Pith Number

pith:4D7RDP7A

pith:2019:4D7RDP7A4OLHAJJ4BBQKJCSTJV

not attested not anchored not stored refs pending

Horn inequalities for nonzero Kronecker coefficients

Nicolas Ressayre (ICJ)

arxiv:1907.07931 v1 · 2019-07-18 · math.AG · 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{4D7RDP7A4OLHAJJ4BBQKJCSTJV}

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	2026-05-17T23:40:15.662448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ff11bfe0e39670253c0860a48a534d609b787993d0ad4353f01c021c0de179

Aliases

arxiv: 1907.07931 · arxiv_version: 1907.07931v1 · doi: 10.48550/arxiv.1907.07931 · pith_short_12: 4D7RDP7A4OLH · pith_short_16: 4D7RDP7A4OLHAJJ4 · pith_short_8: 4D7RDP7A

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/4D7RDP7A4OLHAJJ4BBQKJCSTJV \
  | 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: e0ff11bfe0e39670253c0860a48a534d609b787993d0ad4353f01c021c0de179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9992f7468c7a946caa7099d75b2a2fcc9aec112af6cdc62190c7d8a1d996fe5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-18T09:10:10Z",
    "title_canon_sha256": "1f4af32cf48f6cf4e7de8a0b6a1949805f6b2f276d7651e50641a7cebb0b5ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07931",
    "kind": "arxiv",
    "version": 1
  }
}