Pith Number

pith:5JZJUCDE

pith:2016:5JZJUCDEZAHFRHG5WPKCUM6WY7

not attested not anchored not stored refs pending

Microscopic Foundations of Ohm and Joule's Laws - The Relevance of Thermodynamics

J.-B. Bru, W. de Siqueira Pedra

arxiv:1611.09036 v1 · 2016-11-28 · math-ph · math.MP · physics.hist-ph · quant-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{5JZJUCDEZAHFRHG5WPKCUM6WY7}

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	2026-05-18T00:56:29.405632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea729a0864c80e589cddb3d42a33d6c7c24665f6f1e765dabf26677fbcd80ebf

Aliases

arxiv: 1611.09036 · arxiv_version: 1611.09036v1 · doi: 10.48550/arxiv.1611.09036 · pith_short_12: 5JZJUCDEZAHF · pith_short_16: 5JZJUCDEZAHFRHG5 · pith_short_8: 5JZJUCDE

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/5JZJUCDEZAHFRHG5WPKCUM6WY7 \
  | 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: ea729a0864c80e589cddb3d42a33d6c7c24665f6f1e765dabf26677fbcd80ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218d4a4db237c59a327ae5eff9944c5fbc6cc956c9e56f2900dd77bc28991181",
    "cross_cats_sorted": [
      "math.MP",
      "physics.hist-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-28T09:37:55Z",
    "title_canon_sha256": "5746cada7a62f26388d25591aeb4169f8014d1e77bdbfd222e77a3862465af00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09036",
    "kind": "arxiv",
    "version": 1
  }
}