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-22T08:30:30Z",
    "title_canon_sha256": "b0bd008ee65511793b5971b0b00a56e4d9ac64ec5ef96bb85772362c0212c3df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6900",
    "kind": "arxiv",
    "version": 2
  }
}