Pith Number

pith:A7I46TVX

pith:2012:A7I46TVXVQW7BOSMBRYKQNWCX5

not attested not anchored not stored refs pending

A new `dinv' arising from the two part case of the Shuffle Conjecture

Adrian Duane, Adriano M. Garsia, Mike Zabrocki

arxiv:1205.6128 v1 · 2012-05-28 · 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{A7I46TVXVQW7BOSMBRYKQNWCX5}

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	2026-05-18T03:54:48.234287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d1cf4eb7ac2df0ba4c0c70a836c2bf591d736a9bce81c06d03db4a1db67a9c

Aliases

arxiv: 1205.6128 · arxiv_version: 1205.6128v1 · doi: 10.48550/arxiv.1205.6128 · pith_short_12: A7I46TVXVQW7 · pith_short_16: A7I46TVXVQW7BOSM · pith_short_8: A7I46TVX

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/A7I46TVXVQW7BOSMBRYKQNWCX5 \
  | 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: 07d1cf4eb7ac2df0ba4c0c70a836c2bf591d736a9bce81c06d03db4a1db67a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00f823af5ddc93945dd28e69af0655b2af51c8882c903194a70a3bab3f993ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-28T14:33:41Z",
    "title_canon_sha256": "29e6b1c5fd238e8d963a07386fa8372142c4e929c56beceedc6411e64acf2819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6128",
    "kind": "arxiv",
    "version": 1
  }
}