Pith Number

pith:6R3X6CBR

pith:2012:6R3X6CBR2FYWVPQU2JKK2ITVJR

not attested not anchored not stored refs pending

Universality of energy conversion efficiency for optimal tight-coupling heat engines and refrigerators

Shiqi Sheng, Z. C. Tu

arxiv:1212.6875 v4 · 2012-12-31 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R3X6CBR2FYWVPQU2JKK2ITVJR}

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	2026-05-18T02:25:05.304055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4777f0831d1716abe14d254ad22754c40b9449d0535570a10c14b165f2fa7a7

Aliases

arxiv: 1212.6875 · arxiv_version: 1212.6875v4 · doi: 10.48550/arxiv.1212.6875 · pith_short_12: 6R3X6CBR2FYW · pith_short_16: 6R3X6CBR2FYWVPQU · pith_short_8: 6R3X6CBR

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/6R3X6CBR2FYWVPQU2JKK2ITVJR \
  | 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: f4777f0831d1716abe14d254ad22754c40b9449d0535570a10c14b165f2fa7a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720a5db15d5f3016526998e1da6faa13bf0fefdc6adeb54eca25539d75b2c8dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-31T12:10:34Z",
    "title_canon_sha256": "b3ac4887f8df0fca6f50bd0d57893dcbc45880081ff1b52174ee2122e5b1f997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6875",
    "kind": "arxiv",
    "version": 4
  }
}