Pith Number

pith:BQUUM6AV

pith:2021:BQUUM6AV72CE4WQPTFPFQ2LD42

not attested not anchored not stored refs pending

Tight constraints on probabilistic convertibility of quantum states

Bartosz Regula

arxiv:2112.11321 v4 · 2021-12-21 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQUUM6AV72CE4WQPTFPFQ2LD42}

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	2026-07-05T06:23:43.501946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c29467815fe844e5a0f995e586963e690c29983dd5722ca0df07b36c707302a

Aliases

arxiv: 2112.11321 · arxiv_version: 2112.11321v4 · doi: 10.48550/arxiv.2112.11321 · pith_short_12: BQUUM6AV72CE · pith_short_16: BQUUM6AV72CE4WQP · pith_short_8: BQUUM6AV

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/BQUUM6AV72CE4WQPTFPFQ2LD42 \
  | 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: 0c29467815fe844e5a0f995e586963e690c29983dd5722ca0df07b36c707302a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6372a97cc29c2aa38c598c57994a04f51dabad3a2dd0f4c364e8c8ba295003e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-21T16:14:55Z",
    "title_canon_sha256": "1c494ae6c8de63dcdc68f6f8b0bf0feb650213530589aa67d8d615deb50639ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.11321",
    "kind": "arxiv",
    "version": 4
  }
}