Pith Number

pith:B7LZTBZU

pith:2018:B7LZTBZUKTE2OI7HXTFB55HV6M

not attested not anchored not stored refs pending

Thermodynamics of the Harmonic Oscillator: Derivation of the Planck Blackbody Spectrum from Pure Thermodynamics

Timothy H. Boyer

arxiv:1809.09093 v1 · 2018-09-21 · 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{B7LZTBZUKTE2OI7HXTFB55HV6M}

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	2026-05-17T23:56:29.386667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd799873454c9a723e7bcca1ef4f5f32d743eb1aab0600808066b99bf14ce2a

Aliases

arxiv: 1809.09093 · arxiv_version: 1809.09093v1 · doi: 10.48550/arxiv.1809.09093 · pith_short_12: B7LZTBZUKTE2 · pith_short_16: B7LZTBZUKTE2OI7H · pith_short_8: B7LZTBZU

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/B7LZTBZUKTE2OI7HXTFB55HV6M \
  | 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: 0fd799873454c9a723e7bcca1ef4f5f32d743eb1aab0600808066b99bf14ce2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b69ac39c7ddfdd7b1de7a9f75d95647850ac0ea47d6655bd7e624e7216e723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-09-21T20:46:33Z",
    "title_canon_sha256": "1b041a54421b9793036d42e57d8d5993e139f869a2056fcc2b87a3a148579791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09093",
    "kind": "arxiv",
    "version": 1
  }
}