Pith Number

pith:K4NW7WXX

pith:2014:K4NW7WXXZNDQBOPJAEAJD6Q62H

not attested not anchored not stored refs pending

Some new applications of the Stanley-Macdonald Pieri Rules

A.M. Garsia, G. Xin, J. Haglund, M. Zabrocki

arxiv:1407.7916 v1 · 2014-07-30 · 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{K4NW7WXXZNDQBOPJAEAJD6Q62H}

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	2026-05-18T02:46:14.203205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571b6fdaf7cb4700b9e9010091fa1ed1fc4ebf55fa827ae531d81ac04f1083fe

Aliases

arxiv: 1407.7916 · arxiv_version: 1407.7916v1 · doi: 10.48550/arxiv.1407.7916 · pith_short_12: K4NW7WXXZNDQ · pith_short_16: K4NW7WXXZNDQBOPJ · pith_short_8: K4NW7WXX

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/K4NW7WXXZNDQBOPJAEAJD6Q62H \
  | 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: 571b6fdaf7cb4700b9e9010091fa1ed1fc4ebf55fa827ae531d81ac04f1083fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c2025a31b3df52a345c41666ad8199665d38615af34c7e53ac38e98c6e587d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-30T01:24:26Z",
    "title_canon_sha256": "ae6be8ffe442c53c5b98b4eb5ae15269176f567ca1517882314436a2a5d9cf59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7916",
    "kind": "arxiv",
    "version": 1
  }
}