Pith Number

pith:LXMPHYEE

pith:2018:LXMPHYEE6JJL7CFE3QU2D3ITY7

not attested not anchored not stored refs pending

Functional Version for Furuta Parametric Relative Operator Entropy

Mustapha Ra\"issouli, Shigeru Furuichi

arxiv:1803.10944 v1 · 2018-03-29 · 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{LXMPHYEE6JJL7CFE3QU2D3ITY7}

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	2026-05-18T00:19:49.692126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd8f3e084f252bf88a4dc29a1ed13c7c1a1affd10a6e8ae50d78238a4213cac

Aliases

arxiv: 1803.10944 · arxiv_version: 1803.10944v1 · doi: 10.48550/arxiv.1803.10944 · pith_short_12: LXMPHYEE6JJL · pith_short_16: LXMPHYEE6JJL7CFE · pith_short_8: LXMPHYEE

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/LXMPHYEE6JJL7CFE3QU2D3ITY7 \
  | 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: 5dd8f3e084f252bf88a4dc29a1ed13c7c1a1affd10a6e8ae50d78238a4213cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cdf0615581701f46319135b5784ec871cb6560184e88e803f01260d74b59c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-29T07:42:40Z",
    "title_canon_sha256": "c2d9c8f8086a6d7d6154e7fef7803ab09bad8a57ed23fe8426cd60eff5fd2b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10944",
    "kind": "arxiv",
    "version": 1
  }
}