Pith Number

pith:WMWH4NAZ

pith:2009:WMWH4NAZKKU7EMRUHFYY2T25JD

not attested not anchored not stored refs pending

Generalized B\"acklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective

Alek Vainshtein, Michael Gekhtman, Michael Shapiro

arxiv:0906.1364 v4 · 2009-06-07 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMWH4NAZKKU7EMRUHFYY2T25JD}

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	2026-05-18T01:14:36.530725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32c7e341952a9f2323439718d4f5d48cd4872358160345e9c449b52fcc57219

Aliases

arxiv: 0906.1364 · arxiv_version: 0906.1364v4 · doi: 10.48550/arxiv.0906.1364 · pith_short_12: WMWH4NAZKKU7 · pith_short_16: WMWH4NAZKKU7EMRU · pith_short_8: WMWH4NAZ

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/WMWH4NAZKKU7EMRUHFYY2T25JD \
  | 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: b32c7e341952a9f2323439718d4f5d48cd4872358160345e9c449b52fcc57219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650c24c2f0247c5cf6ae312853351f7ba1b828c744d1823a4352431c1bd52641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-06-07T16:04:06Z",
    "title_canon_sha256": "1f58b7eff28e9e664105e802172651c9c9e5b77066a8c12a0937edd90350472d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1364",
    "kind": "arxiv",
    "version": 4
  }
}