Pith Number

pith:FH5OS4QJ

pith:2006:FH5OS4QJ6SARXFAV3DEFGPKLJ3

not attested not anchored not stored refs pending

Isometric Dilations of Representations of Product Systems via Commutants

Michael Skeide

arxiv:math/0602459 v2 · 2006-02-21 · 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{FH5OS4QJ6SARXFAV3DEFGPKLJ3}

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	2026-05-18T03:06:43.243089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29fae97209f4811b9415d8c8533d4b4ed3d58366b9a4d1019eb0f93d02ee79d9

Aliases

arxiv: math/0602459 · arxiv_version: math/0602459v2 · doi: 10.48550/arxiv.math/0602459 · pith_short_12: FH5OS4QJ6SAR · pith_short_16: FH5OS4QJ6SARXFAV · pith_short_8: FH5OS4QJ

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/FH5OS4QJ6SARXFAV3DEFGPKLJ3 \
  | 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: 29fae97209f4811b9415d8c8533d4b4ed3d58366b9a4d1019eb0f93d02ee79d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e5d2cf73a4b6ab071f67e2638bbb3d51b8d31bb5fac0d271df44f7dd61b113",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-02-21T13:41:02Z",
    "title_canon_sha256": "8959575488013e1a39700056b58f6f23f68f5b0eda6063f69d8f2fce38dd9c3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602459",
    "kind": "arxiv",
    "version": 2
  }
}