Pith Number

pith:3AKYXYOI

pith:2013:3AKYXYOIAA5VRBWKHIESI46JFU

not attested not anchored not stored refs pending

On the unilateral shift as a Hilbert module over the disc algebra

Rapha\"el Clou\^atre

arxiv:1302.6170 v2 · 2013-02-25 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AKYXYOIAA5VRBWKHIESI46JFU}

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	2026-05-18T02:51:23.453835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8158be1c8003b5886ca3a092473c92d299137b1e00b691c44bc14751e4a5eda

Aliases

arxiv: 1302.6170 · arxiv_version: 1302.6170v2 · doi: 10.48550/arxiv.1302.6170 · pith_short_12: 3AKYXYOIAA5V · pith_short_16: 3AKYXYOIAA5VRBWK · pith_short_8: 3AKYXYOI

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/3AKYXYOIAA5VRBWKHIESI46JFU \
  | 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: d8158be1c8003b5886ca3a092473c92d299137b1e00b691c44bc14751e4a5eda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7360e64cee76ee56b8f9230af3386f88dd7a657ea68e1b6db2590a39e1476fb6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-02-25T17:39:04Z",
    "title_canon_sha256": "693e3763ef9d1313c16b041416c5f8c1c7738e4fdbc9e4fd9152040a5ed7ddbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6170",
    "kind": "arxiv",
    "version": 2
  }
}