Pith Number

pith:LZA63RJU

pith:2013:LZA63RJUBLVGJS4CPMD2RXQYE4

not attested not anchored not stored refs pending

Free probability, planar algebras, and the multicolored Guionnet-Jones-Shlyakhtenko construction

Michael Hartglass

arxiv:1311.5277 v1 · 2013-11-21 · 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{LZA63RJUBLVGJS4CPMD2RXQYE4}

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	2026-05-18T03:06:33.800678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e41edc5340aea64cb827b07a8de182713e13057e7ee5607a16d4786b6084f99

Aliases

arxiv: 1311.5277 · arxiv_version: 1311.5277v1 · doi: 10.48550/arxiv.1311.5277 · pith_short_12: LZA63RJUBLVG · pith_short_16: LZA63RJUBLVGJS4C · pith_short_8: LZA63RJU

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/LZA63RJUBLVGJS4CPMD2RXQYE4 \
  | 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: 5e41edc5340aea64cb827b07a8de182713e13057e7ee5607a16d4786b6084f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eaf1878cc0c535ebc8d8be1623f6341527b7cab1e9bc7c62bfe29d3d5214549",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-11-21T00:35:05Z",
    "title_canon_sha256": "a0a871e64304bd21367aadb73b3227fa22c03f9dd4d3666dbdb55ea437671fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5277",
    "kind": "arxiv",
    "version": 1
  }
}