Pith Number

pith:MCG4UMHM

pith:2017:MCG4UMHMNKQ2N5OOC57TVLAVE3

not attested not anchored not stored refs pending

Coupled Hall-Littlewood functions, vertex operators and the $q$-boson model

Chuanzhong Li, Na Wang

arxiv:1712.05093 v1 · 2017-12-14 · math-ph · math.MP · 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{MCG4UMHMNKQ2N5OOC57TVLAVE3}

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	2026-05-18T00:28:01.053965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608dca30ec6aa1a6f5ce177f3aac1526fcd8aaf6e4d9f30d11efbd0d0e0999c1

Aliases

arxiv: 1712.05093 · arxiv_version: 1712.05093v1 · doi: 10.48550/arxiv.1712.05093 · pith_short_12: MCG4UMHMNKQ2 · pith_short_16: MCG4UMHMNKQ2N5OO · pith_short_8: MCG4UMHM

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/MCG4UMHMNKQ2N5OOC57TVLAVE3 \
  | 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: 608dca30ec6aa1a6f5ce177f3aac1526fcd8aaf6e4d9f30d11efbd0d0e0999c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f585626c5de401b98a122a0be5950bd274bb60f31d3e12589da801cd0c004ca",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-14T04:45:54Z",
    "title_canon_sha256": "9280629f55b96972a6095c5761bc8516d92cee8672643d2d3a392c2ed85232d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05093",
    "kind": "arxiv",
    "version": 1
  }
}