Pith Number

pith:CF3LX6QT

pith:2010:CF3LX6QT4XLP4OJ5KA3RUNEAUZ

not attested not anchored not stored refs pending

A transform of complementary aspects with applications to entropic uncertainty relations

Niranjan Balachandran, Prabha Mandayam, Stephanie Wehner

arxiv:1004.5086 v2 · 2010-04-28 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CF3LX6QT4XLP4OJ5KA3RUNEAUZ}

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	2026-05-18T04:23:11.724123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1176bbfa13e5d6fe393d50371a3480a6593dc92a010b8b9f60f97e9472fd2f60

Aliases

arxiv: 1004.5086 · arxiv_version: 1004.5086v2 · doi: 10.48550/arxiv.1004.5086 · pith_short_12: CF3LX6QT4XLP · pith_short_16: CF3LX6QT4XLP4OJ5 · pith_short_8: CF3LX6QT

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/CF3LX6QT4XLP4OJ5KA3RUNEAUZ \
  | 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: 1176bbfa13e5d6fe393d50371a3480a6593dc92a010b8b9f60f97e9472fd2f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa203ac33c4e402bd3010c0ef70303cfca3e8bbc09f42d3af127c93ddb6254f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-28T17:26:43Z",
    "title_canon_sha256": "d4c317b247ddb6d568e6569876f389d9f334468e790bba7051b5292a73bd846a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5086",
    "kind": "arxiv",
    "version": 2
  }
}