Pith Number

pith:BKCBBCRW

pith:2015:BKCBBCRWTZAKJPXJRAFCS7WWU6

not attested not anchored not stored refs pending

A generalized SXP rule proved by bijections and involutions

Mark Wildon

arxiv:1508.07030 v2 · 2015-08-27 · 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{BKCBBCRWTZAKJPXJRAFCS7WWU6}

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	2026-05-18T01:02:56.856589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a84108a369e40a4bee9880a297ed6a788dde5f88b1b19ea355d1b3412fcffaf

Aliases

arxiv: 1508.07030 · arxiv_version: 1508.07030v2 · doi: 10.48550/arxiv.1508.07030 · pith_short_12: BKCBBCRWTZAK · pith_short_16: BKCBBCRWTZAKJPXJ · pith_short_8: BKCBBCRW

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/BKCBBCRWTZAKJPXJRAFCS7WWU6 \
  | 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: 0a84108a369e40a4bee9880a297ed6a788dde5f88b1b19ea355d1b3412fcffaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c2735d198059a3f274a510544b9688fdad65c4aaa548bd9c3531998c3d4513",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-27T21:00:33Z",
    "title_canon_sha256": "5b784c86cb50fce56cc56f70c74b8db7c08f7f4e82ae53e7b50be6ffbe796e37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07030",
    "kind": "arxiv",
    "version": 2
  }
}