Pith Number

pith:FEZUSFDD

pith:2003:FEZUSFDDNSR7ETVHUAJNZG35FX

not attested not anchored not stored refs pending

Why can states and measurement outcomes be represented as vectors?

Piero G. L. Mana

arxiv:quant-ph/0305117 v3 · 2003-05-20 · 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{FEZUSFDDNSR7ETVHUAJNZG35FX}

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.

Cited by

1 paper in Pith

Generalised Probabilistic Theories

Receipt and verification

First computed	2026-07-04T14:46:11.272304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29334914636ca3f24ea7a012dc9b7d2dcf8459063056f26c13d7bda9671a67f2

Aliases

arxiv: quant-ph/0305117 · arxiv_version: quant-ph/0305117v3 · doi: 10.48550/arxiv.quant-ph/0305117 · pith_short_12: FEZUSFDDNSR7 · pith_short_16: FEZUSFDDNSR7ETVH · pith_short_8: FEZUSFDD

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/FEZUSFDDNSR7ETVHUAJNZG35FX \
  | 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: 29334914636ca3f24ea7a012dc9b7d2dcf8459063056f26c13d7bda9671a67f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736567b6ef2a7407eaac9e6918375de8951c9203ae66e094cec852d0d480ba06",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-05-20T23:40:11Z",
    "title_canon_sha256": "63a76f8e04d965c5c6d172f7b985f5cf6057116e4e74f13d6e61faea3d4ac2cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0305117",
    "kind": "arxiv",
    "version": 3
  }
}