Pith Number

pith:6S2MARGX

pith:2017:6S2MARGX6ZK36HLLINVINKYD2P

not attested not anchored not stored refs pending

Lifting shadings on symmetrically self-dual subfactor planar algebras

David Penneys, Scott Morrison, Zhengwei Liu

arxiv:1709.05023 v1 · 2017-09-15 · 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{6S2MARGX6ZK36HLLINVINKYD2P}

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	2026-05-18T00:35:06.928998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4b4c044d7f655bf1d6b436a86ab03d3c3b4b4008136564ecce3ac81c0f5db67

Aliases

arxiv: 1709.05023 · arxiv_version: 1709.05023v1 · doi: 10.48550/arxiv.1709.05023 · pith_short_12: 6S2MARGX6ZK3 · pith_short_16: 6S2MARGX6ZK36HLL · pith_short_8: 6S2MARGX

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/6S2MARGX6ZK36HLLINVINKYD2P \
  | 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: f4b4c044d7f655bf1d6b436a86ab03d3c3b4b4008136564ecce3ac81c0f5db67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41deeb749a965102ee8da7c31eb844e11f5ce6ef0a7b7e94c5e1f703bcc9b119",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-09-15T01:00:34Z",
    "title_canon_sha256": "42bc5838c62a0930b1406b640eabdb66dff7488b4293d6797da1e2ba8c9970a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05023",
    "kind": "arxiv",
    "version": 1
  }
}