Pith Number

pith:NACTIXWK

pith:2013:NACTIXWKT7UV5NCE3OEXH2QD5A

not attested not anchored not stored refs pending

On the Choi-Effros multiplication

Bebe Prunaru

arxiv:1304.6664 v2 · 2013-04-24 · 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{NACTIXWKT7UV5NCE3OEXH2QD5A}

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	2026-05-18T03:27:02.829053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6805345eca9fe95eb444db8973ea03e8268e44cd082c3dbad46079c2eab8bc45

Aliases

arxiv: 1304.6664 · arxiv_version: 1304.6664v2 · doi: 10.48550/arxiv.1304.6664 · pith_short_12: NACTIXWKT7UV · pith_short_16: NACTIXWKT7UV5NCE · pith_short_8: NACTIXWK

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/NACTIXWKT7UV5NCE3OEXH2QD5A \
  | 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: 6805345eca9fe95eb444db8973ea03e8268e44cd082c3dbad46079c2eab8bc45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51fceb5ce81c4ce6c46f67fc50ec4f27d0bf5ea93f22a115ed1fed49e7eb5ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-24T16:57:02Z",
    "title_canon_sha256": "30fe0dffa8c6703abef7385d67d219675b6efbe367095d002f0be1af2d8ba45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6664",
    "kind": "arxiv",
    "version": 2
  }
}