Pith Number

pith:TTUON4UY

pith:2013:TTUON4UYSOY7IEEF3SXAS7RQLD

not attested not anchored not stored refs pending

The Pieri rule for dual immaculate quasi-symmetric functions

Juana S\'anchez-Ortega, Mike Zabrocki, Nantel Bergeron

arxiv:1307.4273 v3 · 2013-07-16 · 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{TTUON4UYSOY7IEEF3SXAS7RQLD}

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	2026-05-18T01:00:10.579764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce8e6f29893b1f41085dcae097e3058d96227e0df8a7c70823d84df534df3e0

Aliases

arxiv: 1307.4273 · arxiv_version: 1307.4273v3 · doi: 10.48550/arxiv.1307.4273 · pith_short_12: TTUON4UYSOY7 · pith_short_16: TTUON4UYSOY7IEEF · pith_short_8: TTUON4UY

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/TTUON4UYSOY7IEEF3SXAS7RQLD \
  | 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: 9ce8e6f29893b1f41085dcae097e3058d96227e0df8a7c70823d84df534df3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b99449e9a08738678c819028eddebe3c7b3b1344549d73894fd5429b70ecf7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-16T13:43:27Z",
    "title_canon_sha256": "73a5a25b8286f11179d3cb0f34f88c9eb0331066ffbb29d01b15f69b44cdcf47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4273",
    "kind": "arxiv",
    "version": 3
  }
}