Pith Number

pith:BJC35NNW

pith:2016:BJC35NNWSZS3Q57EVF4WEPEVSJ

not attested not anchored not stored refs pending

A combinatorial formula expressing periodic $R$-polynomials

Hideya Watanabe, Satoshi Naito

arxiv:1603.02778 v2 · 2016-03-09 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJC35NNWSZS3Q57EVF4WEPEVSJ}

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	2026-05-18T00:08:31.684309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a45beb5b69665b877e4a979623c95925bbd35aa7192d0144f492d15b376ffe3

Aliases

arxiv: 1603.02778 · arxiv_version: 1603.02778v2 · doi: 10.48550/arxiv.1603.02778 · pith_short_12: BJC35NNWSZS3 · pith_short_16: BJC35NNWSZS3Q57E · pith_short_8: BJC35NNW

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/BJC35NNWSZS3Q57EVF4WEPEVSJ \
  | 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: 0a45beb5b69665b877e4a979623c95925bbd35aa7192d0144f492d15b376ffe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3de9a8685410eeff6863301a0c370ef8900a48b743255705bcbba20b4ed857",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-03-09T03:50:02Z",
    "title_canon_sha256": "ed5cfba1433db35468533e1a43bfc5de40913a2737612875c7a177ffb14c8958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02778",
    "kind": "arxiv",
    "version": 2
  }
}