Pith Number

pith:GCKB24II

pith:2026:GCKB24IINEHMQ72GLVDKQE5LYZ

not attested not anchored not stored refs pending

The slack data of the recording tableaux in the quantum Littlewood-Richardson map determines its inverse: some applications

Olga Azenhas

The slack of recording tableaux encodes the data to invert the quantum Littlewood-Richardson map.

arxiv:2604.25856 v2 · 2026-04-28 · math.CO

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\usepackage{pith}
\pithnumber{GCKB24IINEHMQ72GLVDKQE5LYZ}

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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.

Claims

C1strongest claim

We introduce the slack of a recording tableau in the quantum Littlewood-Richardson (LR) map and show that it inherits the needed data from LR-Sundaram tableaux to define the inverse of the quantum LR map.

C2weakest assumption

That the enriched slack information from the recording tableau packs exactly the suitable reverse Schensted column insertion routes needed to compute the inverse, without additional conditions or data loss.

C3one line summary

The slack data of recording tableaux determines the inverse of the quantum Littlewood-Richardson map and applies to k-highest symplectic tableaux.

Receipt and verification

First computed	2026-05-28T02:04:48.276172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30941d7108690ec87f465d46a813abc65973c8d19eaba96dd921c4be16a12ca8

Aliases

arxiv: 2604.25856 · arxiv_version: 2604.25856v2 · doi: 10.48550/arxiv.2604.25856 · pith_short_12: GCKB24IINEHM · pith_short_16: GCKB24IINEHMQ72G · pith_short_8: GCKB24II

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/GCKB24IINEHMQ72GLVDKQE5LYZ \
  | 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: 30941d7108690ec87f465d46a813abc65973c8d19eaba96dd921c4be16a12ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020817b735e7b98964c4b2a4b4ec68d8e46aa83c877947f6d810724f5cd3c936",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-04-28T16:57:49Z",
    "title_canon_sha256": "ee258e1613a4ffa89edd70cc04a0267d4b0051c3c5ff94576c5eecc95d77466c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25856",
    "kind": "arxiv",
    "version": 2
  }
}