Pith Number

pith:ZBUW23BD

pith:2012:ZBUW23BD642BOSCXKZGCP6XLGN

not attested not anchored not stored refs pending

Free energy of a charged oscillator in a magnetic field and coupled to a heat bath through the momentum variables

Malay Bandyopadhyay, Shamik Gupta

arxiv:1203.0771 v2 · 2012-03-04 · 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{ZBUW23BD642BOSCXKZGCP6XLGN}

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	2026-05-18T03:05:44.822344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8696d6c23f734174857564c27faeb335fa7d7785c9415d25d59329aedef880e

Aliases

arxiv: 1203.0771 · arxiv_version: 1203.0771v2 · doi: 10.48550/arxiv.1203.0771 · pith_short_12: ZBUW23BD642B · pith_short_16: ZBUW23BD642BOSCX · pith_short_8: ZBUW23BD

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/ZBUW23BD642BOSCXKZGCP6XLGN \
  | 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: c8696d6c23f734174857564c27faeb335fa7d7785c9415d25d59329aedef880e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82a99da04b1a48dda229ce3b340a9ffcfb24860bf176e39b8463fefdb4c6a7e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-03-04T20:54:04Z",
    "title_canon_sha256": "a37393733d8fab64c06e83ee61b7921d31dd610fa22270baf28521f7d55be0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0771",
    "kind": "arxiv",
    "version": 2
  }
}