Pith Number

pith:BG4JUUXD

pith:1999:BG4JUUXDWWJHBJNHV4BESLFVAM

not attested not anchored not stored refs pending

Thermodynamic Bethe Ansatz of the Homogeneous Sine-Gordon models

A. Fring, C. Korff, J.L.Miramontes, O.A. Castro-Alvaredo

arxiv:hep-th/9912196 v1 · 1999-12-21 · hep-th · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG4JUUXDWWJHBJNHV4BESLFVAM}

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	2026-05-18T02:35:53.962110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b89a52e3b59270a5a7af02492cb5032d6c41d05d72ab95e85b4154cea7361b

Aliases

arxiv: hep-th/9912196 · arxiv_version: hep-th/9912196v1 · doi: 10.48550/arxiv.hep-th/9912196 · pith_short_12: BG4JUUXDWWJH · pith_short_16: BG4JUUXDWWJHBJNH · pith_short_8: BG4JUUXD

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/BG4JUUXDWWJHBJNHV4BESLFVAM \
  | 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: 09b89a52e3b59270a5a7af02492cb5032d6c41d05d72ab95e85b4154cea7361b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3319d2c899ea659ee35d86b5a97c42d4d857904b82b8b6cedcb067693c87ec0",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-21T14:49:31Z",
    "title_canon_sha256": "549d21f3881a9e89f9a974de6300dc27ef8ab20c6a421635c421cd2b6fcbf6da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912196",
    "kind": "arxiv",
    "version": 1
  }
}