Pith Number

pith:ZYZKWUSG

pith:2010:ZYZKWUSGQZCFLE4W6MQG4ELVUU

not attested not anchored not stored refs pending

k-shape poset and branching of k-Schur functions

Jennifer Morse, Luc Lapointe, Mark Shimozono, Thomas Lam

arxiv:1007.5334 v1 · 2010-07-29 · 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{ZYZKWUSGQZCFLE4W6MQG4ELVUU}

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	2026-05-18T04:42:45.429210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce32ab52468644559396f3206e1175a520f425530e88e3d1c2bb018c2eb94db3

Aliases

arxiv: 1007.5334 · arxiv_version: 1007.5334v1 · doi: 10.48550/arxiv.1007.5334 · pith_short_12: ZYZKWUSGQZCF · pith_short_16: ZYZKWUSGQZCFLE4W · pith_short_8: ZYZKWUSG

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/ZYZKWUSGQZCFLE4W6MQG4ELVUU \
  | 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: ce32ab52468644559396f3206e1175a520f425530e88e3d1c2bb018c2eb94db3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6911b3285e9bdca74cfa6cce855f8063e213bc5155f5629c58510cd74f42782",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-29T21:05:15Z",
    "title_canon_sha256": "330f5f98ea3bb1c8b24f1bfdf4adef43c83257b7b85ce682309b039340f0eef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5334",
    "kind": "arxiv",
    "version": 1
  }
}