Pith Number

pith:QK2VCO4E

pith:2020:QK2VCO4EYOJUH6ZESGM3R2FAY5

not attested not anchored not stored refs pending

Almost all entries in the character table of the symmetric group are multiples of any given prime

Kannan Soundararajan, Sarah Peluse

arxiv:2010.12410 v2 · 2020-10-23 · math.CO · math.NT · math.RT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QK2VCO4EYOJUH6ZESGM3R2FAY5}

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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

Congruences in character tables of symmetric groups

Receipt and verification

First computed	2026-07-05T05:30:59.192542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b5513b84c39343fb249199b8e8a0c74303ad766af5b98055ebc0ed3dae74e2

Aliases

arxiv: 2010.12410 · arxiv_version: 2010.12410v2 · doi: 10.48550/arxiv.2010.12410 · pith_short_12: QK2VCO4EYOJU · pith_short_16: QK2VCO4EYOJUH6ZE · pith_short_8: QK2VCO4E

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/QK2VCO4EYOJUH6ZESGM3R2FAY5 \
  | 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: 82b5513b84c39343fb249199b8e8a0c74303ad766af5b98055ebc0ed3dae74e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810c8c07491911c0e3c0ec742b8de926ee40bb6a0e5dbe83de3b86b151f57b3b",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-23T14:00:10Z",
    "title_canon_sha256": "f20c9dd3e6978425380c4e05473bef684d88b0f5fbcb4b879d5509b80bec3e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.12410",
    "kind": "arxiv",
    "version": 2
  }
}