Pith Number

pith:7AOYVZJC

pith:2007:7AOYVZJCJ6RWYYH3KIDVD22MWM

not attested not anchored not stored refs pending

Representing a product system representation as a contractive semigroup and applications to regular isometric dilations

Orr Shalit

arxiv:0706.3178 v1 · 2007-06-21 · 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{7AOYVZJCJ6RWYYH3KIDVD22MWM}

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	2026-05-18T04:22:11.668347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81d8ae5224fa36c60fb520751eb4cb33b28a6f786829fe493cca5aff9cf8dfb

Aliases

arxiv: 0706.3178 · arxiv_version: 0706.3178v1 · doi: 10.48550/arxiv.0706.3178 · pith_short_12: 7AOYVZJCJ6RW · pith_short_16: 7AOYVZJCJ6RWYYH3 · pith_short_8: 7AOYVZJC

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/7AOYVZJCJ6RWYYH3KIDVD22MWM \
  | 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: f81d8ae5224fa36c60fb520751eb4cb33b28a6f786829fe493cca5aff9cf8dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416a9da3fe813a600dac5c3b06700d4d39749658013404c6722ae6e43fdd44cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-06-21T15:37:46Z",
    "title_canon_sha256": "4f7ff9842dad40625ed2877d63aefd33efa87521324b894aa5da9df3da3b2bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3178",
    "kind": "arxiv",
    "version": 1
  }
}