pith. sign in
Pith Number

pith:XQP3CIWG

pith:2016:XQP3CIWGDE3PBJR2H7R3IK526Y
not attested not anchored not stored refs pending

Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice

Kohei Motegi

arxiv:1608.02269 v3 · 2016-08-07 · math.QA · math-ph · math.CO · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XQP3CIWGDE3PBJR2H7R3IK526Y}

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 2026-05-18T00:35:05.260257Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc1fb122c61936f0a63a3fe3b42bbaf6226c071befe9c2813f1de6f716e20b43

Aliases

arxiv: 1608.02269 · arxiv_version: 1608.02269v3 · doi: 10.48550/arxiv.1608.02269 · pith_short_12: XQP3CIWGDE3P · pith_short_16: XQP3CIWGDE3PBJR2 · pith_short_8: XQP3CIWG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XQP3CIWGDE3PBJR2H7R3IK526Y \
  | 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: bc1fb122c61936f0a63a3fe3b42bbaf6226c071befe9c2813f1de6f716e20b43
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cdccae088a8b6781eb7da2936b44a1d0b17f3c51c5a4c0b0487ddf3e47cf609f",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-08-07T21:16:59Z",
    "title_canon_sha256": "64af5df8bd0b55f92c5aec7a07d39c5b23ae87e4cf5516004609a6df5eefff94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02269",
    "kind": "arxiv",
    "version": 3
  }
}