Pith Number

pith:PMR7QO6J

pith:2015:PMR7QO6JGLUIBTNNTQY4EXW3PS

not attested not anchored not stored refs pending

Kronecker coefficients and noncommutative super Schur functions

Jonah Blasiak, Ricky Ini Liu

arxiv:1510.00644 v1 · 2015-10-02 · math.CO · math.RA · 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{PMR7QO6JGLUIBTNNTQY4EXW3PS}

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	2026-05-18T01:31:12.415266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b23f83bc932e880cdad9c31c25edb7c85e3eb36b71f64c58a2aafc33c1308bf

Aliases

arxiv: 1510.00644 · arxiv_version: 1510.00644v1 · doi: 10.48550/arxiv.1510.00644 · pith_short_12: PMR7QO6JGLUI · pith_short_16: PMR7QO6JGLUIBTNN · pith_short_8: PMR7QO6J

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/PMR7QO6JGLUIBTNNTQY4EXW3PS \
  | 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: 7b23f83bc932e880cdad9c31c25edb7c85e3eb36b71f64c58a2aafc33c1308bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6a27e900492369c93053fc04789e7320bb18a57ced5887ad3203ff1c35de08",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-02T17:06:25Z",
    "title_canon_sha256": "2228af54e52fc54abb651b40371578b974b1280b4fadf60bc050f6473f333d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00644",
    "kind": "arxiv",
    "version": 1
  }
}