Pith Number

pith:LSL7DBW7

pith:2026:LSL7DBW73TXW5V2FLTNHJA7Q7M

not attested not anchored not stored refs pending

Questions on the structure of random embeddings of $L(\mathbb{F}_2)$

Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli

arxiv:2606.02985 v1 · 2026-06-02 · math.OA · math.FA · math.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSL7DBW73TXW5V2FLTNHJA7Q7M}

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	2026-06-03T01:05:28.542899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c97f186dfdcef6ed7455cda7483f0fb0f9bb312cb8365c9b2b2019373d55300

Aliases

arxiv: 2606.02985 · arxiv_version: 2606.02985v1 · doi: 10.48550/arxiv.2606.02985 · pith_short_12: LSL7DBW73TXW · pith_short_16: LSL7DBW73TXW5V2F · pith_short_8: LSL7DBW7

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/LSL7DBW73TXW5V2FLTNHJA7Q7M \
  | 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: 5c97f186dfdcef6ed7455cda7483f0fb0f9bb312cb8365c9b2b2019373d55300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0157bc9e21e73175681a63b10c270880f6e3d4e2badff699fd533bf9e5ef34",
    "cross_cats_sorted": [
      "math.FA",
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-06-02T00:43:51Z",
    "title_canon_sha256": "0e2402a1a0b47abcbc706befa3022e5058a0cf072a618bfefd311d355b00a274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02985",
    "kind": "arxiv",
    "version": 1
  }
}