Pith Number

pith:Y5U6XA2Y

pith:1998:Y5U6XA2YLK3HB7ZMDMLFQA4HUV

not attested not anchored not stored refs pending

Perturbation Method beyond the Variational Gaussian Approximation: The Liouville-Neumann Approach

Dongsu Bak, Jae Hyung Yee, Kwang-Sup Soh, Sang Pyo Kim, Sung Ku Kim

arxiv:hep-th/9808001 v3 · 1998-08-01 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5U6XA2YLK3HB7ZMDMLFQA4HUV}

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	2026-07-04T15:27:31.157011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c769eb83585ab670ff2c1b16580387a55d3091f9f0831b41378009af3fde04e2

Aliases

arxiv: hep-th/9808001 · arxiv_version: hep-th/9808001v3 · doi: 10.48550/arxiv.hep-th/9808001 · pith_short_12: Y5U6XA2YLK3H · pith_short_16: Y5U6XA2YLK3HB7ZM · pith_short_8: Y5U6XA2Y

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/Y5U6XA2YLK3HB7ZMDMLFQA4HUV \
  | 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: c769eb83585ab670ff2c1b16580387a55d3091f9f0831b41378009af3fde04e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a02741e3217c643686ae45eb1f5977d06c96e6dfa0d59347c12e7f208a3313",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-08-01T03:33:23Z",
    "title_canon_sha256": "46bc68a3d7e202130df3a7a7827e1bbe0d42b3b5bf729c48afd1ca84804dd8ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9808001",
    "kind": "arxiv",
    "version": 3
  }
}