Pith Number

pith:4DPP4JEQ

pith:2019:4DPP4JEQN7G4TWNAF36CKS73SI

not attested not anchored not stored refs pending

Generalisations of Capparelli's and Primc's identities, II: perfect $A_{n-1}^{(1)}$ crystals and explicit character formulas

Isaac Konan, Jehanne Dousse

arxiv:1911.13189 v4 · 2019-11-29 · math.QA · math.CO · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DPP4JEQN7G4TWNAF36CKS73SI}

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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

A New Grounded Partition Identity of Type $D_4^{(3)}$

Receipt and verification

First computed	2026-07-05T01:17:25.346265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0defe24906fcdc9d9a02efc254bfb9237fd87eb63989487c3e1681f169b5fd1

Aliases

arxiv: 1911.13189 · arxiv_version: 1911.13189v4 · doi: 10.48550/arxiv.1911.13189 · pith_short_12: 4DPP4JEQN7G4 · pith_short_16: 4DPP4JEQN7G4TWNA · pith_short_8: 4DPP4JEQ

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/4DPP4JEQN7G4TWNAF36CKS73SI \
  | 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: e0defe24906fcdc9d9a02efc254bfb9237fd87eb63989487c3e1681f169b5fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19c89adb510adf87f8c8b4de3531a6c38783ac5b4f55669afac2efc1741465d",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-11-29T16:53:16Z",
    "title_canon_sha256": "517c3e7b9869e57a08c94be80cee96881ff14178dc3536aeb47626dbb506943c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.13189",
    "kind": "arxiv",
    "version": 4
  }
}