Pith Number

pith:G65LJHST

pith:2014:G65LJHST5QUW5B5D4ICOYWTCNP

not attested not anchored not stored refs pending

Bounds on the Kronecker coefficients

Greta Panova, Igor Pak

arxiv:1406.2988 v2 · 2014-06-11 · 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{G65LJHST5QUW5B5D4ICOYWTCNP}

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	2026-05-18T02:49:45.343874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37bab49e53ec296e87a3e204ec5a626bcc0602b09f7bcb31a7ae257e1a4e09e2

Aliases

arxiv: 1406.2988 · arxiv_version: 1406.2988v2 · doi: 10.48550/arxiv.1406.2988 · pith_short_12: G65LJHST5QUW · pith_short_16: G65LJHST5QUW5B5D · pith_short_8: G65LJHST

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/G65LJHST5QUW5B5D4ICOYWTCNP \
  | 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: 37bab49e53ec296e87a3e204ec5a626bcc0602b09f7bcb31a7ae257e1a4e09e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b8650dc0ea1db3991231b3df179ed5d577c8d41c70caddab808376fe58fea5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-11T18:26:08Z",
    "title_canon_sha256": "a3ed539652c83596c193ee0749a8798ec49d3aca8c04fcbd41b7a781b5b4a05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2988",
    "kind": "arxiv",
    "version": 2
  }
}