Pith Number

pith:ZST5CSKE

pith:2012:ZST5CSKEHXTKF3Z2AOQLYE6BR3

not attested not anchored not stored refs pending

Representable linear functionals on partial *-algebras

Atsushi Inoue, Camillo TRapani, Fabio Bagarello

arxiv:1207.2019 v1 · 2012-07-09 · math-ph · math.MP · 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{ZST5CSKEHXTKF3Z2AOQLYE6BR3}

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	2026-05-18T03:51:26.266105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca7d149443de6a2ef3a03a0bc13c18ef5cb566e1d76cd168d210aa7f7bccfcb

Aliases

arxiv: 1207.2019 · arxiv_version: 1207.2019v1 · doi: 10.48550/arxiv.1207.2019 · pith_short_12: ZST5CSKEHXTK · pith_short_16: ZST5CSKEHXTKF3Z2 · pith_short_8: ZST5CSKE

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/ZST5CSKEHXTKF3Z2AOQLYE6BR3 \
  | 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: cca7d149443de6a2ef3a03a0bc13c18ef5cb566e1d76cd168d210aa7f7bccfcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e88d543c8e016aa9b878b63d00e9698b6804c61d8b4ab0b1ac4310989b3d665",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-09T12:10:04Z",
    "title_canon_sha256": "79633b722604e44f24927b1370240eef50532a0a02b17e3cc9249eff29908c6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2019",
    "kind": "arxiv",
    "version": 1
  }
}