Pith Number

pith:L3QOUAHF

pith:2026:L3QOUAHFLUUVQFDJGXTEWCODZZ

not attested not anchored not stored refs pending

Finite sum of squares, finite realization and noncommutative Carath\'eodory approximation

Chandan Pradhan, James Eldred Pascoe, Tirthankar Bhattacharyya

arxiv:2606.06382 v1 · 2026-06-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3QOUAHFLUUVQFDJGXTEWCODZZ}

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	2026-06-05T01:15:43.913307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee0ea00e55d2958146935e64b09c3ce7b0af0cec42afd84aa65894e85e282ca

Aliases

arxiv: 2606.06382 · arxiv_version: 2606.06382v1 · doi: 10.48550/arxiv.2606.06382 · pith_short_12: L3QOUAHFLUUV · pith_short_16: L3QOUAHFLUUVQFDJ · pith_short_8: L3QOUAHF

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/L3QOUAHFLUUVQFDJGXTEWCODZZ \
  | 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: 5ee0ea00e55d2958146935e64b09c3ce7b0af0cec42afd84aa65894e85e282ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e0ea53f5dce8dfb1bec73d242954f96222bae1ca64ba0a6678c2271d4988da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-04T16:48:06Z",
    "title_canon_sha256": "49d4c83d57a1a752a18ccaf0bf093ac9b1625f34bc723f67b2cb86bcc5afe8b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06382",
    "kind": "arxiv",
    "version": 1
  }
}