Pith Number

pith:56EOLJJX

pith:2011:56EOLJJXSXTZAY5Q62AZ5D7RVM

not attested not anchored not stored refs pending

Representations of sl(2) in the Boolean lattice, and the Hamming and Johnson schemes

Philip Feinsilver

arxiv:1102.0368 v2 · 2011-02-02 · 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{56EOLJJXSXTZAY5Q62AZ5D7RVM}

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	2026-05-18T00:56:10.684716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef88e5a53795e79063b0f6819e8ff1ab04d1f7287c4f6c03468bf3dad9642f9f

Aliases

arxiv: 1102.0368 · arxiv_version: 1102.0368v2 · doi: 10.48550/arxiv.1102.0368 · pith_short_12: 56EOLJJXSXTZ · pith_short_16: 56EOLJJXSXTZAY5Q · pith_short_8: 56EOLJJX

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/56EOLJJXSXTZAY5Q62AZ5D7RVM \
  | 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: ef88e5a53795e79063b0f6819e8ff1ab04d1f7287c4f6c03468bf3dad9642f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab9113b5f8c5e863c77225801b2165a7a6853458bad86103699f007a78100e4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-02T06:39:57Z",
    "title_canon_sha256": "812cc721f606f5d5d3766e21fa4e2327b0173984101d573aa3d99ff10bf6c0a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0368",
    "kind": "arxiv",
    "version": 2
  }
}