Pith Number

pith:7JYZDHI4

pith:2018:7JYZDHI4WMYU3HKWUCM2UTPFBR

not attested not anchored not stored refs pending

A combinatorial formula for certain binomial coefficients for Jack polynomials

Siddhartha Sahi, Yusra Naqvi

arxiv:1807.10325 v1 · 2018-07-26 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JYZDHI4WMYU3HKWUCM2UTPFBR}

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	2026-05-18T00:09:40.939190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa71919d1cb3314d9d56a099aa4de50c5714c6706f10945f8c98cb6593f64ef9

Aliases

arxiv: 1807.10325 · arxiv_version: 1807.10325v1 · doi: 10.48550/arxiv.1807.10325 · pith_short_12: 7JYZDHI4WMYU · pith_short_16: 7JYZDHI4WMYU3HKW · pith_short_8: 7JYZDHI4

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/7JYZDHI4WMYU3HKWUCM2UTPFBR \
  | 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: fa71919d1cb3314d9d56a099aa4de50c5714c6706f10945f8c98cb6593f64ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70463e22195748c77e1ab07dee39066a027890222feabf43d9b00d1e259cce79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-26T19:13:51Z",
    "title_canon_sha256": "a0d05f301915f2d2bb3fbd48032b61a50deb53e31870006708c9fb069e28b39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10325",
    "kind": "arxiv",
    "version": 1
  }
}