Pith Number

pith:VZKYHFBY

pith:2016:VZKYHFBYQJ3CJDNAW7O7DNHF7B

not attested not anchored not stored refs pending

Dynamical maps, quantum detailed balance and Petz recovery map

\'Alvaro M. Alhambra, Mischa P. Woods

arxiv:1609.07496 v4 · 2016-09-23 · 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{VZKYHFBYQJ3CJDNAW7O7DNHF7B}

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	2026-05-18T00:37:54.797626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae558394388276248da0b7ddf1b4e5f8403fdc9e0fe30dc5441482e6ee0e3154

Aliases

arxiv: 1609.07496 · arxiv_version: 1609.07496v4 · doi: 10.48550/arxiv.1609.07496 · pith_short_12: VZKYHFBYQJ3C · pith_short_16: VZKYHFBYQJ3CJDNA · pith_short_8: VZKYHFBY

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/VZKYHFBYQJ3CJDNAW7O7DNHF7B \
  | 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: ae558394388276248da0b7ddf1b4e5f8403fdc9e0fe30dc5441482e6ee0e3154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac340aaaa9427a6468fd198fac1ad2515676fe5cf8fce5115d66d76491afe8ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-23T20:00:37Z",
    "title_canon_sha256": "e1b8151dc50e62d615776bc22fdbbbc764eec7c4d8cf9c41e22c6a0abae1fe9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07496",
    "kind": "arxiv",
    "version": 4
  }
}