Pith Number

pith:P5SSXX26

pith:2026:P5SSXX26GEQ6PENMBLUCPTXF22

not attested not anchored not stored refs pending

Connecting Quantum Tomography and Quantum Retrodiction

Dominik \v{S}afr\'anek, Fabian M\"uller, Ian Tan, Sebastian Murk

arxiv:2606.23777 v1 · 2026-06-22 · quant-ph · math-ph · math.MP · math.ST · physics.data-an · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5SSXX26GEQ6PENMBLUCPTXF22}

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	2026-06-24T00:14:25.850488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f652bdf5e3121e791ac0ae827cee5d6860a7cde423e964f2a00a28675e2e67c

Aliases

arxiv: 2606.23777 · arxiv_version: 2606.23777v1 · doi: 10.48550/arxiv.2606.23777 · pith_short_12: P5SSXX26GEQ6 · pith_short_16: P5SSXX26GEQ6PENM · pith_short_8: P5SSXX26

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/P5SSXX26GEQ6PENMBLUCPTXF22 \
  | 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: 7f652bdf5e3121e791ac0ae827cee5d6860a7cde423e964f2a00a28675e2e67c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f32c71966e0500a8f885d4799ac0d2677d466847b2fe1e10c898b9b2323728",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "physics.data-an",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-22T18:00:00Z",
    "title_canon_sha256": "6173a8f09c127453e38d69e0c6a0308bd2b42ad03a8e05e3cc56031c84bf673b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23777",
    "kind": "arxiv",
    "version": 1
  }
}