Pith Number

pith:SF6XGB2R

pith:2015:SF6XGB2RTS4RXWIX3FGE64DLAX

not attested not anchored not stored refs pending

Hilbert modules over a planar algebra and the Haagerup property

Arnaud Brothier, Vaughan Jones

arxiv:1503.02708 v1 · 2015-03-09 · math.OA · math.CT · math.FA · 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{SF6XGB2RTS4RXWIX3FGE64DLAX}

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	2026-05-18T02:25:17.977117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917d7307519cb91bd917d94c4f706b05fb1714c31ce4ec611399c6411d49801f

Aliases

arxiv: 1503.02708 · arxiv_version: 1503.02708v1 · doi: 10.48550/arxiv.1503.02708 · pith_short_12: SF6XGB2RTS4R · pith_short_16: SF6XGB2RTS4RXWIX · pith_short_8: SF6XGB2R

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/SF6XGB2RTS4RXWIX3FGE64DLAX \
  | 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: 917d7307519cb91bd917d94c4f706b05fb1714c31ce4ec611399c6411d49801f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a4561f6af06eec1c7ae920c747d675c55d4fb6a15f58199642000ce1fbff1a",
    "cross_cats_sorted": [
      "math.CT",
      "math.FA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-03-09T21:50:40Z",
    "title_canon_sha256": "2479fe9471a2c77b2795b8089d14089d9dd7a9390187774009245e672c784b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02708",
    "kind": "arxiv",
    "version": 1
  }
}