Pith Number

pith:RJKK2KFA

pith:2014:RJKK2KFAODW23YO2DTE6SJ3K75

not attested not anchored not stored refs pending

Bounds on Kronecker and $q$-binomial coefficients

Greta Panova, Igor Pak

arxiv:1410.7087 v3 · 2014-10-26 · 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{RJKK2KFAODW23YO2DTE6SJ3K75}

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	2026-05-18T01:15:53.279372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a54ad28a070edade1da1cc9e9276aff54691c57cd724905f2058d4394d7fcd8

Aliases

arxiv: 1410.7087 · arxiv_version: 1410.7087v3 · doi: 10.48550/arxiv.1410.7087 · pith_short_12: RJKK2KFAODW2 · pith_short_16: RJKK2KFAODW23YO2 · pith_short_8: RJKK2KFA

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/RJKK2KFAODW23YO2DTE6SJ3K75 \
  | 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: 8a54ad28a070edade1da1cc9e9276aff54691c57cd724905f2058d4394d7fcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6124751a196c6d6ab615e0e8f149afbcb5901cf44c144d90780a632b58eff7a7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-26T21:29:12Z",
    "title_canon_sha256": "f5b7f37d9b6ace36a2dc85f1777c4918e088793f01ea7816732c38ea290c49ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7087",
    "kind": "arxiv",
    "version": 3
  }
}