Pith Number

pith:4VPTNE7Q

pith:2006:4VPTNE7Q7UZQXR4UYHTQQPYWV4

not attested not anchored not stored refs pending

Integrable matrix equations related to pairs of compatible associative algebras

Alexander Odesskii, Vladimir Sokolov

arxiv:math/0604574 v2 · 2006-04-26 · math.QA · hep-th · math.RT · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VPTNE7Q7UZQXR4UYHTQQPYWV4}

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	2026-07-04T17:02:09.124639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55f3693f0fd330bc794c1e7083f16af35e4893caa4f83081499e6348dacdfd5

Aliases

arxiv: math/0604574 · arxiv_version: math/0604574v2 · doi: 10.48550/arxiv.math/0604574 · pith_short_12: 4VPTNE7Q7UZQ · pith_short_16: 4VPTNE7Q7UZQXR4U · pith_short_8: 4VPTNE7Q

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/4VPTNE7Q7UZQXR4UYHTQQPYWV4 \
  | 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: e55f3693f0fd330bc794c1e7083f16af35e4893caa4f83081499e6348dacdfd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b3e138141255820e88b041c007c5a2137c03b51ef322f369a94312ec9c6153",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-04-26T17:33:08Z",
    "title_canon_sha256": "349457f7f3074ae2239a3ad07a7e335f50af8839e0d048753c52f0cd4aca2707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604574",
    "kind": "arxiv",
    "version": 2
  }
}