Pith Number

pith:JG2FHPVL

pith:2017:JG2FHPVLOSEXERP3ZEVW4BLNVT

not attested not anchored not stored refs pending

Mutual Uncertainty, Conditional Uncertainty and Strong Sub-Additivity

Arun K. Pati, Pankaj Agrawal, Satyabrata Adhikari, Sk Sazim

arxiv:1702.07576 v3 · 2017-02-24 · 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{JG2FHPVLOSEXERP3ZEVW4BLNVT}

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	2026-05-18T00:04:24.179692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b453beab74897245fbc92b6e056dacc286d6e3ecbf38939644d2cbac05292d

Aliases

arxiv: 1702.07576 · arxiv_version: 1702.07576v3 · doi: 10.48550/arxiv.1702.07576 · pith_short_12: JG2FHPVLOSEX · pith_short_16: JG2FHPVLOSEXERP3 · pith_short_8: JG2FHPVL

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/JG2FHPVLOSEXERP3ZEVW4BLNVT \
  | 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: 49b453beab74897245fbc92b6e056dacc286d6e3ecbf38939644d2cbac05292d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c195a99d8b2b3cddf9cba76c1600359d1e6372cd5390f21da434f206613d4ad7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-02-24T13:37:32Z",
    "title_canon_sha256": "8570f4b6c6734537aa0ede44c2ca99ad6f5c858493e0a4be102de567e3be638a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07576",
    "kind": "arxiv",
    "version": 3
  }
}