Pith Number

pith:6PTJGDIY

pith:2022:6PTJGDIYED5PHOIIFW6CWK3HSQ

not attested not anchored not stored refs pending

A Direct Road to Entropy and the Second Law of Thermodynamics

Jakob Yngvason

arxiv:2202.07982 v1 · 2022-02-16 · math-ph · math.MP · physics.class-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{6PTJGDIYED5PHOIIFW6CWK3HSQ}

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.

Cited by

1 paper in Pith

Thermal Macroeconomics: An axiomatic theory of aggregate economic phenomena

Receipt and verification

First computed	2026-07-05T03:57:35.805730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e6930d1820faf3b9082dbc2b2b67941ea30ce051ad5917419f827274e5f405

Aliases

arxiv: 2202.07982 · arxiv_version: 2202.07982v1 · doi: 10.48550/arxiv.2202.07982 · pith_short_12: 6PTJGDIYED5P · pith_short_16: 6PTJGDIYED5PHOII · pith_short_8: 6PTJGDIY

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/6PTJGDIYED5PHOIIFW6CWK3HSQ \
  | 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: f3e6930d1820faf3b9082dbc2b2b67941ea30ce051ad5917419f827274e5f405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2818f53f710a9aff75d14258016959f2cf8af04b78cafa315f904770d1d85ac4",
    "cross_cats_sorted": [
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-02-16T10:48:25Z",
    "title_canon_sha256": "27d1a2355a736aa838e52f5bbb46309e39240bf8f7fe6ef5a5c39770f4c4f352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.07982",
    "kind": "arxiv",
    "version": 1
  }
}