Pith Number

pith:DWXGCW6M

pith:2020:DWXGCW6MYPY4YYDEAMDXRNHFZU

not attested not anchored not stored refs pending

Thermal Operations in general are not memoryless

Andrzej Grudka, Christopher Perry, Edgar A. Aguilar, Hanna Wojew\'odka-\'Sci\k{a}\.zko, Karol Horodecki, Maciej Stankiewicz, Micha{\l} Horodecki, Piotr \'Cwikli\'nski

arxiv:2009.03110 v2 · 2020-09-07 · 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{DWXGCW6MYPY4YYDEAMDXRNHFZU}

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	2026-06-29T01:15:01.516564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dae615bccc3f1cc6064030778b4e5cd068e6b212ef04d7fbc4e4c5caf630c95

Aliases

arxiv: 2009.03110 · arxiv_version: 2009.03110v2 · doi: 10.48550/arxiv.2009.03110 · pith_short_12: DWXGCW6MYPY4 · pith_short_16: DWXGCW6MYPY4YYDE · pith_short_8: DWXGCW6M

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/DWXGCW6MYPY4YYDEAMDXRNHFZU \
  | 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: 1dae615bccc3f1cc6064030778b4e5cd068e6b212ef04d7fbc4e4c5caf630c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ed33df6fa3d8e679c2538677477c0869a13fba2391179d7c764fe80430328b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-09-07T13:59:47Z",
    "title_canon_sha256": "c9cc351722ecde15b25cfe006dad62620ef21b875575b0cb15c20952b5656b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03110",
    "kind": "arxiv",
    "version": 2
  }
}