Pith Number

pith:C6UNCMXU

pith:2011:C6UNCMXUZYQNGZVAQG3KTGAEPI

not attested not anchored not stored refs pending

Density conditions for quantum propositions

Hans Havlicek, Karl Svozil

arxiv:1108.5339 v1 · 2011-08-26 · math-ph · math.MP · 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{C6UNCMXUZYQNGZVAQG3KTGAEPI}

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	2026-05-18T04:14:38.500643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17a8d132f4ce20d366a081b6a998047a284d91c560e994afa4adfb51a7507286

Aliases

arxiv: 1108.5339 · arxiv_version: 1108.5339v1 · doi: 10.48550/arxiv.1108.5339 · pith_short_12: C6UNCMXUZYQN · pith_short_16: C6UNCMXUZYQNGZVA · pith_short_8: C6UNCMXU

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/C6UNCMXUZYQNGZVAQG3KTGAEPI \
  | 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: 17a8d132f4ce20d366a081b6a998047a284d91c560e994afa4adfb51a7507286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701e37e4e63d3684f29d1ee7b193a37986dc37a084dbedc6414ca44be2c1f883",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-26T15:57:11Z",
    "title_canon_sha256": "5a2a6a888262fe9b34d55f09daf0bebe48344038390412a2655652b56953eb2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5339",
    "kind": "arxiv",
    "version": 1
  }
}