Pith Number

pith:6QN42ODW

pith:2014:6QN42ODWVTN3QPQ4CUAVXPNHXQ

not attested not anchored not stored refs pending

Plethysm and lattice point counting

Mateusz Michalek, Thomas Kahle

arxiv:1408.5708 v3 · 2014-08-25 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QN42ODWVTN3QPQ4CUAVXPNHXQ}

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	2026-05-18T01:35:27.095543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41bcd3876acdbb83e1c15015bbda7bc356b20f9fb9c193ab34c56c32c893639

Aliases

arxiv: 1408.5708 · arxiv_version: 1408.5708v3 · doi: 10.48550/arxiv.1408.5708 · pith_short_12: 6QN42ODWVTN3 · pith_short_16: 6QN42ODWVTN3QPQ4 · pith_short_8: 6QN42ODW

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/6QN42ODWVTN3QPQ4CUAVXPNHXQ \
  | 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: f41bcd3876acdbb83e1c15015bbda7bc356b20f9fb9c193ab34c56c32c893639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b029820be10cc8bc1ae31fd6f0cd3d9dd5550f7ffcd05eed26237cfbfe78b0fb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-08-25T09:52:00Z",
    "title_canon_sha256": "401ed0b18648591cb67df925c1ceaa598b570921052bd11ae238fe57fa5a4451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5708",
    "kind": "arxiv",
    "version": 3
  }
}