Pith Number

pith:JZFTFCR5

pith:2026:JZFTFCR5DV66I73LXULT7N2XGM

not attested not anchored not stored refs pending

Ergodicity of the bicentralizer flow and Kadison's problem

Amine Marrakchi

arxiv:2606.23636 v1 · 2026-06-22 · 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{JZFTFCR5DV66I73LXULT7N2XGM}

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	2026-06-23T03:14:32.959306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4b328a3d1d7de47f6bbd173fb7573305c7b42b0df4f7dfb10e6172282a9600

Aliases

arxiv: 2606.23636 · arxiv_version: 2606.23636v1 · doi: 10.48550/arxiv.2606.23636 · pith_short_12: JZFTFCR5DV66 · pith_short_16: JZFTFCR5DV66I73L · pith_short_8: JZFTFCR5

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/JZFTFCR5DV66I73LXULT7N2XGM \
  | 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: 4e4b328a3d1d7de47f6bbd173fb7573305c7b42b0df4f7dfb10e6172282a9600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67c407a650990e0bff2d705d0b674792f6a2abc671a3e48dbd8c7d0614157b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-22T17:27:28Z",
    "title_canon_sha256": "0409303078e11fdb4cb41ace93924cebb3d10de481571ac7a8010dea4d97708d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23636",
    "kind": "arxiv",
    "version": 1
  }
}