Pith Number

pith:3VP66M45

pith:2018:3VP66M452VKYKZ6DOABTI2BCIB

not attested not anchored not stored refs pending

Harmonic oscillators from displacement operators and thermodynamics

F. A. Brito, F. F. Santos, J. R. L. Santos

arxiv:1801.10236 v2 · 2018-01-30 · cond-mat.stat-mech · hep-th · 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{3VP66M452VKYKZ6DOABTI2BCIB}

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	2026-05-18T00:02:35.755255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5fef339dd5558567c37003346822406c515057743387e9a017b871b69885e1

Aliases

arxiv: 1801.10236 · arxiv_version: 1801.10236v2 · doi: 10.48550/arxiv.1801.10236 · pith_short_12: 3VP66M452VKY · pith_short_16: 3VP66M452VKYKZ6D · pith_short_8: 3VP66M45

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/3VP66M452VKYKZ6DOABTI2BCIB \
  | 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: dd5fef339dd5558567c37003346822406c515057743387e9a017b871b69885e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af18ad98a1e503e7efdd4f318019165edc97cbaf49d64ea0f48e5edb0d0d466",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-01-30T21:52:09Z",
    "title_canon_sha256": "389dbe469e9eab7cc1267131ef4ed5d4acf21b5b6442f4e52b29b307f613e625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10236",
    "kind": "arxiv",
    "version": 2
  }
}