Pith Number

pith:6AW66JQL

pith:2022:6AW66JQLWF3WO2KHJ3FFGIEMP5

not attested not anchored not stored refs pending

Direct Route to Thermodynamic Uncertainty Relations and Their Saturation

Alja\v{z} Godec, Cai Dieball

arxiv:2208.06402 v4 · 2022-08-12 · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AW66JQLWF3WO2KHJ3FFGIEMP5}

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	2026-07-05T05:45:17.584298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02def260bb1776769474eca53208c7f61b5605c76809fdb3053603988782386

Aliases

arxiv: 2208.06402 · arxiv_version: 2208.06402v4 · doi: 10.48550/arxiv.2208.06402 · pith_short_12: 6AW66JQLWF3W · pith_short_16: 6AW66JQLWF3WO2KH · pith_short_8: 6AW66JQL

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/6AW66JQLWF3WO2KHJ3FFGIEMP5 \
  | 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: f02def260bb1776769474eca53208c7f61b5605c76809fdb3053603988782386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12fcac59729b9faae3a6c4002259f95264a815d5f42df65064e39ff873d9468b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2022-08-12T17:56:39Z",
    "title_canon_sha256": "7b56600e6b6fd370bb2ae19f637547dbbb94929adb7ee0a0ed28780e11c99c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.06402",
    "kind": "arxiv",
    "version": 4
  }
}