Pith Number

pith:QXVIGJUQ

pith:2011:QXVIGJUQYBJLEACMQQLEYFV6VY

not attested not anchored not stored refs pending

Hubbard-Stratonovich Transformation: Successes, Failure, and Cure

H. Kleinert

arxiv:1104.5161 v1 · 2011-04-27 · cond-mat.quant-gas

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXVIGJUQYBJLEACMQQLEYFV6VY}

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	2026-05-18T04:21:22.125355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ea832690c052b2004c84164c16beae1090fb63d1c1aa768e6cc17a284b26a8

Aliases

arxiv: 1104.5161 · arxiv_version: 1104.5161v1 · doi: 10.48550/arxiv.1104.5161 · pith_short_12: QXVIGJUQYBJL · pith_short_16: QXVIGJUQYBJLEACM · pith_short_8: QXVIGJUQ

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/QXVIGJUQYBJLEACMQQLEYFV6VY \
  | 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: 85ea832690c052b2004c84164c16beae1090fb63d1c1aa768e6cc17a284b26a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a55831fe76824c9ade47dee0b87d616f17325de5765cf7d32077addfacf6c71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2011-04-27T15:07:52Z",
    "title_canon_sha256": "50b2aee27e2d1f11bfa44a06096f64811cfeda2de7424f0be53a16d91e0af0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5161",
    "kind": "arxiv",
    "version": 1
  }
}