Pith Number

pith:HVXPTUOU

pith:2004:HVXPTUOU4MCZG42ZHAUCIL6A5J

not attested not anchored not stored refs pending

The Importance of Being Unistochastic

Ingemar Bengtsson

arxiv:quant-ph/0403088 v1 · 2004-03-11 · 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{HVXPTUOU4MCZG42ZHAUCIL6A5J}

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

The Born Representation Theorem and the Unistochastic Theorem

Receipt and verification

First computed	2026-07-04T14:46:32.888110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d6ef9d1d4e3059373593828242fc0ea72a04700f66d7366b57debf8029f2626

Aliases

arxiv: quant-ph/0403088 · arxiv_version: quant-ph/0403088v1 · doi: 10.48550/arxiv.quant-ph/0403088 · pith_short_12: HVXPTUOU4MCZ · pith_short_16: HVXPTUOU4MCZG42Z · pith_short_8: HVXPTUOU

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/HVXPTUOU4MCZG42ZHAUCIL6A5J \
  | 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: 3d6ef9d1d4e3059373593828242fc0ea72a04700f66d7366b57debf8029f2626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb73bbd0cbf588f0137050d110b754f29fc8b435ca926a0fde3ee0d10f11df0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-03-11T13:29:49Z",
    "title_canon_sha256": "ecace797b146837e0c48bed04f0135ecc20d3b3e76437f5a2eae930395b58b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0403088",
    "kind": "arxiv",
    "version": 1
  }
}