Pith Number

pith:L42R6MSI

pith:2021:L42R6MSI7G4B3QIPOXE6C5Z2ZA

not attested not anchored not stored refs pending

Characteristic equation for symplectic groupoid and cluster algebras

Huang Shibo, Leonid O. Chekhov, Michael Shapiro

arxiv:2101.10323 v2 · 2021-01-14 · math.RT · math-ph · math.MP · 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{L42R6MSI7G4B3QIPOXE6C5Z2ZA}

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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

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras

Receipt and verification

First computed	2026-07-05T02:20:10.248359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f351f3248f9b81dc10f75c9e1773ac81a3fcb8f785dc1f211b0cbd08250dc7b

Aliases

arxiv: 2101.10323 · arxiv_version: 2101.10323v2 · doi: 10.48550/arxiv.2101.10323 · pith_short_12: L42R6MSI7G4B · pith_short_16: L42R6MSI7G4B3QIP · pith_short_8: L42R6MSI

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/L42R6MSI7G4B3QIPOXE6C5Z2ZA \
  | 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: 5f351f3248f9b81dc10f75c9e1773ac81a3fcb8f785dc1f211b0cbd08250dc7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a714644d68178db80de8224c4fc98440916114a507d0b3450a34525430a0d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-01-14T02:30:22Z",
    "title_canon_sha256": "30724128ee5ea39ce6ef1957d170917b4d4d2573f6f99656f89fca3b8f03fe5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.10323",
    "kind": "arxiv",
    "version": 2
  }
}