Pith Number

pith:LW2LPFDS

pith:2017:LW2LPFDSGPJ3CN6N6KN7MVSCMC

not attested not anchored not stored refs pending

Q-systems and compact W*-algebra objects

Corey Jones, David Penneys

arxiv:1707.02155 v1 · 2017-07-07 · math.OA · math.CT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LW2LPFDSGPJ3CN6N6KN7MVSCMC}

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	2026-05-18T00:40:42.712246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db4b7947233d3b137cdf29bf6564260862a8e4fd0a29971be1164c8d2de8422

Aliases

arxiv: 1707.02155 · arxiv_version: 1707.02155v1 · doi: 10.48550/arxiv.1707.02155 · pith_short_12: LW2LPFDSGPJ3 · pith_short_16: LW2LPFDSGPJ3CN6N · pith_short_8: LW2LPFDS

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/LW2LPFDSGPJ3CN6N6KN7MVSCMC \
  | 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: 5db4b7947233d3b137cdf29bf6564260862a8e4fd0a29971be1164c8d2de8422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0e7a94c2dba262da40c646fd1211668dfe6b6c700809000f38ee4aa078e4c6",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-07-07T13:08:59Z",
    "title_canon_sha256": "4593e269c2700f60ee7d9bed19752da0a62100afcf998cc857bea00115e411b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02155",
    "kind": "arxiv",
    "version": 1
  }
}