Pith Number

pith:LLCZDPGX

pith:2013:LLCZDPGXX4BZ4OIHGCKPGRPDQ7

not attested not anchored not stored refs pending

Probability and the Classical/Quantum Divide

Subhash Kak

arxiv:1309.2238 v1 · 2013-09-09 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLCZDPGXX4BZ4OIHGCKPGRPDQ7}

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	2026-05-18T02:59:34.591632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac591bcd7bf039e39073094f345e387c89ac0b394db69bc19832c0bdeb6008d

Aliases

arxiv: 1309.2238 · arxiv_version: 1309.2238v1 · doi: 10.48550/arxiv.1309.2238 · pith_short_12: LLCZDPGXX4BZ · pith_short_16: LLCZDPGXX4BZ4OIH · pith_short_8: LLCZDPGX

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/LLCZDPGXX4BZ4OIHGCKPGRPDQ7 \
  | 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: 5ac591bcd7bf039e39073094f345e387c89ac0b394db69bc19832c0bdeb6008d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b24b8cf00c7421f8cb23b2f34992512a690a0f73525cf8578d8efd3719b2dadc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-09T17:45:46Z",
    "title_canon_sha256": "48ebb37f40161e1268e82cb4a8d40b7c4ec8d637b6a415f4a3fd5e242b236945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2238",
    "kind": "arxiv",
    "version": 1
  }
}