Pith Number

pith:Z2GRDFUR

pith:2006:Z2GRDFUR53G6RC3JM2AOIZUDT4

not attested not anchored not stored refs pending

Quantum Brownian motion and the Third Law of thermodynamics

Gert-Ludwig Ingold (U Augsburg), Peter H\"anggi

arxiv:quant-ph/0601056 v1 · 2006-01-10 · 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{Z2GRDFUR53G6RC3JM2AOIZUDT4}

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.

Cited by

1 paper in Pith

Entanglement entropy of fermions in a strange metal

Receipt and verification

First computed	2026-07-04T14:52:57.029423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce8d119691eecde88b696680e466839f26e51c7d9bc3c9f3145623c499b74b3d

Aliases

arxiv: quant-ph/0601056 · arxiv_version: quant-ph/0601056v1 · doi: 10.48550/arxiv.quant-ph/0601056 · pith_short_12: Z2GRDFUR53G6 · pith_short_16: Z2GRDFUR53G6RC3J · pith_short_8: Z2GRDFUR

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/Z2GRDFUR53G6RC3JM2AOIZUDT4 \
  | 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: ce8d119691eecde88b696680e466839f26e51c7d9bc3c9f3145623c499b74b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ed8197304e39c5522d65634f60f2698cf063c178286898b06910471e22340d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-01-10T06:47:41Z",
    "title_canon_sha256": "1766e960f9bafe51cefc90a769c595ea0cc0a41bd9be667e0a086e27362f045c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0601056",
    "kind": "arxiv",
    "version": 1
  }
}