Pith. sign in
Pith Number

pith:L2MIK7SX

pith:2019:L2MIK7SXMYRF6YRC25IH24XTHR
not attested not anchored not stored refs pending

The Hellmann-Feynman theorem at finite temperature

Arnau Rios, Artur Polls, Bruno Juli\'a-D\'iaz, Isaac Vida\~na, Marina Pons

arxiv:1909.10298 v2 · 2019-09-23 · quant-ph · cond-mat.quant-gas · cond-mat.stat-mech · nucl-th · physics.ed-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L2MIK7SXMYRF6YRC25IH24XTHR}

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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 2026-07-05T01:12:24.086614Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5e98857e5766225f6222d7507d72f33c40e4e5b1b13c150f0d61949d69e8604c

Aliases

arxiv: 1909.10298 · arxiv_version: 1909.10298v2 · doi: 10.48550/arxiv.1909.10298 · pith_short_12: L2MIK7SXMYRF · pith_short_16: L2MIK7SXMYRF6YRC · pith_short_8: L2MIK7SX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L2MIK7SXMYRF6YRC25IH24XTHR \
  | 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: 5e98857e5766225f6222d7507d72f33c40e4e5b1b13c150f0d61949d69e8604c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fce034d5a767b31948c2f7d4b496203ab005fc4ea04dd75b649191815f773740",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.stat-mech",
      "nucl-th",
      "physics.ed-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-09-23T11:32:39Z",
    "title_canon_sha256": "611f320f2744b466f216608ff13964b3a2dfad916ed486e11b3c3f7ba07acde9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10298",
    "kind": "arxiv",
    "version": 2
  }
}