Pith Number

pith:W2KNAJH6

pith:2013:W2KNAJH6YWCDOSWCNHLYX7SLBD

not attested not anchored not stored refs pending

A refinement of the Shuffle Conjecture with cars of two sizes and $t=1/q$

Angela Hicks, Emily Leven

arxiv:1304.7026 v1 · 2013-04-25 · 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{W2KNAJH6YWCDOSWCNHLYX7SLBD}

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	2026-05-18T03:27:02.778746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b694d024fec584374ac269d78bfe4b08ccae24ba1f2deed922f9dcffeeba691a

Aliases

arxiv: 1304.7026 · arxiv_version: 1304.7026v1 · doi: 10.48550/arxiv.1304.7026 · pith_short_12: W2KNAJH6YWCD · pith_short_16: W2KNAJH6YWCDOSWC · pith_short_8: W2KNAJH6

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/W2KNAJH6YWCDOSWCNHLYX7SLBD \
  | 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: b694d024fec584374ac269d78bfe4b08ccae24ba1f2deed922f9dcffeeba691a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a948bbfb676a99fdfde5a795077f863985ef1f5d93b87c709b5430fe64bf3728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-25T20:47:22Z",
    "title_canon_sha256": "4282181e13a6455079307b5b3c9b4a9177bedefbe6ec9de0b140fab4f3e71052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7026",
    "kind": "arxiv",
    "version": 1
  }
}