Pith Number

pith:I4XOYTYK

pith:2019:I4XOYTYKJCF7TQZZO63BYSXHAH

not attested not anchored not stored refs pending

Flagged Littlewood-Richardson tableaux and branching rule for classical groups

Il-Seung Jang, Jae-Hoon Kwon

arxiv:1908.11041 v2 · 2019-08-29 · math.RT · math.CO · 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{I4XOYTYKJCF7TQZZO63BYSXHAH}

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	2026-07-05T10:21:53.038444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472eec4f0a488bf9c33977b61c4ae701c0e882348e1954dac72995132af50929

Aliases

arxiv: 1908.11041 · arxiv_version: 1908.11041v2 · doi: 10.48550/arxiv.1908.11041 · pith_short_12: I4XOYTYKJCF7 · pith_short_16: I4XOYTYKJCF7TQZZ · pith_short_8: I4XOYTYK

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/I4XOYTYKJCF7TQZZO63BYSXHAH \
  | 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: 472eec4f0a488bf9c33977b61c4ae701c0e882348e1954dac72995132af50929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3964db0f475a5bcce3408855acff5d464a50e503a7d0647635bfdb37b6bb59a0",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-08-29T04:11:10Z",
    "title_canon_sha256": "41b3fdf3aca6b28bbebb164c8ace04aa50bb37f124ad3104bfb6a6c8043affb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11041",
    "kind": "arxiv",
    "version": 2
  }
}