Pith Number

pith:6ZFFAKQA

pith:2010:6ZFFAKQASATFN2TZWA44BA4HSF

not attested not anchored not stored refs pending

Extension of Nelson's Stochastic Quantization to Finite Temperature Using Thermo Field Dynamics

Keita Kobayashi, Yoshiya Yamanaka

arxiv:1007.3603 v2 · 2010-07-21 · 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{6ZFFAKQASATFN2TZWA44BA4HSF}

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	2026-05-18T03:38:46.563109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f64a502a00902656ea79b039c08387916621000e22d8e908414b533204779499

Aliases

arxiv: 1007.3603 · arxiv_version: 1007.3603v2 · doi: 10.48550/arxiv.1007.3603 · pith_short_12: 6ZFFAKQASATF · pith_short_16: 6ZFFAKQASATFN2TZ · pith_short_8: 6ZFFAKQA

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/6ZFFAKQASATFN2TZWA44BA4HSF \
  | 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: f64a502a00902656ea79b039c08387916621000e22d8e908414b533204779499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e9c757654ef84a57dc90e25d97bf0f08c64fd32bdbfe87ce678a62b5d296ee2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-21T10:21:35Z",
    "title_canon_sha256": "be74fa49019514489fea96b819d4abaae6bab692763a7904a485cc4d174dee4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3603",
    "kind": "arxiv",
    "version": 2
  }
}