Pith Number

pith:PE6CLMYR

pith:2015:PE6CLMYRJ5IWN2DWX6JROYLOTJ

not attested not anchored not stored refs pending

Symmetric group characters as symmetric functions (extended abstract)

Mike Zabrocki, Rosa Orellana

arxiv:1510.00438 v2 · 2015-10-01 · math.CO · 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{PE6CLMYRJ5IWN2DWX6JROYLOTJ}

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	2026-05-18T01:12:21.528238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

793c25b3114f5166e876bf9317616e9a6e22cebea3a2d0240e83c7cb78ce5237

Aliases

arxiv: 1510.00438 · arxiv_version: 1510.00438v2 · doi: 10.48550/arxiv.1510.00438 · pith_short_12: PE6CLMYRJ5IW · pith_short_16: PE6CLMYRJ5IWN2DW · pith_short_8: PE6CLMYR

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/PE6CLMYRJ5IWN2DWX6JROYLOTJ \
  | 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: 793c25b3114f5166e876bf9317616e9a6e22cebea3a2d0240e83c7cb78ce5237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8893d2afcd9af8a4dd442d1116f87069016a35c4e7ade5b3061b0624eb020f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-01T22:15:18Z",
    "title_canon_sha256": "801bf246504c143b6bd1af4671384533d3e9f1d8d1b96737388bb28fafaf1350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00438",
    "kind": "arxiv",
    "version": 2
  }
}