Pith Number

pith:JJB4UZ76

pith:2007:JJB4UZ76WQ3POIZR6OMB25TOOD

not attested not anchored not stored refs pending

Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum

A. Varchenko, E. Mukhin, V. Tarasov

arxiv:0706.0688 v2 · 2007-06-05 · math.QA · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJB4UZ76WQ3POIZR6OMB25TOOD}

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	2026-05-18T03:55:00.771433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a43ca67feb436f72331f3981d766e70cfb4222c18c1b6408c0b5a87808b21e3

Aliases

arxiv: 0706.0688 · arxiv_version: 0706.0688v2 · doi: 10.48550/arxiv.0706.0688 · pith_short_12: JJB4UZ76WQ3P · pith_short_16: JJB4UZ76WQ3POIZR · pith_short_8: JJB4UZ76

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/JJB4UZ76WQ3POIZR6OMB25TOOD \
  | 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: 4a43ca67feb436f72331f3981d766e70cfb4222c18c1b6408c0b5a87808b21e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d289ef8ab749930fa3bd405c10026fdd241a5608bd734d0f8768965b514d7add",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-06-05T15:32:23Z",
    "title_canon_sha256": "1afcd8c631d851c97e5d233c1600d8179af56b13cc0694aac5f442947039c88c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0688",
    "kind": "arxiv",
    "version": 2
  }
}