Pith Number

pith:WSW7DMXP

pith:2012:WSW7DMXP56FBN2Q45XKTWKREFK

not attested not anchored not stored refs pending

From superoperator formalism to nonequilibrium Thermo Field Dynamics

Yoshiya Yamanaka, Yusuke Nakamura

arxiv:1211.4306 v1 · 2012-11-19 · 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{WSW7DMXP56FBN2Q45XKTWKREFK}

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	2026-05-18T03:18:06.291469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4adf1b2efef8a16ea1cedd53b2a242a810d292d1cea7826f8edf8d6ba25dbe8

Aliases

arxiv: 1211.4306 · arxiv_version: 1211.4306v1 · doi: 10.48550/arxiv.1211.4306 · pith_short_12: WSW7DMXP56FB · pith_short_16: WSW7DMXP56FBN2Q4 · pith_short_8: WSW7DMXP

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/WSW7DMXP56FBN2Q45XKTWKREFK \
  | 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: b4adf1b2efef8a16ea1cedd53b2a242a810d292d1cea7826f8edf8d6ba25dbe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1876610677be0467fd3940eb156aaa9247f245172c0176175202b70105ba44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-19T05:32:00Z",
    "title_canon_sha256": "1028e8d48f1274f3cd10448debb97f9643ebaa2258aa258ce94fc37a989d41f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4306",
    "kind": "arxiv",
    "version": 1
  }
}