Pith Number

pith:F3PM6GOM

pith:2016:F3PM6GOMMXMJZBWMFIMQKUADYB

not attested not anchored not stored refs pending

Optimal performance of generalized heat engines with finite-size baths of arbitrary multiple conserved quantities beyond i.i.d. scaling

Kosuke Ito, Masahito Hayashi

arxiv:1612.04047 v4 · 2016-12-13 · 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{F3PM6GOMMXMJZBWMFIMQKUADYB}

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	2026-05-18T00:25:07.901697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edecf19cc65d89c86cc2a19055003c055286ab1fdc7c70955c73e53aae0bc05

Aliases

arxiv: 1612.04047 · arxiv_version: 1612.04047v4 · doi: 10.48550/arxiv.1612.04047 · pith_short_12: F3PM6GOMMXMJ · pith_short_16: F3PM6GOMMXMJZBWM · pith_short_8: F3PM6GOM

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/F3PM6GOMMXMJZBWMFIMQKUADYB \
  | 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: 2edecf19cc65d89c86cc2a19055003c055286ab1fdc7c70955c73e53aae0bc05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589ff13a0545f351d663e1db94b797285fbaef2da594455c568c75cceb067dbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-13T07:24:53Z",
    "title_canon_sha256": "e1d8a93080f50c301b54d0cd8a4ede18f0a348ab63a39fae8f8afe81230b672e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04047",
    "kind": "arxiv",
    "version": 4
  }
}