Pith Number

pith:AF6CAFQE

pith:2019:AF6CAFQEAA6ONGWKSBOXPJTHCF

not attested not anchored not stored refs pending

Colored five-vertex models and Lascoux polynomials and atoms

Katherine Weber, Travis Scrimshaw, Valentin Buciumas

arxiv:1908.07364 v2 · 2019-08-20 · math.CO · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF6CAFQEAA6ONGWKSBOXPJTHCF}

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.

Cited by

1 paper in Pith

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials

Receipt and verification

First computed	2026-07-05T01:07:25.422130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017c201604003ce69aca905d77a667116c3f46e2e699f9b469e70e3e136cad29

Aliases

arxiv: 1908.07364 · arxiv_version: 1908.07364v2 · doi: 10.48550/arxiv.1908.07364 · pith_short_12: AF6CAFQEAA6O · pith_short_16: AF6CAFQEAA6ONGWK · pith_short_8: AF6CAFQE

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/AF6CAFQEAA6ONGWKSBOXPJTHCF \
  | 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: 017c201604003ce69aca905d77a667116c3f46e2e699f9b469e70e3e136cad29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebd3a89dce6d62aa6c1a89b73a6d28d0bef3dfcb7948b784566e657a0358cce",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-20T14:02:19Z",
    "title_canon_sha256": "ca10e588f3cc52f883e8bb5a222b4c380346511826282e8758c30d64511d1e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07364",
    "kind": "arxiv",
    "version": 2
  }
}