Pith Number

pith:ZXOWNAPQ

pith:2026:ZXOWNAPQSSSK2BKLKQLQDEDWTG

not attested not anchored not stored refs pending

Lower bounds on entropy production from dynamical correlation functions

Alexander M. Maier, Paul Raux, Udo Seifert

arxiv:2608.03619 v1 · 2026-08-04 · 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{ZXOWNAPQSSSK2BKLKQLQDEDWTG}

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	2026-08-05T01:36:46.223812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddd6681f094a4ad054b541701907699aef34d4354857deecd19a412919c38a0

Aliases

arxiv: 2608.03619 · arxiv_version: 2608.03619v1 · doi: 10.48550/arxiv.2608.03619 · pith_short_12: ZXOWNAPQSSSK · pith_short_16: ZXOWNAPQSSSK2BKL · pith_short_8: ZXOWNAPQ

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/ZXOWNAPQSSSK2BKLKQLQDEDWTG \
  | 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: cddd6681f094a4ad054b541701907699aef34d4354857deecd19a412919c38a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd666315d84d08a8a9d830379d198c946e0856872f5ab2eea22e10211ad1e68a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-04T13:09:27Z",
    "title_canon_sha256": "c9ed805b2087762da30529b2a435f5b2a5c560fa7cebf5252b1a6549e88c0fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03619",
    "kind": "arxiv",
    "version": 1
  }
}