Pith Number

pith:FQJB3TSN

pith:2012:FQJB3TSN2ABZRTL4XSQEVKLHQ2

not attested not anchored not stored refs pending

Microscopic approach to entropy production

Hartmut L\"owen, Helmut R. Brand, Raphael Wittkowski

arxiv:1212.1823 v1 · 2012-12-08 · cond-mat.stat-mech · cond-mat.soft · physics.chem-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{FQJB3TSN2ABZRTL4XSQEVKLHQ2}

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	2026-05-18T03:01:10.991774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c121dce4dd00398cd7cbca04aa9678690ffaa52733f7c3c8695352e877ac094

Aliases

arxiv: 1212.1823 · arxiv_version: 1212.1823v1 · doi: 10.48550/arxiv.1212.1823 · pith_short_12: FQJB3TSN2ABZ · pith_short_16: FQJB3TSN2ABZRTL4 · pith_short_8: FQJB3TSN

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/FQJB3TSN2ABZRTL4XSQEVKLHQ2 \
  | 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: 2c121dce4dd00398cd7cbca04aa9678690ffaa52733f7c3c8695352e877ac094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d08de63c3cd3f585e6f913c6faded4ee6a4eafc7e04868d3b3bfe9cd8e4aadce",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-08T18:16:15Z",
    "title_canon_sha256": "9ee78215cb6be79342c51bc1af7922d19919b48e29aace34d14558e4a338df81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1823",
    "kind": "arxiv",
    "version": 1
  }
}