Pith Number

pith:WW5TLPBB

pith:2015:WW5TLPBBTRAI6ZZTLMAXP2TFKZ

not attested not anchored not stored refs pending

Entropic measures of joint uncertainty: effects of lack of majorization

Alfredo Luis, Gustavo Mart\'in Bosyk, Mariela Portesi

arxiv:1501.06667 v2 · 2015-01-27 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW5TLPBBTRAI6ZZTLMAXP2TFKZ}

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	2026-05-18T01:26:58.045162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bb35bc219c408f67335b0177ea655654c6b4cf7d96c88844745fbafac09d9e

Aliases

arxiv: 1501.06667 · arxiv_version: 1501.06667v2 · doi: 10.48550/arxiv.1501.06667 · pith_short_12: WW5TLPBBTRAI · pith_short_16: WW5TLPBBTRAI6ZZT · pith_short_8: WW5TLPBB

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/WW5TLPBBTRAI6ZZTLMAXP2TFKZ \
  | 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: b5bb35bc219c408f67335b0177ea655654c6b4cf7d96c88844745fbafac09d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840dc2e2bf37a5000f178e1cf0059e12b6168cf723f3ca622e9109aded9d73e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-27T06:57:14Z",
    "title_canon_sha256": "81004a6f8e1ba4c13edd1ee920c59a14e5e3b94c3784bb4059c91e44466d9f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06667",
    "kind": "arxiv",
    "version": 2
  }
}