Pith Number

pith:5WQ7N4JQ

pith:2017:5WQ7N4JQ4B3CSEA2GVF7BFZBHT

not attested not anchored not stored refs pending

Some extensions of the operator entropy type inequalities

Ali Morassaei, Mojtaba Bakherad

arxiv:1704.02214 v1 · 2017-04-07 · 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{5WQ7N4JQ4B3CSEA2GVF7BFZBHT}

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	2026-05-18T00:46:50.391019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda1f6f130e07629101a354bf097213ccecb34c04aa6f6ec28c5bec8bc925bbf

Aliases

arxiv: 1704.02214 · arxiv_version: 1704.02214v1 · doi: 10.48550/arxiv.1704.02214 · pith_short_12: 5WQ7N4JQ4B3C · pith_short_16: 5WQ7N4JQ4B3CSEA2 · pith_short_8: 5WQ7N4JQ

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/5WQ7N4JQ4B3CSEA2GVF7BFZBHT \
  | 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: eda1f6f130e07629101a354bf097213ccecb34c04aa6f6ec28c5bec8bc925bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ecf3792f94946a9cf8ce1174a16bc091d78e99d161691f5218253ef456bb2eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-07T13:04:56Z",
    "title_canon_sha256": "e1ed08c249b994fc65947f7a11a9bc518fce0c7eeaaedee537d434f93699b390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02214",
    "kind": "arxiv",
    "version": 1
  }
}