Pith Number

pith:UE5RJCFF

pith:2026:UE5RJCFFXDR46ENVG3S254XILL

not attested not anchored not stored refs pending

Normaloid Operators and the Root Problem

B.P. Duggal, C.S. Kubrusly, H.M. Stankovic

arxiv:2606.19738 v1 · 2026-06-18 · 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{UE5RJCFFXDR46ENVG3S254XILL}

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	2026-06-19T16:12:33.710618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13b1488a5b8e3cf11b536e5aef2e85ad201f238e55993a6761c76885691e364

Aliases

arxiv: 2606.19738 · arxiv_version: 2606.19738v1 · doi: 10.48550/arxiv.2606.19738 · pith_short_12: UE5RJCFFXDR4 · pith_short_16: UE5RJCFFXDR46ENV · pith_short_8: UE5RJCFF

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/UE5RJCFFXDR46ENVG3S254XILL \
  | 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: a13b1488a5b8e3cf11b536e5aef2e85ad201f238e55993a6761c76885691e364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4adb41017267cdf4299edba117ecfd4a5d98e8bc15ea537f9ba3556ce8a95bb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-18T03:06:28Z",
    "title_canon_sha256": "894b9cc20e2bd22e00404b80f3372752418b3ccd8d636a339d526d192ec7aad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19738",
    "kind": "arxiv",
    "version": 1
  }
}