Pith Number

pith:26XSAMDH

pith:2017:26XSAMDHSCINSPLE27JRG43WRD

not attested not anchored not stored refs pending

Note on parity and the irreducible characters of the symmetric group

Alexander R. Miller

arxiv:1708.03267 v1 · 2017-08-10 · math.GR · 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{26XSAMDHSCINSPLE27JRG43WRD}

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	2026-05-18T00:38:14.283948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7af2030679090d93d64d7d313737688fe6bc14d5d3ed7deea211d40a3fadc3b

Aliases

arxiv: 1708.03267 · arxiv_version: 1708.03267v1 · doi: 10.48550/arxiv.1708.03267 · pith_short_12: 26XSAMDHSCIN · pith_short_16: 26XSAMDHSCINSPLE · pith_short_8: 26XSAMDH

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/26XSAMDHSCINSPLE27JRG43WRD \
  | 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: d7af2030679090d93d64d7d313737688fe6bc14d5d3ed7deea211d40a3fadc3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02544ad3b4878d9be1aa617ab8cb6b093ac0451c0f123ee62a36b56b7fb39d8a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-10T15:42:08Z",
    "title_canon_sha256": "e9c7a3c444a1fb0e96a86efe7bbe713558f1e74f431c13b1727f6f6ae210e5bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03267",
    "kind": "arxiv",
    "version": 1
  }
}