Pith Number

pith:HQTZPMQZ

pith:2004:HQTZPMQZVERYJSFIKUH234VHHY

not attested not anchored not stored refs pending

On the representation of contextual probabilistic dynamics in the complex Hilbert space: linear and nonlinear evolutions, Schroedinger dynamics

Andrei Yu. Khrennikov

arxiv:quant-ph/0409128 v1 · 2004-09-20 · 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{HQTZPMQZVERYJSFIKUH234VHHY}

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	2026-05-18T01:37:58.335339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2797b219a92384c8a8550fadf2a73e0a5c084370abaef96b48128f08295306

Aliases

arxiv: quant-ph/0409128 · arxiv_version: quant-ph/0409128v1 · doi: 10.48550/arxiv.quant-ph/0409128 · pith_short_12: HQTZPMQZVERY · pith_short_16: HQTZPMQZVERYJSFI · pith_short_8: HQTZPMQZ

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/HQTZPMQZVERYJSFIKUH234VHHY \
  | 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: 3c2797b219a92384c8a8550fadf2a73e0a5c084370abaef96b48128f08295306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b88e520ac408b87e7fbd7bd38b91b9253c63bb080e9abe54d937852744cd0c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-09-20T11:12:08Z",
    "title_canon_sha256": "2e12311a13eee5bfab772d1f37924b4122d8a6a9f7ee85e57c188926da79a0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0409128",
    "kind": "arxiv",
    "version": 1
  }
}