Pith Number

pith:L4BRYS3U

pith:2025:L4BRYS3UD2HTRXRH2SMSKMGJ6R

not attested not anchored not stored refs pending

The Free Functional Calculus in General

Julian Bushelli

arxiv:2506.00170 v1 · 2025-05-30 · math.CT · math.FA · 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{L4BRYS3UD2HTRXRH2SMSKMGJ6R}

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	2026-07-05T11:13:30.108821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f031c4b741e8f38de27d4992530c9f44ffb5d8f20a37865616a42d44029f6ff

Aliases

arxiv: 2506.00170 · arxiv_version: 2506.00170v1 · doi: 10.48550/arxiv.2506.00170 · pith_short_12: L4BRYS3UD2HT · pith_short_16: L4BRYS3UD2HTRXRH · pith_short_8: L4BRYS3U

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/L4BRYS3UD2HTRXRH2SMSKMGJ6R \
  | 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: 5f031c4b741e8f38de27d4992530c9f44ffb5d8f20a37865616a42d44029f6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867074c62387a0958de50e896eba214dbbbdce6e84c4fc771b50851ee5623ef9",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-05-30T19:16:21Z",
    "title_canon_sha256": "558ddb805bdbe8687783bdc35eb4a4510d693dd18ae5ed305ffaac8e4b91fb8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.00170",
    "kind": "arxiv",
    "version": 1
  }
}