Pith. sign in
Pith Number

pith:GHODTBEX

pith:2022:GHODTBEXNEJFQO6LFYD2JEB424
not attested not anchored not stored refs pending

A correspondence from renormalized frequency to heat capacity for particles in an anharmonic potential

J. H. Zhang, Q. H. Liu, Y. H. Zhao, Y. T. Liu, Y. Zhong

arxiv:2210.00906 v5 · 2022-09-30 · cond-mat.stat-mech · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GHODTBEXNEJFQO6LFYD2JEB424}

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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 2026-07-05T06:19:53.368337Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

31dc3984976912583bcb2e07a4903cd716ec3f50693bd09ef04b52a95897e506

Aliases

arxiv: 2210.00906 · arxiv_version: 2210.00906v5 · doi: 10.48550/arxiv.2210.00906 · pith_short_12: GHODTBEXNEJF · pith_short_16: GHODTBEXNEJFQO6L · pith_short_8: GHODTBEX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GHODTBEXNEJFQO6LFYD2JEB424 \
  | 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: 31dc3984976912583bcb2e07a4903cd716ec3f50693bd09ef04b52a95897e506
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3f108e3a84ccec1623ebe6b62099d37b56ffa98e13f067bde4ef05fb76c7dec5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2022-09-30T09:56:19Z",
    "title_canon_sha256": "ab7233cea8edb9534d33b68d39fdd4ed96c451bc4a19eca0cd1336562949a4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00906",
    "kind": "arxiv",
    "version": 5
  }
}