Pith Number

pith:LC2FZ5CU

pith:2015:LC2FZ5CUY7DLIO4FOK2UKUFZXU

not attested not anchored not stored refs pending

Quantum integrable combinatorics of Schur polynomials

Kazumitsu Sakai, Kohei Motegi

arxiv:1507.06740 v1 · 2015-07-24 · math-ph · cond-mat.stat-mech · math.CO · 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{LC2FZ5CUY7DLIO4FOK2UKUFZXU}

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	2026-05-18T01:36:22.538059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b45cf454c7c6b43b8572b54550b9bd00c25ccaba6a63f908ff9f15d221af10

Aliases

arxiv: 1507.06740 · arxiv_version: 1507.06740v1 · doi: 10.48550/arxiv.1507.06740 · pith_short_12: LC2FZ5CUY7DL · pith_short_16: LC2FZ5CUY7DLIO4F · pith_short_8: LC2FZ5CU

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/LC2FZ5CUY7DLIO4FOK2UKUFZXU \
  | 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: 58b45cf454c7c6b43b8572b54550b9bd00c25ccaba6a63f908ff9f15d221af10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a857e83d9cc8bfe2d722291bfb955f761ec1b15fd1b3b356e8583e6106e93bd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-24T04:36:55Z",
    "title_canon_sha256": "a5e4c63ceb423cff9bb3a490f4a3cee9cff329109bec6d67f6e229ada92496ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06740",
    "kind": "arxiv",
    "version": 1
  }
}