Pith Number

pith:5TH232CD

pith:2010:5TH232CD7K3RNMKYQ4AAP4H4OE

not attested not anchored not stored refs pending

Universal commutative operator algebras and transfer function realizations of polynomials

Michael T. Jury

arxiv:1009.6219 v1 · 2010-09-30 · math.FA · 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{5TH232CD7K3RNMKYQ4AAP4H4OE}

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	2026-05-18T04:40:00.862355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eccfade843fab716b158870007f0fc7119d5dccb7eca1648ef284b235d825810

Aliases

arxiv: 1009.6219 · arxiv_version: 1009.6219v1 · doi: 10.48550/arxiv.1009.6219 · pith_short_12: 5TH232CD7K3R · pith_short_16: 5TH232CD7K3RNMKY · pith_short_8: 5TH232CD

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/5TH232CD7K3RNMKYQ4AAP4H4OE \
  | 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: eccfade843fab716b158870007f0fc7119d5dccb7eca1648ef284b235d825810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642d5f0fa9b3bbe9031eee363708f596003b5d2a847c2b606bb68f7773841a1e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-30T19:08:41Z",
    "title_canon_sha256": "1b06a85bcc53ab15333060204e15b75d1f86a2d7dba05fbfe2ed235905e044de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6219",
    "kind": "arxiv",
    "version": 1
  }
}