Pith Number

pith:SYFHU6AH

pith:2024:SYFHU6AHUL6PY3ONL4L3MB7DH5

not attested not anchored not stored refs pending

Greene's Theorem and ideals of the group algebra of a symmetric group

Stephen Donkin

arxiv:2412.01627 v1 · 2024-12-02 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYFHU6AHUL6PY3ONL4L3MB7DH5}

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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

Rook sums in the symmetric group algebra

Receipt and verification

First computed	2026-07-05T09:43:16.283946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

960a7a7807a2fcfc6dcd5f17b607e33f67f3b70029f16ef2f76c4db7c2790aa7

Aliases

arxiv: 2412.01627 · arxiv_version: 2412.01627v1 · doi: 10.48550/arxiv.2412.01627 · pith_short_12: SYFHU6AHUL6P · pith_short_16: SYFHU6AHUL6PY3ON · pith_short_8: SYFHU6AH

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/SYFHU6AHUL6PY3ONL4L3MB7DH5 \
  | 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: 960a7a7807a2fcfc6dcd5f17b607e33f67f3b70029f16ef2f76c4db7c2790aa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d0418b0e84b4ea3acce78cc4bbee0f53fd197ec5b9113a712352fedc073d6f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-02T15:45:30Z",
    "title_canon_sha256": "edbc48fb0c4a3ccab3e9814a18cbc9a557efbcbac9af46f9868ece94461e974b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01627",
    "kind": "arxiv",
    "version": 1
  }
}