Pith Number

pith:3TXERA22

pith:1998:3TXERA2273HLGFMWM4FGSPDUPJ

not attested not anchored not stored refs pending

Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations

Gen Kuroki, Takashi Takebe

arxiv:math/9809157 v2 · 1998-09-28 · math.QA · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TXERA2273HLGFMWM4FGSPDUPJ}

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.

Cited by

1 paper in Pith

Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation

Receipt and verification

First computed	2026-07-04T16:10:10.720210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcee48835afeceb31596670a693c747a4a95bf94a7cdd51160cdcf66a63b129a

Aliases

arxiv: math/9809157 · arxiv_version: math/9809157v2 · doi: 10.48550/arxiv.math/9809157 · pith_short_12: 3TXERA2273HL · pith_short_16: 3TXERA2273HLGFMW · pith_short_8: 3TXERA22

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/3TXERA2273HLGFMWM4FGSPDUPJ \
  | 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: dcee48835afeceb31596670a693c747a4a95bf94a7cdd51160cdcf66a63b129a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfdec0d47ca2e06f87165416e1d94bd2f28528ae0a94ef9b17200b1cc441f82",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-09-28T06:57:50Z",
    "title_canon_sha256": "407446c01db522c894f6cd6b2e6183f2cfe57243b6c193568bd31744f40d1aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809157",
    "kind": "arxiv",
    "version": 2
  }
}