Pith Number

pith:NJDFKKIP

pith:2018:NJDFKKIPJ7LD7DHLLWKKEQNAMW

not attested not anchored not stored refs pending

Crossed products of operator systems

Samuel J. Harris, Se-Jin Kim

arxiv:1803.10759 v3 · 2018-03-28 · 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{NJDFKKIPJ7LD7DHLLWKKEQNAMW}

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	2026-05-17T23:54:34.484169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4655290f4fd63f8ceb5d94a241a065a13db88763121cb184b366f0882730b8

Aliases

arxiv: 1803.10759 · arxiv_version: 1803.10759v3 · doi: 10.48550/arxiv.1803.10759 · pith_short_12: NJDFKKIPJ7LD · pith_short_16: NJDFKKIPJ7LD7DHL · pith_short_8: NJDFKKIP

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/NJDFKKIPJ7LD7DHLLWKKEQNAMW \
  | 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: 6a4655290f4fd63f8ceb5d94a241a065a13db88763121cb184b366f0882730b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b4a97da40b2385d1f7241b8c254ce790abd6f7fc883a9e1358a5f0b2b47415",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-03-28T17:53:40Z",
    "title_canon_sha256": "06434eb3dfc5845ad824dc9a5248e9cd78836420c04e11a633585fb21722476f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10759",
    "kind": "arxiv",
    "version": 3
  }
}